Landfalling tropical cyclones(LTCs)undergo rapid structural adjustments and complex nonlinear interactions in coastal regions,making short-term prediction of heavy rainfall and damaging winds particularly challenging....Landfalling tropical cyclones(LTCs)undergo rapid structural adjustments and complex nonlinear interactions in coastal regions,making short-term prediction of heavy rainfall and damaging winds particularly challenging.Conventional intermittent data assimilation often introduces dynamical imbalances into the analysis fields,which may further deteriorate subsequent forecasts.This study investigates the landfall process of Typhoon Bebinca(2024)and systematically evaluates a set of ensemble-based assimilation experiments conducted within an Incremental Analysis Update(IAU)framework,incorporating multiple observation types,including radar reflectivity,Doppler radial velocity,and surface measurements.The results show that the IAU technique,through the gradual application of analysis increments within a four-dimensional time window,effectively suppresses initialization shocks,alleviates spurious dynamical imbalance,and preserves flowdependent coordination.The IAU-based framework efficiently retains observational information,optimizes vortex structure,intensifies the warm core,and promotes the formation of a vertically coherent subsidence column within the eye region,thereby strengthening the secondary circulation.In addition,the IAU scheme also helps establish a more consolidated and axisymmetric moisture core,accompanied by a sea-level pressure field with smoother and dynamically coherent gradient structures,indicating a more physically balanced thermodynamic–dynamic coupling.These balanced analyses translate into more accurate forecasts of track,intensity evolution,and landfall-induced precipitation.Overall,the IAU-enhanced ensemble assimilation system substantially improves the physical consistency of storm analyses and significantly increases the short-term predictability of LTC track,rainfall,and wind hazards over coastal urban regions.展开更多
Analytically connecting equilibrium criticality and dynamical quantum phase transitions(DQPTs)under complex driving fields remains a significant challenge,primarily due to the combinatorial complexity of non-local lon...Analytically connecting equilibrium criticality and dynamical quantum phase transitions(DQPTs)under complex driving fields remains a significant challenge,primarily due to the combinatorial complexity of non-local long-range entanglement.Here,we decode this connection in the 2D strongly interacting Wen-plaquette model.By mapping its anyonic excitations to 1D effective dissipative channels,we reveal that microscopic single-particle fidelity zeros exactly reconstruct the macroscopic equilibrium topological phase boundaries.Beyond equilibrium,we demonstrate that during non-unitary quench dynamics,these very same static singularities enforce a momentumspace exclusion against dynamical Fisher zeros.Furthermore,a newly identified dissipation-phase racing mechanism prematurely depletes the decaying mode,suppressing DQPTs and generating topologically trivial steady states.Our results establish exact microscopic static singularities as an analytical decoder for macroscopic non-unitary topological dynamics involving discrete symmetry breaking.展开更多
Epoxy resins are widely employed in wind turbine blades,drone rotors,and automotive interiors due to their excel-lent mechani-cal proper-ties and long service life.However,their insoluble and infusible cross-linked ne...Epoxy resins are widely employed in wind turbine blades,drone rotors,and automotive interiors due to their excel-lent mechani-cal proper-ties and long service life.However,their insoluble and infusible cross-linked networks pose a significant re-cycling challenge,particularly with the impending retirement of the first generation of wind turbine blades.In this work,we reported a fully bio-based epoxy Vitrimer(FEP)incorporat-ing a dual-dynamic covalent network design and systematically investigated the influence of the 1,5,7-triazabicyclo[4.4.0]dec-5-ene(TBD)catalyst on its curing kinetics,thermal/mechan-ical properties,dynamic exchange behavior,and degradation performance in a mild alkaline solution.Compared to conventional epoxy resins,FEP exhibited superior tensile strength and elongation at break at an optimal TBD concentration(2 wt%),achieving an excellent strength-toughness balance.The presence of TBD accelerated the exchange rates of both disulfide and ester bonds,endowing FEP with notable stress relaxation at elevated tempera-tures.Moreover,FEP demonstrated complete dissolution in 1 mol/L NaOH within 6 h at 25℃.These results underscored the exceptional strength,toughness,and recyclability of FEP,positioning it as a promising,environmentally friendly matrix resin for next-generation appli-cations in the new energy sector.展开更多
With the in-depth implementation of sustainable development strategies,hydrogen energy as a clean energy source is receiving increasing attention[1,2].Among the various methods of hydrogen production,the electrocataly...With the in-depth implementation of sustainable development strategies,hydrogen energy as a clean energy source is receiving increasing attention[1,2].Among the various methods of hydrogen production,the electrocatalytic decomposition of abundant seawater into hydrogen utilizing renewable energy has emerged as a green and promising approach.However,natural seawater contains complex components,such as halide ions,which lead to the corrosion of catalysts or the occurrence of competitive side reactions during the electrolysis process[3].展开更多
In this manuscript,we consider a non-autonomous dynamical system.Using the Carathéodory structure,we define a BS dimension on an arbitrary subset and obtain a Bowen’s equation that illustrates the relation of th...In this manuscript,we consider a non-autonomous dynamical system.Using the Carathéodory structure,we define a BS dimension on an arbitrary subset and obtain a Bowen’s equation that illustrates the relation of the BS dimension to the Pesin-Pitskel topological pressure given by Nazarian[24].Moreover,we establish a variational principle and an inverse variational principle for the BS dimension of non-autonomous dynamical systems.Finally,we also get an analogue of Billingsley’s theorem for the BS dimension of non-autonomous dynamical systems.展开更多
Numerous studies have addressed the stability of fluid between two thermally conducting plates(frequently abbreviated as Rayleigh-Bénard convection).The Lorenz system serves as the classical model of Rayleigh-B...Numerous studies have addressed the stability of fluid between two thermally conducting plates(frequently abbreviated as Rayleigh-Bénard convection).The Lorenz system serves as the classical model of Rayleigh-Bénard convection problems and provides a paradigm for the laminar-to-turbulent transition.In this paper we study the dynamical mechanism and energy conversion of the Lorenz equation.The Lorenz chaotic system is transformed into a Kolmogorov-type system,which is decomposed into four types of torques:inertial torque,internal torque,dissipation torque and external torque.By combining different torques,the key factors for the generation of chaos in the Lorenz system–the mathematical model corresponding to the Rayleigh-Bénard convection problem–have been studied.We further investigate the conversion among Hamiltonian,kinetic and potential energies,as well as the correlation between the energies and the Reynolds number.It is concluded that the combination of all four torques is necessary to produce chaos,and the system can produce chaos only when the dissipative torques match the driving(external)torques.Any combination of three types of torques cannot produce chaos.The external torque,driven by heat from the bottom plate,supplies energy and that leads to the production of roll vortices and chaos.Moreover,we introduce the Casimir function to analyze the system dynamics,and use its derivative to formulate the energy conversion.The bound of the chaotic attractor is obtained by the Casimir function and Lagrange multiplier.It is found that the Casimir function reflects the energy conversion and the distance between the orbit and the equilibria.展开更多
Dynamic melt modification of polyethylene via the direct grafting of peroxide fragments shows promise for the development of processable functionalized materials.In this study,four linear low-density polyethylenes(LLD...Dynamic melt modification of polyethylene via the direct grafting of peroxide fragments shows promise for the development of processable functionalized materials.In this study,four linear low-density polyethylenes(LLDPEs)with comparable molecular weights but different short-chain branch(SCB)contents(ranging of 5-66 per 1000 carbon atoms)were modified via dynamic melt mixing using 2 wt% benzoyl peroxide at 145℃ and 50 r/min for 30 min.The influence of SCB content on the processability and structure of the resulting products was systematically investigated.All modified products exhibited good melt processability with melt flow rates(MFR)ranging from 0.46 g/10min to 1.07 g/10min.Products derived from low-SCB LLDPEs showed a lower MFR,higher cross-linking content,a larger number of long-chain branches,and a higher degree of benzoyl grafting.In contrast,those produced from high-SCB LLDPEs exhibited improved processability,reduced cross-linking,fewer long-chain branches,and lower benzoyl grafting levels.A detailed structural investigation of the soluble and insoluble fractions,which were separated using trichlorobenzene fractionation,was conducted to analyze the structural features of various modified products and demonstrate that the SCB content(i.e.,tertiary carbon density)significantly influences radical coupling during dynamic modification.Elevated tertiary carbon density,by introducing greater steric hindrance,suppresses radical coupling during dynamic modification,thereby reducing the efficiency of both crosslinking and peroxide fragment grafting.These findings provide new insights into the structure-reactivity relationships in peroxide-induced polyethylene modification and lay the foundation for tailoring material properties via dynamic processing.展开更多
This paper investigates a distributed generalized Nash equilibrium-seeking problem in stochastic dynamical systems,focusing on two key challenges:1)nonlinear coupled constraints and nonlinear dynamics,and 2)nonconvex ...This paper investigates a distributed generalized Nash equilibrium-seeking problem in stochastic dynamical systems,focusing on two key challenges:1)nonlinear coupled constraints and nonlinear dynamics,and 2)nonconvex objectives influenced by disturbances with unknown time-varying distributions.To address these challenges,a distributionally robust game framework with an exact penalty is proposed.We introduce a first-order equilibrium concept suitable for nonconvex-nonsmooth settings and ensure finite-sample guarantees.Furthermore,a distributed zeroth-order feedback algorithm is proposed to solve the problem.This algorithm utilizes gradient estimators for the objective functions and subgradient estimators for the exact penalty terms.We provide a detailed analysis of the relationship between communication errors and the dynamic energy of the system,along with an expected upper bound for the zeroth-order gradient estimation.Our findings indicate that the expectation of the time-accumulated regret grows at a sublinear rate.Furthermore,as the distribution stabilizes,we show that the empirical distribution converges with O(1)sampling complexity.展开更多
Fluid-conveying pipes have been widely used in diverse engineering fields,particularly in aerospace systems,nuclear power plants,oil transportation infrastructure,and biomedical devices.The recent advancements in 3D p...Fluid-conveying pipes have been widely used in diverse engineering fields,particularly in aerospace systems,nuclear power plants,oil transportation infrastructure,and biomedical devices.The recent advancements in 3D printing and materials science have increased research interest in the stability and vibration characteristics of slender pipes fabricated from hard magnetic soft(HMS)materials for magnetic control applications.Although several theoretical investigations have been conducted on magnetically controlled cantilevered fluid-conveying pipes,the understanding of their dynamical behavior in vascular environments remains incomplete.In this study,we investigate the buckling and dynamical behaviors of an HMS pipe under the combined effects of an applied magnetic field and nonlinear distributed spring constraints.By solving the nonlinear governing equation,natural frequencies,critical flow velocities,buckling displacements,and dynamic responses of the HMS pipe conveying fluid are obtained.The analysis reveals that the addition of distributed spring constraints leads to a substantial reduction in both buckling and dynamic displacements of the pipe system.Under constant magnetic field conditions,the pipe exhibits static deformation characteristics even when exposed to flow velocities exceeding the critical threshold for buckling instability.When subjected to an alternating magnetic field,the pipe system exhibits periodic oscillatory behavior across a wide range of flow velocities.This periodic response is characterized by displacement variations that show direct correlation with changes in the magnetic declination angle.Notably,nonlinear resonance phenomena associated with the first-mode natural frequency can occur even when the flow velocity is below the threshold for buckling instability.These results demonstrate that both magnetic field strength and declination angle offer a possible means for adjusting the stability,buckling behavior,and dynamic response of an HMS pipe.展开更多
We apply the minimal dilation technique to establish the covariant representation dilation systems for covariant maps on some concrete dynamical systems so that we can further develop the homomorphism dilations for in...We apply the minimal dilation technique to establish the covariant representation dilation systems for covariant maps on some concrete dynamical systems so that we can further develop the homomorphism dilations for integrated forms of covariant maps on crossed products operator algebras.First,we review the covariant version of Stinespring's theorem for covariant completely positive(CP)maps on C*-dynamical systems and on crossed product C*-algebras.Next,we establish the minimal dilation systems for covariant maps on the Banach algebra dynamical systems.Then,we integrate the covariant representation dilations into homomorphism dilations for integrated forms of covariant maps on crossed product Banach algebras.For commutative W*-dynamical systems,we build imprimitivity system dilations for the covariant operator-valued measures(OVMs)and then take quantization to acquire the homomorphism dilations for the normal covariant maps.While for noncommutative W*-dynamical systems,we put an additional assumption on covariant maps to acquire normal covariant Jordan homomorphism dilations.Finally,we combine Mackey's construction to show that every transitive covariant normalized positive operator-valued measure(POVM)on the homogeneous space can always be embedded in a system of imprimitivity and the corresponding unitary representation is equivalent to a subrepresentation of an induced representation from a closed subgroup,which generalizes classical Naimark's theorem.展开更多
In multi-orbital systems,the correlation strength is typically attributed to Coulomb interactions and Hund's couplings.However,this study demonstrates that on-site inter-orbital hybridization can also significant ...In multi-orbital systems,the correlation strength is typically attributed to Coulomb interactions and Hund's couplings.However,this study demonstrates that on-site inter-orbital hybridization can also significant influence the correlation strength of the system.We investigate the impact of on-site inter-orbital hybridization on the correlation strength of a two-orbital Hubbard model on a square lattice using the dynamical mean-field theory combined with Lanczos exact diagonalization.Our findings reveal a distinct Janus effect:on-site inter-orbital hybridization enhances correlation strength in the non-half-filled regime while suppresses it at half-filling.This dual role of on-site inter-orbital hybridization provides a fundamental mechanism for tuning the strength of correlations in multi-orbital systems.展开更多
Randomness and nonlinearity are essential properties of the real world,and their interaction gives rise to highly complex phenomena.With the advancement of technology,merely observing data of the current system state ...Randomness and nonlinearity are essential properties of the real world,and their interaction gives rise to highly complex phenomena.With the advancement of technology,merely observing data of the current system state is no longer sufficient for prediction and application in various fields.Consequently,extracting the nonlinear evolution nature of the system from noisy data has become a prominent and challenging issue.To address this,we propose an integrated approach that combines data-driven stochastic model identification with a knowledge-based model predictive control strategy.By leveraging high-precision model identification,our data-driven control design is particularly effective for continuous target tracking problems that are difficult to address using traditional precise-model-based control theory.Furthermore,the central challenge in data science lies in maximizing the informational value of datasets while minimizing the effects of observation noise.In this study,we propose and rigorously demonstrate the stochastic Occam’s razor principle,a stochastic error estimation theory that evaluates and enhances the design of data-driven schemes to mitigate the effect of observation noise.Notably,our approach offers valuable insights for contemporary data-driven,end-to-end control challenges,particularly those involving uncertain governing equations and substantial non-Gaussian observation noise.展开更多
Precise forecasts of wildfire danger are crucial for proactive fuel management and emergency responses,yet they pose a challenge at the subseasonal scale due to limitations in prediction capabilities and a gap between...Precise forecasts of wildfire danger are crucial for proactive fuel management and emergency responses,yet they pose a challenge at the subseasonal scale due to limitations in prediction capabilities and a gap between forecast outputs and the needs of decision-makers.This study introduces an innovative hybrid modeling framework that integrates artificial intelligence(AI)with climate dynamic prediction systems to accurately forecast High Fire-Danger Days(HFDDs)for the following month.These HFDDs are derived from historical satellite fire data and the optimum fire danger index,with a particular focus on Southwest China as a case study.The AI module,based on the ResNet-18 neural network model,integrates observational and physically constrained analysis to establish links between HFDDs and optimal predictors of atmospheric circulation from both the concurrent and preceding months.Leveraging climate dynamical forecasting,this hybrid model provides more reliable deterministic predictions for monthly HFDDs than conventional methods that rely solely on terrestrial variables such as precipitation.More importantly,the integration of dynamical ensemble prediction enhances the model’s capability for skillful probabilistic predictions of HFDDs,facilitating the creation of customized fire danger outlooks and emergency action maps tailored to stakeholders’needs.The model’s added economic value was also evaluated,demonstrating its potential to improve decision-making in disaster management and bridge the“last-mile gap”in climate service delivery.This work contributes to the Seamless Prediction and Services for Sustainable Natural and Built Environment(SEPRESS)Program(2025–32),under the United Nations Educational Scientific and Cultural Organization(UNESCO)International Decade of Sciences for Sustainable Development(2024–33).展开更多
In this paper,a new numerical solution method is proposed for dealing with differential-algebraic equations(DAEs)for dynamics of multibody systems with nonholonomic constraints.The nonholonomic constraints directly re...In this paper,a new numerical solution method is proposed for dealing with differential-algebraic equations(DAEs)for dynamics of multibody systems with nonholonomic constraints.The nonholonomic constraints directly restrict the velocity coor-dinates,resulting in no corresponding position constraint equations.Therefore,the traditional state-space method is insufficient to solve such DAEs.In the proposed state-space method,direct integration of the ordinary differential equations obtained from the index-1 DAEs,ensures that the acceleration constraints are satisfied and provides initial values for the dependent variables.Subsequently,position and velocity constraint equations are solved to update dependent variables,strictly ensuring satisfaction of constraints at three levels.Currently,LU decomposition is the most used method to define the state-space method.However,in order to ensure the accuracy and stability of the algorithm,coordinate identification is required at every time step,which reduces the computational efficiency.Therefore,in this paper,the state-space method defined by singular value decomposition(SVD)is proposed,which does not require frequent coordinate identification and improves the computational efficiency.Numerical exam-ples show that the state-space method based on SVD outperforms the LU decomposition in terms of computational efficiency and stability.展开更多
Traditional dynamic analysis of mechanical structures,often limited to individual beams or plates,fails to fully capture their dynamic behaviors.In systems where space and mass are constrained,such as the battery supp...Traditional dynamic analysis of mechanical structures,often limited to individual beams or plates,fails to fully capture their dynamic behaviors.In systems where space and mass are constrained,such as the battery support structures in electric aircraft,conventional absorbers and isolators are insufficient for effective vibration control.This study simplifies the battery support structure of electric aircraft as an integrated composite beam consisting of three interconnected beams,and investigated its structural dynamics properties and nonlinear vibration control under thermal conditions caused by battery heat.The nonlinear vibration control is performed using the Nitinol steel wire ropes(Ni Ti-ST),with nonlinear damping properties.The natural frequencies of system are determined using the Rayleigh-Ritz technique.Theoretical results are validated through both Finite Element Method(FEM)and hammer tests.Moreover,the dynamic equations are derived using the Lagrange method and discretized via the Galerkin Truncation Method(GTM).The Harmonic Balance Method(HBM)is used to evaluate the vibration responses of the integrated model,with further verification through the Runge-Kutta Method(RKM).The experiments are conducted to corroborate the theoretical analysis.The results show that the system frequency changes in stages with the increase of the stiffness of the integrated composite beam connection.Especially in the case of varying environments,as the temperature increases,the frequency of system will first increase to a certain maximum value and then gradually decrease.Furthermore,the NiTi-ST effectively reduces vibration in the integrated composite beam,particularly under varying temperatures and external excitations.展开更多
The outbreak of infectious diseases is the result of a combination of various factors,including season,the movement of individuals,non-pharmaceutical interventions(NPIs)and the effectiveness and availability of vaccin...The outbreak of infectious diseases is the result of a combination of various factors,including season,the movement of individuals,non-pharmaceutical interventions(NPIs)and the effectiveness and availability of vaccines.Taking these key elements into consideration,an almost periodic SVEIR warning model in the patch environment is here proposed.First,in terms of reproduction numbers,our results imply that if the effective reproduction numbers are Re1,then the disease spreads and leads to local outbreaks.Second,the relationships between Reand Cs1,Ca1(see Section 2)are given by numerical simulations.The numerical results show that even if all people are vaccinated,NPIs are still needed because of the potentially low efficacy of vaccines.Furthermore,the numerical results suggest that NPIs and the strengthening of the effective rate of vaccination are essential in order to achieve herd immunity.Theories involving this model effectively explain the transmission mechanism of most infectious diseases,and provide a valuable theoretical basis for analyzing new infectious diseases in the future.Moreover,this model is helpful for the prevention and control of infectious diseases and the formulation of public health safety policies.展开更多
Metallic glasses are a unique class of materials with exceptional mechanical properties,including high strength,excellent corrosion resistance,and significant elasticity.These materials display intriguing dynamical re...Metallic glasses are a unique class of materials with exceptional mechanical properties,including high strength,excellent corrosion resistance,and significant elasticity.These materials display intriguing dynamical relaxation processes,which influence their mechanical and thermal properties.Understanding the dynamical relaxations in metallic glasses is crucial for optimizing their performance in various applications.Due to the restrictions of experimental techniques to access processes at the atomic level,the detailed mechanisms responsible for the dynamical relaxations cannot be easily obtained.Numerical simulations are potential candidates to analyze the elementary dynamical processes at the atomic scale and thus to capture the fundamental origin of dynamical relaxations.The development of computing has allowed researchers to reach an enormous advancement in the understanding of the physical mechanisms behind dynamical relaxations in metallic glasses.This review provides a brief overview of the current state of research in numerical simulations of dynamical relaxations in metallic glasses,highlighting key methodologies,significant findings,ongoing challenges,and future directions.By synthesizing current research,this review emphasizes the importance of these simulations in improving the design and processing of metallic glasses(from structural materials to high-performance components)for a wide range of applications.展开更多
This paper investigates the dynamical evolution of parallel hybrid dynamical systems on complete bipartite graphs,where the local functions for the two vertex sets are configured as the Boolean XOR and OR functions,re...This paper investigates the dynamical evolution of parallel hybrid dynamical systems on complete bipartite graphs,where the local functions for the two vertex sets are configured as the Boolean XOR and OR functions,respectively.Through mathematical deduction and computer simulation,the results show that when the number of OR-vertices is odd,the system exhibits both fixed points and period-2 points.Conversely,when the number of OR-vertices is even,only fixed points exist.Furthermore,the necessary and sufficient conditions for the existence of these states,along with their specific counting formulas,are derived.展开更多
This paper proposes a mixed primal-dual dynamical system with constant damping and Hessian-driven damping for solving linearly constrained optimization problems.The system consists of a second-order ordinary different...This paper proposes a mixed primal-dual dynamical system with constant damping and Hessian-driven damping for solving linearly constrained optimization problems.The system consists of a second-order ordinary differential equation(ODE)with Hessian-driven damping for the primal variable and a first-order ordinary differential equation for the dual variable.By constructing an appropriate Lyapunov function,we analyze the convergence properties of the primal-dual gap,the feasibility measure and the objective function value,and establish exponential convergence rates under suitable scaling coefficients.Based on a time discretization of the continuous-time system,we derive an inertial primal-dual algorithm and validate the theoretical findings through numerical experiments,demonstrating the effectiveness and robustness of the proposed method.展开更多
The performance of polymer electrolytes in lithium metal batteries(LMBs)is often hindered by strong Li+-ligand coordination,which leads to tightly bound solvation shells and restricts ion transport by coupling it t...The performance of polymer electrolytes in lithium metal batteries(LMBs)is often hindered by strong Li+-ligand coordination,which leads to tightly bound solvation shells and restricts ion transport by coupling it to polymer segmental motion.In this study,a low-content ionic plasticizer additive1-butyl-3-dimethylimidazolium bromide(BMImBr)was introduced into the PVDF-HFP/LiTFSI/DMF matrix to modulate the Li+solvation environment.Unlike conventional dual-salt systems,the introduced Br-anions dynamically compete for Li+coordination,disrupting the rigid Li+-TFSI-/DMF solvation shell and constructing a"statistically labile and diffuse ionic cloud"characterized by reduced coordination numbers,weakened binding energies,and a more diffuse electrostatic potential landscape.This restructured solvation environment facilitates partially decoupled Li+transport,as evidenced by dielectric spectroscopy and molecular dynamics simulations.Furthermore,the in situ formation of a LiBr-rich solid electrolyte interphase(SEI)effectively stabilizes the Li-metal interface and significantly reduces interfacial resistance.As a result,the optimized polymer electrolyte delivers outstanding electrochemical performance,achieving a high ionic conductivity of 0.8×10-4 S/cm,ultra-stable symmetric cell cycling over 500 h,and superior capacity retention exceeding 94%after 150 cycles at 0.5 C.This study elucidates a dynamic ion transport mechanism driven by competitive anion coordination and provides a viable strategy for simultaneously addressing the conductivity-stability trade-off in solid-state lithium metal batteries.展开更多
基金supported by the China Postdoctoral Science Foundation(2024M763628)the Shanghai Post-doctoral Excellence Program(2024736)the STCSM|Science and Technology Innovation Plan of Shanghai Science and Technology Commission(24YF2757000)。
摘要Landfalling tropical cyclones(LTCs)undergo rapid structural adjustments and complex nonlinear interactions in coastal regions,making short-term prediction of heavy rainfall and damaging winds particularly challenging.Conventional intermittent data assimilation often introduces dynamical imbalances into the analysis fields,which may further deteriorate subsequent forecasts.This study investigates the landfall process of Typhoon Bebinca(2024)and systematically evaluates a set of ensemble-based assimilation experiments conducted within an Incremental Analysis Update(IAU)framework,incorporating multiple observation types,including radar reflectivity,Doppler radial velocity,and surface measurements.The results show that the IAU technique,through the gradual application of analysis increments within a four-dimensional time window,effectively suppresses initialization shocks,alleviates spurious dynamical imbalance,and preserves flowdependent coordination.The IAU-based framework efficiently retains observational information,optimizes vortex structure,intensifies the warm core,and promotes the formation of a vertically coherent subsidence column within the eye region,thereby strengthening the secondary circulation.In addition,the IAU scheme also helps establish a more consolidated and axisymmetric moisture core,accompanied by a sea-level pressure field with smoother and dynamically coherent gradient structures,indicating a more physically balanced thermodynamic–dynamic coupling.These balanced analyses translate into more accurate forecasts of track,intensity evolution,and landfall-induced precipitation.Overall,the IAU-enhanced ensemble assimilation system substantially improves the physical consistency of storm analyses and significantly increases the short-term predictability of LTC track,rainfall,and wind hazards over coastal urban regions.
基金supported by the Guangdong Basic and Applied Basic Research Foundation(Grant No.2023A1515110081)the Open Fund of Key Laboratory of Multiscale Spin Physics(Ministry of Education)+4 种基金the Beijing Normal University(Grant No.SPIN2024K01)the Fundamental Research Funds for the Central Universities(Grant Nos.FRF-TP-22-098A1 and FRF-IDRY-24-28)the National Key R&D Program of China(Grant No.2023YFA1406704)the National Natural Science Foundation of China(Grant Nos.12174030 and 12405030)the open research fund of Beijing National Laboratory for Condensed Matter Physics(Grant No.2025BNLCMPKF021).
摘要Analytically connecting equilibrium criticality and dynamical quantum phase transitions(DQPTs)under complex driving fields remains a significant challenge,primarily due to the combinatorial complexity of non-local long-range entanglement.Here,we decode this connection in the 2D strongly interacting Wen-plaquette model.By mapping its anyonic excitations to 1D effective dissipative channels,we reveal that microscopic single-particle fidelity zeros exactly reconstruct the macroscopic equilibrium topological phase boundaries.Beyond equilibrium,we demonstrate that during non-unitary quench dynamics,these very same static singularities enforce a momentumspace exclusion against dynamical Fisher zeros.Furthermore,a newly identified dissipation-phase racing mechanism prematurely depletes the decaying mode,suppressing DQPTs and generating topologically trivial steady states.Our results establish exact microscopic static singularities as an analytical decoder for macroscopic non-unitary topological dynamics involving discrete symmetry breaking.
基金support from the National Natural Science Foundation of China(Nos.22293011,T2341001)the Major Science and Technology Project of Anhui Province(202203a06020010).
摘要Epoxy resins are widely employed in wind turbine blades,drone rotors,and automotive interiors due to their excel-lent mechani-cal proper-ties and long service life.However,their insoluble and infusible cross-linked networks pose a significant re-cycling challenge,particularly with the impending retirement of the first generation of wind turbine blades.In this work,we reported a fully bio-based epoxy Vitrimer(FEP)incorporat-ing a dual-dynamic covalent network design and systematically investigated the influence of the 1,5,7-triazabicyclo[4.4.0]dec-5-ene(TBD)catalyst on its curing kinetics,thermal/mechan-ical properties,dynamic exchange behavior,and degradation performance in a mild alkaline solution.Compared to conventional epoxy resins,FEP exhibited superior tensile strength and elongation at break at an optimal TBD concentration(2 wt%),achieving an excellent strength-toughness balance.The presence of TBD accelerated the exchange rates of both disulfide and ester bonds,endowing FEP with notable stress relaxation at elevated tempera-tures.Moreover,FEP demonstrated complete dissolution in 1 mol/L NaOH within 6 h at 25℃.These results underscored the exceptional strength,toughness,and recyclability of FEP,positioning it as a promising,environmentally friendly matrix resin for next-generation appli-cations in the new energy sector.
基金financially supported by the Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications(No.NY223016)Qinglan Project of Jiangsu Province of China2024 Nanjing Science and Technology Innovation Program(No.NJKCZYZZ2024-06)。
摘要With the in-depth implementation of sustainable development strategies,hydrogen energy as a clean energy source is receiving increasing attention[1,2].Among the various methods of hydrogen production,the electrocatalytic decomposition of abundant seawater into hydrogen utilizing renewable energy has emerged as a green and promising approach.However,natural seawater contains complex components,such as halide ions,which lead to the corrosion of catalysts or the occurrence of competitive side reactions during the electrolysis process[3].
基金supported by the NSFC(12461012)and the NSF of Chongqing(CSTB2024NSCQ-MSX1246).
摘要In this manuscript,we consider a non-autonomous dynamical system.Using the Carathéodory structure,we define a BS dimension on an arbitrary subset and obtain a Bowen’s equation that illustrates the relation of the BS dimension to the Pesin-Pitskel topological pressure given by Nazarian[24].Moreover,we establish a variational principle and an inverse variational principle for the BS dimension of non-autonomous dynamical systems.Finally,we also get an analogue of Billingsley’s theorem for the BS dimension of non-autonomous dynamical systems.
基金Supported by National Natural Science Foundation of China(Grant No.11572146)Research Projects Foundation of Guangdong University of Science and Technology(Grant No.GKY-2025KYZDK-25)+1 种基金The PhD Research Startup Foundation of Guangdong University of Science and Technology(Grant No.GKY-2022BSQD-36)Guangdong University of Science and Technology Quality Engineering Project(Grant No.GKZLGC2025268)。
摘要Numerous studies have addressed the stability of fluid between two thermally conducting plates(frequently abbreviated as Rayleigh-Bénard convection).The Lorenz system serves as the classical model of Rayleigh-Bénard convection problems and provides a paradigm for the laminar-to-turbulent transition.In this paper we study the dynamical mechanism and energy conversion of the Lorenz equation.The Lorenz chaotic system is transformed into a Kolmogorov-type system,which is decomposed into four types of torques:inertial torque,internal torque,dissipation torque and external torque.By combining different torques,the key factors for the generation of chaos in the Lorenz system–the mathematical model corresponding to the Rayleigh-Bénard convection problem–have been studied.We further investigate the conversion among Hamiltonian,kinetic and potential energies,as well as the correlation between the energies and the Reynolds number.It is concluded that the combination of all four torques is necessary to produce chaos,and the system can produce chaos only when the dissipative torques match the driving(external)torques.Any combination of three types of torques cannot produce chaos.The external torque,driven by heat from the bottom plate,supplies energy and that leads to the production of roll vortices and chaos.Moreover,we introduce the Casimir function to analyze the system dynamics,and use its derivative to formulate the energy conversion.The bound of the chaotic attractor is obtained by the Casimir function and Lagrange multiplier.It is found that the Casimir function reflects the energy conversion and the distance between the orbit and the equilibria.
基金financially supported by the Science and Technology Project of PetroChina Company Limited,China(No.2022DJ6314)the National Natural Science Foundation of China(No.52173056)。
摘要Dynamic melt modification of polyethylene via the direct grafting of peroxide fragments shows promise for the development of processable functionalized materials.In this study,four linear low-density polyethylenes(LLDPEs)with comparable molecular weights but different short-chain branch(SCB)contents(ranging of 5-66 per 1000 carbon atoms)were modified via dynamic melt mixing using 2 wt% benzoyl peroxide at 145℃ and 50 r/min for 30 min.The influence of SCB content on the processability and structure of the resulting products was systematically investigated.All modified products exhibited good melt processability with melt flow rates(MFR)ranging from 0.46 g/10min to 1.07 g/10min.Products derived from low-SCB LLDPEs showed a lower MFR,higher cross-linking content,a larger number of long-chain branches,and a higher degree of benzoyl grafting.In contrast,those produced from high-SCB LLDPEs exhibited improved processability,reduced cross-linking,fewer long-chain branches,and lower benzoyl grafting levels.A detailed structural investigation of the soluble and insoluble fractions,which were separated using trichlorobenzene fractionation,was conducted to analyze the structural features of various modified products and demonstrate that the SCB content(i.e.,tertiary carbon density)significantly influences radical coupling during dynamic modification.Elevated tertiary carbon density,by introducing greater steric hindrance,suppresses radical coupling during dynamic modification,thereby reducing the efficiency of both crosslinking and peroxide fragment grafting.These findings provide new insights into the structure-reactivity relationships in peroxide-induced polyethylene modification and lay the foundation for tailoring material properties via dynamic processing.
基金supported in part by the National Natural Science Foundation of China(62373226,62133008)。
摘要This paper investigates a distributed generalized Nash equilibrium-seeking problem in stochastic dynamical systems,focusing on two key challenges:1)nonlinear coupled constraints and nonlinear dynamics,and 2)nonconvex objectives influenced by disturbances with unknown time-varying distributions.To address these challenges,a distributionally robust game framework with an exact penalty is proposed.We introduce a first-order equilibrium concept suitable for nonconvex-nonsmooth settings and ensure finite-sample guarantees.Furthermore,a distributed zeroth-order feedback algorithm is proposed to solve the problem.This algorithm utilizes gradient estimators for the objective functions and subgradient estimators for the exact penalty terms.We provide a detailed analysis of the relationship between communication errors and the dynamic energy of the system,along with an expected upper bound for the zeroth-order gradient estimation.Our findings indicate that the expectation of the time-accumulated regret grows at a sublinear rate.Furthermore,as the distribution stabilizes,we show that the empirical distribution converges with O(1)sampling complexity.
基金support from the National Natural Science Foundation of China (NSFC) through grant numbers 12325201 and 52205594.
摘要Fluid-conveying pipes have been widely used in diverse engineering fields,particularly in aerospace systems,nuclear power plants,oil transportation infrastructure,and biomedical devices.The recent advancements in 3D printing and materials science have increased research interest in the stability and vibration characteristics of slender pipes fabricated from hard magnetic soft(HMS)materials for magnetic control applications.Although several theoretical investigations have been conducted on magnetically controlled cantilevered fluid-conveying pipes,the understanding of their dynamical behavior in vascular environments remains incomplete.In this study,we investigate the buckling and dynamical behaviors of an HMS pipe under the combined effects of an applied magnetic field and nonlinear distributed spring constraints.By solving the nonlinear governing equation,natural frequencies,critical flow velocities,buckling displacements,and dynamic responses of the HMS pipe conveying fluid are obtained.The analysis reveals that the addition of distributed spring constraints leads to a substantial reduction in both buckling and dynamic displacements of the pipe system.Under constant magnetic field conditions,the pipe exhibits static deformation characteristics even when exposed to flow velocities exceeding the critical threshold for buckling instability.When subjected to an alternating magnetic field,the pipe system exhibits periodic oscillatory behavior across a wide range of flow velocities.This periodic response is characterized by displacement variations that show direct correlation with changes in the magnetic declination angle.Notably,nonlinear resonance phenomena associated with the first-mode natural frequency can occur even when the flow velocity is below the threshold for buckling instability.These results demonstrate that both magnetic field strength and declination angle offer a possible means for adjusting the stability,buckling behavior,and dynamic response of an HMS pipe.
基金supported by the NSF(DMS-2105038)supported by the NSFC(12301162)+2 种基金supported by the NSFC(11671214,11971348,12071230,12471131)the Hebei Natural Science Foundation(A2024202039)the Hundred Young Academia Leaders Program of Nankai University。
摘要We apply the minimal dilation technique to establish the covariant representation dilation systems for covariant maps on some concrete dynamical systems so that we can further develop the homomorphism dilations for integrated forms of covariant maps on crossed products operator algebras.First,we review the covariant version of Stinespring's theorem for covariant completely positive(CP)maps on C*-dynamical systems and on crossed product C*-algebras.Next,we establish the minimal dilation systems for covariant maps on the Banach algebra dynamical systems.Then,we integrate the covariant representation dilations into homomorphism dilations for integrated forms of covariant maps on crossed product Banach algebras.For commutative W*-dynamical systems,we build imprimitivity system dilations for the covariant operator-valued measures(OVMs)and then take quantization to acquire the homomorphism dilations for the normal covariant maps.While for noncommutative W*-dynamical systems,we put an additional assumption on covariant maps to acquire normal covariant Jordan homomorphism dilations.Finally,we combine Mackey's construction to show that every transitive covariant normalized positive operator-valued measure(POVM)on the homogeneous space can always be embedded in a system of imprimitivity and the corresponding unitary representation is equivalent to a subrepresentation of an induced representation from a closed subgroup,which generalizes classical Naimark's theorem.
基金Project supported by the National Natural Science Foundation of China(Grant No.12174327)the Natural Science Foundation of Shandong Province,China(Grant No.ZR2023ZD09)。
摘要In multi-orbital systems,the correlation strength is typically attributed to Coulomb interactions and Hund's couplings.However,this study demonstrates that on-site inter-orbital hybridization can also significant influence the correlation strength of the system.We investigate the impact of on-site inter-orbital hybridization on the correlation strength of a two-orbital Hubbard model on a square lattice using the dynamical mean-field theory combined with Lanczos exact diagonalization.Our findings reveal a distinct Janus effect:on-site inter-orbital hybridization enhances correlation strength in the non-half-filled regime while suppresses it at half-filling.This dual role of on-site inter-orbital hybridization provides a fundamental mechanism for tuning the strength of correlations in multi-orbital systems.
基金supported by the National Natural Science Foundation of China(Grant No.12172167).
摘要Randomness and nonlinearity are essential properties of the real world,and their interaction gives rise to highly complex phenomena.With the advancement of technology,merely observing data of the current system state is no longer sufficient for prediction and application in various fields.Consequently,extracting the nonlinear evolution nature of the system from noisy data has become a prominent and challenging issue.To address this,we propose an integrated approach that combines data-driven stochastic model identification with a knowledge-based model predictive control strategy.By leveraging high-precision model identification,our data-driven control design is particularly effective for continuous target tracking problems that are difficult to address using traditional precise-model-based control theory.Furthermore,the central challenge in data science lies in maximizing the informational value of datasets while minimizing the effects of observation noise.In this study,we propose and rigorously demonstrate the stochastic Occam’s razor principle,a stochastic error estimation theory that evaluates and enhances the design of data-driven schemes to mitigate the effect of observation noise.Notably,our approach offers valuable insights for contemporary data-driven,end-to-end control challenges,particularly those involving uncertain governing equations and substantial non-Gaussian observation noise.
基金J.YANG was supported by funding from the National Natural Science Foundation of China(Grant Nos.42475022,42261144671)the National Key R&D Program of China(Project No.2024YFC3013100)+2 种基金the Fundamental Research Funds for the Central UniversitiesM.LU was supported by the Otto Poon Centre of Climate Resilience and Sustainability at HKUST and the Hong Kong Research Grant Committee(Project No.16300424)Data processing and storage were supported by the National Key Scientific and Technological Infrastructure project“Earth System Numerical Simulation Facility”(EarthLab).
摘要Precise forecasts of wildfire danger are crucial for proactive fuel management and emergency responses,yet they pose a challenge at the subseasonal scale due to limitations in prediction capabilities and a gap between forecast outputs and the needs of decision-makers.This study introduces an innovative hybrid modeling framework that integrates artificial intelligence(AI)with climate dynamic prediction systems to accurately forecast High Fire-Danger Days(HFDDs)for the following month.These HFDDs are derived from historical satellite fire data and the optimum fire danger index,with a particular focus on Southwest China as a case study.The AI module,based on the ResNet-18 neural network model,integrates observational and physically constrained analysis to establish links between HFDDs and optimal predictors of atmospheric circulation from both the concurrent and preceding months.Leveraging climate dynamical forecasting,this hybrid model provides more reliable deterministic predictions for monthly HFDDs than conventional methods that rely solely on terrestrial variables such as precipitation.More importantly,the integration of dynamical ensemble prediction enhances the model’s capability for skillful probabilistic predictions of HFDDs,facilitating the creation of customized fire danger outlooks and emergency action maps tailored to stakeholders’needs.The model’s added economic value was also evaluated,demonstrating its potential to improve decision-making in disaster management and bridge the“last-mile gap”in climate service delivery.This work contributes to the Seamless Prediction and Services for Sustainable Natural and Built Environment(SEPRESS)Program(2025–32),under the United Nations Educational Scientific and Cultural Organization(UNESCO)International Decade of Sciences for Sustainable Development(2024–33).
基金supported by the grants from the National Natural Science Foundation of China(Grant Nos.12232012,12102191 and 12072159)the Fundamental Research Funds for the Central Universities(Grant Nos.30922010314 and 30924010822).
摘要In this paper,a new numerical solution method is proposed for dealing with differential-algebraic equations(DAEs)for dynamics of multibody systems with nonholonomic constraints.The nonholonomic constraints directly restrict the velocity coor-dinates,resulting in no corresponding position constraint equations.Therefore,the traditional state-space method is insufficient to solve such DAEs.In the proposed state-space method,direct integration of the ordinary differential equations obtained from the index-1 DAEs,ensures that the acceleration constraints are satisfied and provides initial values for the dependent variables.Subsequently,position and velocity constraint equations are solved to update dependent variables,strictly ensuring satisfaction of constraints at three levels.Currently,LU decomposition is the most used method to define the state-space method.However,in order to ensure the accuracy and stability of the algorithm,coordinate identification is required at every time step,which reduces the computational efficiency.Therefore,in this paper,the state-space method defined by singular value decomposition(SVD)is proposed,which does not require frequent coordinate identification and improves the computational efficiency.Numerical exam-ples show that the state-space method based on SVD outperforms the LU decomposition in terms of computational efficiency and stability.
基金supported by the National Natural Science Foundation of China(No.12272240)the Liaoning Revitalization Talents Program,China(No.XLYC2203197)。
摘要Traditional dynamic analysis of mechanical structures,often limited to individual beams or plates,fails to fully capture their dynamic behaviors.In systems where space and mass are constrained,such as the battery support structures in electric aircraft,conventional absorbers and isolators are insufficient for effective vibration control.This study simplifies the battery support structure of electric aircraft as an integrated composite beam consisting of three interconnected beams,and investigated its structural dynamics properties and nonlinear vibration control under thermal conditions caused by battery heat.The nonlinear vibration control is performed using the Nitinol steel wire ropes(Ni Ti-ST),with nonlinear damping properties.The natural frequencies of system are determined using the Rayleigh-Ritz technique.Theoretical results are validated through both Finite Element Method(FEM)and hammer tests.Moreover,the dynamic equations are derived using the Lagrange method and discretized via the Galerkin Truncation Method(GTM).The Harmonic Balance Method(HBM)is used to evaluate the vibration responses of the integrated model,with further verification through the Runge-Kutta Method(RKM).The experiments are conducted to corroborate the theoretical analysis.The results show that the system frequency changes in stages with the increase of the stiffness of the integrated composite beam connection.Especially in the case of varying environments,as the temperature increases,the frequency of system will first increase to a certain maximum value and then gradually decrease.Furthermore,the NiTi-ST effectively reduces vibration in the integrated composite beam,particularly under varying temperatures and external excitations.
基金supported by the NSFC(11501269)and the Natural Science Foundation of Gansu Province(23JRRA1041).
摘要The outbreak of infectious diseases is the result of a combination of various factors,including season,the movement of individuals,non-pharmaceutical interventions(NPIs)and the effectiveness and availability of vaccines.Taking these key elements into consideration,an almost periodic SVEIR warning model in the patch environment is here proposed.First,in terms of reproduction numbers,our results imply that if the effective reproduction numbers are Re1,then the disease spreads and leads to local outbreaks.Second,the relationships between Reand Cs1,Ca1(see Section 2)are given by numerical simulations.The numerical results show that even if all people are vaccinated,NPIs are still needed because of the potentially low efficacy of vaccines.Furthermore,the numerical results suggest that NPIs and the strengthening of the effective rate of vaccination are essential in order to achieve herd immunity.Theories involving this model effectively explain the transmission mechanism of most infectious diseases,and provide a valuable theoretical basis for analyzing new infectious diseases in the future.Moreover,this model is helpful for the prevention and control of infectious diseases and the formulation of public health safety policies.
摘要Metallic glasses are a unique class of materials with exceptional mechanical properties,including high strength,excellent corrosion resistance,and significant elasticity.These materials display intriguing dynamical relaxation processes,which influence their mechanical and thermal properties.Understanding the dynamical relaxations in metallic glasses is crucial for optimizing their performance in various applications.Due to the restrictions of experimental techniques to access processes at the atomic level,the detailed mechanisms responsible for the dynamical relaxations cannot be easily obtained.Numerical simulations are potential candidates to analyze the elementary dynamical processes at the atomic scale and thus to capture the fundamental origin of dynamical relaxations.The development of computing has allowed researchers to reach an enormous advancement in the understanding of the physical mechanisms behind dynamical relaxations in metallic glasses.This review provides a brief overview of the current state of research in numerical simulations of dynamical relaxations in metallic glasses,highlighting key methodologies,significant findings,ongoing challenges,and future directions.By synthesizing current research,this review emphasizes the importance of these simulations in improving the design and processing of metallic glasses(from structural materials to high-performance components)for a wide range of applications.
基金"Smart Curriculum"Project of Donghua University(ZHH-2025-08)Shanghai Philosophy and Social Sciences Planning Project(2021BPX005)。
摘要This paper investigates the dynamical evolution of parallel hybrid dynamical systems on complete bipartite graphs,where the local functions for the two vertex sets are configured as the Boolean XOR and OR functions,respectively.Through mathematical deduction and computer simulation,the results show that when the number of OR-vertices is odd,the system exhibits both fixed points and period-2 points.Conversely,when the number of OR-vertices is even,only fixed points exist.Furthermore,the necessary and sufficient conditions for the existence of these states,along with their specific counting formulas,are derived.
基金supported by the National Natural Science Foundation of China(No.12571186)the Central Government Guided Local Science and Technology Development Project(No.2024ZYD0059)。
摘要This paper proposes a mixed primal-dual dynamical system with constant damping and Hessian-driven damping for solving linearly constrained optimization problems.The system consists of a second-order ordinary differential equation(ODE)with Hessian-driven damping for the primal variable and a first-order ordinary differential equation for the dual variable.By constructing an appropriate Lyapunov function,we analyze the convergence properties of the primal-dual gap,the feasibility measure and the objective function value,and establish exponential convergence rates under suitable scaling coefficients.Based on a time discretization of the continuous-time system,we derive an inertial primal-dual algorithm and validate the theoretical findings through numerical experiments,demonstrating the effectiveness and robustness of the proposed method.
基金the China Scholarship Council(CSC)for a doctoral scholarship(Grant Nos.202006310030,202108530138 and 202108530139)。
摘要The performance of polymer electrolytes in lithium metal batteries(LMBs)is often hindered by strong Li+-ligand coordination,which leads to tightly bound solvation shells and restricts ion transport by coupling it to polymer segmental motion.In this study,a low-content ionic plasticizer additive1-butyl-3-dimethylimidazolium bromide(BMImBr)was introduced into the PVDF-HFP/LiTFSI/DMF matrix to modulate the Li+solvation environment.Unlike conventional dual-salt systems,the introduced Br-anions dynamically compete for Li+coordination,disrupting the rigid Li+-TFSI-/DMF solvation shell and constructing a"statistically labile and diffuse ionic cloud"characterized by reduced coordination numbers,weakened binding energies,and a more diffuse electrostatic potential landscape.This restructured solvation environment facilitates partially decoupled Li+transport,as evidenced by dielectric spectroscopy and molecular dynamics simulations.Furthermore,the in situ formation of a LiBr-rich solid electrolyte interphase(SEI)effectively stabilizes the Li-metal interface and significantly reduces interfacial resistance.As a result,the optimized polymer electrolyte delivers outstanding electrochemical performance,achieving a high ionic conductivity of 0.8×10-4 S/cm,ultra-stable symmetric cell cycling over 500 h,and superior capacity retention exceeding 94%after 150 cycles at 0.5 C.This study elucidates a dynamic ion transport mechanism driven by competitive anion coordination and provides a viable strategy for simultaneously addressing the conductivity-stability trade-off in solid-state lithium metal batteries.