As a key component of injection molding,multi-cavity hot runner(MCHR)system faces the crucial problem of polymer melt filling imbalance among the cavities.The thermal imbalance in the system has been considered as the...As a key component of injection molding,multi-cavity hot runner(MCHR)system faces the crucial problem of polymer melt filling imbalance among the cavities.The thermal imbalance in the system has been considered as the leading cause.Hence,the solution may rest with the synchronization of those heating processes in MCHR system.This paper proposes a’Master-Slave’generalized predictive synchronization control(MS-GPSC)method with’Mr.Slowest’strategy for preheating stage of MCHR system.The core of the proposed method is choosing the heating process with slowest dynamics as the’Master’to track the setpoint,while the other heating processes are treated as‘Slaves’tracking the output of’Master’.This proposed method is shown to have the good ability of temperature synchronization.The corresponding analysis is conducted on parameters tuning and stability,simulations and experiments show the strategy is effective.展开更多
This paper investigates the problem of cluster synchronization of master-slave complex net-works with time-varying delay via linear and adaptive feedback pinning controls.We need not non-delayed and delayed coupling m...This paper investigates the problem of cluster synchronization of master-slave complex net-works with time-varying delay via linear and adaptive feedback pinning controls.We need not non-delayed and delayed coupling matrices to be symmetric or irreducible.We have the advantages of using adaptive control method to reduce control gain and pinning control technology to reduce cost.By con-structing Lyapunov function,some sufficient synchronization criteria are established.Finally,numerical examples are employed to illustrate the effectiveness of the proposed approach.展开更多
This paper studies the fixed-time synchronization(FxTS)and predefined-time synchronization(PTS)of a class of inertial memristive neural networks(IMNNs),which have unbounded proportional delay independent of time linea...This paper studies the fixed-time synchronization(FxTS)and predefined-time synchronization(PTS)of a class of inertial memristive neural networks(IMNNs),which have unbounded proportional delay independent of time linearity and mismatched switching jump coefficients.Based on Filippov solution theory and Lyapunov methods,this work develops an enhanced FxTS criterion delivering a tighter upper bound on convergence time and thereby extending guaranteed fixed-time behavior to a wider range of networks.A refined PTS condition that incorporates additional state-dependent terms accelerates error decay and reduces conservatism during the transient response.Numerical simulations show that the convergence rate of PTS under this strategy is significantly improved.Moreover,an optimization model with minimum control energy and dynamic error as objective functions is proposed to obtain more accurate controller parameters,and the stochastic inertia weight particle swarm optimization(SIWPSO)algorithm is introduced to solve the optimization model.Numerical studies not only validate the theoretical results for both FxTS and PTS but also demonstrate a secure communication application in which the chaos of the IMNNs acts as a masking carrier and enables perfect encryption and decryption of a complex test signal through SIWPSO-optimized FxTS and PTS.展开更多
Dear Editor,This letter focuses on the synchronization of system state components under the constraint of convergence sequence.Firstly,we introduce the predefined-sequence-synchronized control problem,a unique synchro...Dear Editor,This letter focuses on the synchronization of system state components under the constraint of convergence sequence.Firstly,we introduce the predefined-sequence-synchronized control problem,a unique synchronization challenge where all state components must be synchronized to the origin following a predefined convergence sequence.A controller is proposed to solve the predefined-sequencesynchronized control problem in first-order affine systems,and the proposed controller can regulate the convergence sequence of state components by adjusting their ratios.展开更多
A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisso...A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisson jumps(ISIDSP).The AIIC control strategy inherits the flexibility of aperiodically intermittent control,including the variable control period,adjustable control interval length,and the discretization of impulsive control.In addition,this article introduces a novel mild Itô's formula.By leveraging semigroup theory,the contraction mapping principle,and graph theory,along with constructing the Lyapunov function,the criterion for the existence and uniqueness of a mild solution of ISIDSP is thereby established.Furthermore,the mean-square exponential synchronization problem of the above systems is resolved,and the constraints within the mild solution domain are alleviated.These criteria clarify the impact of control parameters,control intervals and network topology on ESMS.The theoretical results are subsequently applied to a class of neural networks with reaction-diffusion processes,and the validity of the results is verified using numerical simulations.展开更多
This paper concentrates on the study of passivity-based synchronization of inertial neural networks including Markov jump parameters.The second-order differential equations are converted into first-order differential ...This paper concentrates on the study of passivity-based synchronization of inertial neural networks including Markov jump parameters.The second-order differential equations are converted into first-order differential equations using the variable transformation method.To make effective use of network bandwidth resources and to optimize the Markov jump inertial neural networks(MJINNs)performance,an adaptive event-driven protocol controller is studied.To achieve synchronization,an appropriate Lyapunov-Krasovskii functional(LKF)is constructed,which includes double integral terms that capture the information of time-varying delay terms.Some sufficient conditions are obtained in terms of linear matrix inequalities(LMIs)using Reciprocal convex combination lemma(RCCL).Then,a numerical simulation and an application of image encryption are carried out to illustrate the effectiveness of the proposed method.展开更多
This study investigates the impact of higher-order interactions on explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks.We construct a higher-order network model incorporating pairwise(1-simplex...This study investigates the impact of higher-order interactions on explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks.We construct a higher-order network model incorporating pairwise(1-simplex)and three-body(2-simplex)interactions,along with a nonlinear coupling mechanism inspired by the Rosenzweig-MacArthur model.Using the order parameter and standard deviation as metrics,we analyze synchronization dynamics through numerical simulations.Our results demonstrate that higher-order interactions not only enhance the explosive synchronization but also induce hysteresis,with the hysteresis width growing as higher-order coupling strengthens.Furthermore,increasing noise intensity suppresses the bistability induced by higher-order interactions,ultimately eliminating hysteresis.These findings reveal the critical role of higher-order interactions in synchronization dynamics,offering theoretical insights for controlling collective behavior in neuroscience,ecology,and related fields.This work advances the understanding of synchronization in complex systems and provides new methodologies for studying multi-body interactions in real-world networks.展开更多
A growing body of research has focused on neuron–astrocyte networks;however,relatively few studies have explored the modulatory role of physiologically relevant time-delayed autapses in such network architectures.In ...A growing body of research has focused on neuron–astrocyte networks;however,relatively few studies have explored the modulatory role of physiologically relevant time-delayed autapses in such network architectures.In this work,we conduct a preliminary investigation into lag synchronization and phase synchronization of bursting for a pyramidal neuron and an interneuron within a neuron–astrocyte network,which are respectively induced by time delays in excitatory and inhibitory autapses.Our results reveal distinct synchronizations under the regulatory effects of the two types of timedelayed autapses.As the time delay of the excitatory autapses varies,neuronal firing transits from synchronization of the initial bursting through chaotic dynamics and back to synchronized bursting.In contrast,under the modulation of timedelayed inhibitory autapses,the two neurons first exhibit synchronized behaviors across diverse bursting patterns,followed by burst desynchronization.The results uncover the differential regulatory mechanisms of excitatory and inhibitory timedelayed autapses on neuronal synchronization,providing critical empirical evidence for understanding autaptic functions in glia-modulated networks.Moreover,this study lays a solid theoretical foundation for future investigations on autaptic effects in more complex neuron–astrocyte networks and enriches the research landscape of neurodynamics and nonlinear dynamics.展开更多
The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple li...The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities (LMIs), which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.展开更多
Explosive synchronization(ES) describes an abrupt and hysteretic transition from incoherence to collective order and has been widely studied in static networks.Here,we show that temporal variability of network connect...Explosive synchronization(ES) describes an abrupt and hysteretic transition from incoherence to collective order and has been widely studied in static networks.Here,we show that temporal variability of network connectivity can fundamentally reshape this transition.We investigate inertial Kuramoto oscillators evolving on stochastically rewired random networks,where links are continuously replaced at controlled rates,allowing us to tune the interplay between inertia and topological dynamics.Our results reveal that temporal rewiring can both induce and suppress ES depending on the network density and the switching timescale.Sparse networks display ES only under very slow or very rapid switching,whereas denser networks exhibit robust explosive transitions across a broad parameter range.Increasing the rewiring probability generally promotes abrupt synchronization,but excessively frequent rewiring weakens hysteresis and reduces bistability.A systematic exploration across different degrees confirms that ES is most prominent when moderate-tohigh rewiring probability is combined with rapid switching,whereas small rewiring probability favors continuous transitions.These findings demonstrate that temporal randomness is not merely a perturbation but a key control mechanism for abrupt collective behavior,representing how timevarying connectivity governs the onset,robustness,and disappearance of ES in dynamical networks.展开更多
Clock synchronization has important applications in multi-agent collaboration(such as drone light shows,intelligent transportation systems,and game AI),group decision-making,and emergency rescue operations.Synchroniza...Clock synchronization has important applications in multi-agent collaboration(such as drone light shows,intelligent transportation systems,and game AI),group decision-making,and emergency rescue operations.Synchronization method based on pulse-coupled oscillators(PCOs)provides an effective solution for clock synchronization in wireless networks.However,the existing clock synchronization algorithms in multi-agent ad hoc networks are difficult to meet the requirements of high precision and high stability of synchronization clock in group cooperation.Hence,this paper constructs a network model,named DAUNet(unsupervised neural network based on dual attention),to enhance clock synchronization accuracy in multi-agent wireless ad hoc networks.Specifically,we design an unsupervised distributed neural network framework as the backbone,building upon classical PCO-based synchronization methods.This framework resolves issues such as prolonged time synchronization message exchange between nodes,difficulties in centralized node coordination,and challenges in distributed training.Furthermore,we introduce a dual-attention mechanism as the core module of DAUNet.By integrating a Multi-Head Attention module and a Gated Attention module,the model significantly improves information extraction capabilities while reducing computational complexity,effectively mitigating synchronization inaccuracies and instability in multi-agent ad hoc networks.To evaluate the effectiveness of the proposed model,comparative experiments and ablation studies were conducted against classical methods and existing deep learning models.The research results show that,compared with the deep learning networks based on DASA and LSTM,DAUNet can reduce the mean normalized phase difference(NPD)by 1 to 2 orders of magnitude.Compared with the attention models based on additive attention and self-attention mechanisms,the performance of DAUNet has improved by more than ten times.This study demonstrates DAUNet’s potential in advancing multi-agent ad hoc networking technologies.展开更多
Optical non-reciprocity is a fundamental phenomenon in photonics.It is crucial for developing devices that rely on directional signal control,such as optical isolators and circulators.However,most research in this fie...Optical non-reciprocity is a fundamental phenomenon in photonics.It is crucial for developing devices that rely on directional signal control,such as optical isolators and circulators.However,most research in this field has focused on systems in equilibrium or steady states.In this work,we demonstrate a room-temperature Rydberg atomic platform where the unidirectional propagation of light acts as a switch to mediate time-crystalline-like collective oscillations through atomic synchronization.展开更多
This paper addresses a master-slave synchro-nization strategy for complex dynamic systems based on feedback control.This strategy is applied to 3-DOF pla-nar manipulators in order to obtain synchronization in such com...This paper addresses a master-slave synchro-nization strategy for complex dynamic systems based on feedback control.This strategy is applied to 3-DOF pla-nar manipulators in order to obtain synchronization in such complicated as chaotic motions of end-effectors.A chaotic curve is selected from Duffing equation as the trajectory of master end-effector and a piecewise approximation method is proposed to accurately represent this chaotic trajectory of end-effectors.The dynamical equations of master-slave manipulators with synchronization controller are derived,and the Lyapunov stability theory is used to determine the stability of this controlled synchronization system.In numer-ical experiments,the synchronous motions of end-effectors as well as three joint angles and torques of master-slave manipulators are studied under the control of the proposed synchronization strategy.It is found that the positive gain matrix affects the implementation of synchronization con-trol strategy.This synchronization control strategy proves the synchronization's feasibility and controllability for com-plicated motions generated by master-slave manipulators.展开更多
Neuromorphic circuits based on superconducting tunnel junctions have attracted much attention due to their highspeed computing capabilities and low energy consumption.Josephson junction circuits can effectively mimic ...Neuromorphic circuits based on superconducting tunnel junctions have attracted much attention due to their highspeed computing capabilities and low energy consumption.Josephson junction circuits can effectively mimic biological neural dynamics.Leveraging these advantages,we construct a Josephson junction neuron-like model with a phasedependent dissipative current,referred to as a memristive current.The proposed memristive Josephson junction model exhibits complex dynamical behaviors.Furthermore,considering the effect of a fast-modulated synapse,we explore synchronization phenomena in coupled networks under varying coupling conductances and excitatory/inhibitory interactions.Finally,we extend the neuromorphic Josephson junction model—exhibiting complex dynamics—to the field of image encryption.These results not only enrich the understanding of the dynamical characteristics of memristive Josephson junctions but also provide a theoretical basis and technical support for the development of new neural networks and their applications in information security technology.展开更多
A discrete dual-Rulkov neural network with memristive synaptic coupling is constructed to investigate chaotic bursting dynamics and burst synchronization.First,a memristive synapse model suitable for discrete-time neu...A discrete dual-Rulkov neural network with memristive synaptic coupling is constructed to investigate chaotic bursting dynamics and burst synchronization.First,a memristive synapse model suitable for discrete-time neurons is established,and its pinched hysteresis loop(PHL)fingerprint and local activity are verified.Based on this synapse model,a fivedimensional memristively coupled discrete neural system is formulated.By combining Lyapunov exponent spectra(LEs),bifurcation analysis,and equilibrium stability analysis,chaotic and hyperchaotic bursting behaviors induced by variations in the coupling gain are revealed,together with their dynamical evolution characteristics.Furthermore,to characterize irregular spiking activities during chaotic bursting,a joint framework based on the phase-locking value(PLV)and burst envelope correlation(EnvCorr)is introduced,through which three bursting regimes,namely,in-phase bursting(IPB),phaseshifted bursting(PSB),and desynchronized bursting(DB),are identified.Finally,a digital signal processor(DSP)-based real-time hardware implementation is carried out,and the good qualitative agreement between experimental and numerical results demonstrates the physical feasibility of the proposed model.展开更多
This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks.First,to achieve fixed-time passivity,a type of decentralized power-law controller is developed,i...This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks.First,to achieve fixed-time passivity,a type of decentralized power-law controller is developed,in which only one parameter needs to be adjusted in the power-law terms;this greatly decreases the inconvenience of parameter adjustment.Second,several fixed-time passivity criteria with LMI forms are derived by using a Gauss divergence theorem to deal with the spatial diffusion of nodes and by applying the Hölder’s inequality to dispose rigorously the power-law term greater than one in the designed control scheme;this improves the previous theoretical analysis.Additionally,the fixed-time synchronization of spatiotemporal directed networks with multi-weights is addressed as a direct result of fixed-time strict passivity.Finally,a numerical example is presented in order to show the validity of the theoretical analysis.展开更多
In this paper,a class of discontinuous Cohen-Grossberg neural networks with timevarying delays is considered.Firstly,under the extended Filippov differential inclusions framework,the problem of periodic solutions of t...In this paper,a class of discontinuous Cohen-Grossberg neural networks with timevarying delays is considered.Firstly,under the extended Filippov differential inclusions framework,the problem of periodic solutions of the considered neural networks with more relaxed conditions imposed on the amplification functions is analyzed by using set-valued mapping and Kakutani's fixed point theorem,which has rarely been used to study such problem.Secondly,the fixed-time synchronization of the error system of the considered neural networks is also investigated by designing a novel control strategy,which can improve not only the previous ones with sign function greatly,but also can reduce the chattering phenomenon.Finally,two numerical examples are presented to further illustrate the validity of the obtained results.展开更多
This paper addresses the synchronization of follower agents’state vectors with that of a leader in high-order nonlinear multi-agent systems.The proposed low-complexity control scheme employs high-gain observers to es...This paper addresses the synchronization of follower agents’state vectors with that of a leader in high-order nonlinear multi-agent systems.The proposed low-complexity control scheme employs high-gain observers to estimate higher-order synchronization errors,enabling the controller to rely solely on relative output measurements.This approach significantly reduces the dependence on full-state information,which is often infeasible or costly in practical engineering applications.An output feedback control strategy is developed to overcome these limitations while ensuring robust and effective synchronization.Simulation results are provided to demonstrate the effectiveness of the proposed approach and validate the theoretical findings.展开更多
This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique...This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique, a newapproach is proposed to derive some new exponential synchronization criteria.The restriction that the control widthhas to be larger than the time delay is removed.This leads to a larger application scope for our method.Moreover, notranscendental equation is involved in the obtained result, which reduces the computational burden.Two examples aregiven to validate the theoretical results.展开更多
This paper proposes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays comprising different discrete and distributed tim...This paper proposes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays comprising different discrete and distributed time delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaptation law including the master-slave parame- ters are established for designing a delayed synchronization law in terms of linear matrix inequalities(LMIs). The time-varying controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. Particularly, it is shown that the synchronization speed can be controlled by adjusting the updated gain of the synchronization signal. Two numerical examples are given to demonstrate the effectiveness of the method.展开更多
基金supported in part by National Natural Science Foundation of China(62203127)Basic and Applied Basic Research Project of Guangzhou City(2023A04J1712)+1 种基金The Foshan-HKUST Projects Program(FSUST19-FYTRI01)GDAS’Project of Science and Technology Development(2020GDASYL-20200202001).
摘要As a key component of injection molding,multi-cavity hot runner(MCHR)system faces the crucial problem of polymer melt filling imbalance among the cavities.The thermal imbalance in the system has been considered as the leading cause.Hence,the solution may rest with the synchronization of those heating processes in MCHR system.This paper proposes a’Master-Slave’generalized predictive synchronization control(MS-GPSC)method with’Mr.Slowest’strategy for preheating stage of MCHR system.The core of the proposed method is choosing the heating process with slowest dynamics as the’Master’to track the setpoint,while the other heating processes are treated as‘Slaves’tracking the output of’Master’.This proposed method is shown to have the good ability of temperature synchronization.The corresponding analysis is conducted on parameters tuning and stability,simulations and experiments show the strategy is effective.
摘要This paper investigates the problem of cluster synchronization of master-slave complex net-works with time-varying delay via linear and adaptive feedback pinning controls.We need not non-delayed and delayed coupling matrices to be symmetric or irreducible.We have the advantages of using adaptive control method to reduce control gain and pinning control technology to reduce cost.By con-structing Lyapunov function,some sufficient synchronization criteria are established.Finally,numerical examples are employed to illustrate the effectiveness of the proposed approach.
基金supported by the National Natural Science Foundation of China(62366014,62473348)Jiangxi Provincial Natural Science Foundation(20252BAC250013)。
摘要This paper studies the fixed-time synchronization(FxTS)and predefined-time synchronization(PTS)of a class of inertial memristive neural networks(IMNNs),which have unbounded proportional delay independent of time linearity and mismatched switching jump coefficients.Based on Filippov solution theory and Lyapunov methods,this work develops an enhanced FxTS criterion delivering a tighter upper bound on convergence time and thereby extending guaranteed fixed-time behavior to a wider range of networks.A refined PTS condition that incorporates additional state-dependent terms accelerates error decay and reduces conservatism during the transient response.Numerical simulations show that the convergence rate of PTS under this strategy is significantly improved.Moreover,an optimization model with minimum control energy and dynamic error as objective functions is proposed to obtain more accurate controller parameters,and the stochastic inertia weight particle swarm optimization(SIWPSO)algorithm is introduced to solve the optimization model.Numerical studies not only validate the theoretical results for both FxTS and PTS but also demonstrate a secure communication application in which the chaos of the IMNNs acts as a masking carrier and enables perfect encryption and decryption of a complex test signal through SIWPSO-optimized FxTS and PTS.
基金supported in part by the National Natural Science Foundation of China(62103028)China Postdoctoral Science Foundation(2024M762602)。
摘要Dear Editor,This letter focuses on the synchronization of system state components under the constraint of convergence sequence.Firstly,we introduce the predefined-sequence-synchronized control problem,a unique synchronization challenge where all state components must be synchronized to the origin following a predefined convergence sequence.A controller is proposed to solve the predefined-sequencesynchronized control problem in first-order affine systems,and the proposed controller can regulate the convergence sequence of state components by adjusting their ratios.
基金supported in part by the National Natural Science Foundation of China(12471422,62573274,12371173)the Natural Science Foundation of Shandong Province of China(ZR2022LLZ003,ZR2024MF001)the Funding for Visiting Studies and Research by Teachers in Ordinary Undergraduate Colleges and Universities in Shandong Province。
摘要A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisson jumps(ISIDSP).The AIIC control strategy inherits the flexibility of aperiodically intermittent control,including the variable control period,adjustable control interval length,and the discretization of impulsive control.In addition,this article introduces a novel mild Itô's formula.By leveraging semigroup theory,the contraction mapping principle,and graph theory,along with constructing the Lyapunov function,the criterion for the existence and uniqueness of a mild solution of ISIDSP is thereby established.Furthermore,the mean-square exponential synchronization problem of the above systems is resolved,and the constraints within the mild solution domain are alleviated.These criteria clarify the impact of control parameters,control intervals and network topology on ESMS.The theoretical results are subsequently applied to a class of neural networks with reaction-diffusion processes,and the validity of the results is verified using numerical simulations.
摘要This paper concentrates on the study of passivity-based synchronization of inertial neural networks including Markov jump parameters.The second-order differential equations are converted into first-order differential equations using the variable transformation method.To make effective use of network bandwidth resources and to optimize the Markov jump inertial neural networks(MJINNs)performance,an adaptive event-driven protocol controller is studied.To achieve synchronization,an appropriate Lyapunov-Krasovskii functional(LKF)is constructed,which includes double integral terms that capture the information of time-varying delay terms.Some sufficient conditions are obtained in terms of linear matrix inequalities(LMIs)using Reciprocal convex combination lemma(RCCL).Then,a numerical simulation and an application of image encryption are carried out to illustrate the effectiveness of the proposed method.
基金Project supported by the National Natural Science Foundation of China(Grant No.12404233)。
摘要This study investigates the impact of higher-order interactions on explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks.We construct a higher-order network model incorporating pairwise(1-simplex)and three-body(2-simplex)interactions,along with a nonlinear coupling mechanism inspired by the Rosenzweig-MacArthur model.Using the order parameter and standard deviation as metrics,we analyze synchronization dynamics through numerical simulations.Our results demonstrate that higher-order interactions not only enhance the explosive synchronization but also induce hysteresis,with the hysteresis width growing as higher-order coupling strengthens.Furthermore,increasing noise intensity suppresses the bistability induced by higher-order interactions,ultimately eliminating hysteresis.These findings reveal the critical role of higher-order interactions in synchronization dynamics,offering theoretical insights for controlling collective behavior in neuroscience,ecology,and related fields.This work advances the understanding of synchronization in complex systems and provides new methodologies for studying multi-body interactions in real-world networks.
基金supported by the National Natural Science Foundation of China(Grant No.12372060)。
摘要A growing body of research has focused on neuron–astrocyte networks;however,relatively few studies have explored the modulatory role of physiologically relevant time-delayed autapses in such network architectures.In this work,we conduct a preliminary investigation into lag synchronization and phase synchronization of bursting for a pyramidal neuron and an interneuron within a neuron–astrocyte network,which are respectively induced by time delays in excitatory and inhibitory autapses.Our results reveal distinct synchronizations under the regulatory effects of the two types of timedelayed autapses.As the time delay of the excitatory autapses varies,neuronal firing transits from synchronization of the initial bursting through chaotic dynamics and back to synchronized bursting.In contrast,under the modulation of timedelayed inhibitory autapses,the two neurons first exhibit synchronized behaviors across diverse bursting patterns,followed by burst desynchronization.The results uncover the differential regulatory mechanisms of excitatory and inhibitory timedelayed autapses on neuronal synchronization,providing critical empirical evidence for understanding autaptic functions in glia-modulated networks.Moreover,this study lays a solid theoretical foundation for future investigations on autaptic effects in more complex neuron–astrocyte networks and enriches the research landscape of neurodynamics and nonlinear dynamics.
基金supported by the National Natural Science Foundation of China (Grant Nos. 60904046, 60972164, 60974071, and 60804006)the Special Fund for Basic Scientific Research of Central Colleges, Northeastern University, China (Grant No. 090604005)+2 种基金the Science and Technology Program of Shenyang (Grant No. F11-264-1-70)the Program for Liaoning Excellent Talents in University (Grant No. LJQ2011137)the Program for Liaoning Innovative Research Team in University (Grant No. LT2011019)
摘要The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities (LMIs), which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.
摘要Explosive synchronization(ES) describes an abrupt and hysteretic transition from incoherence to collective order and has been widely studied in static networks.Here,we show that temporal variability of network connectivity can fundamentally reshape this transition.We investigate inertial Kuramoto oscillators evolving on stochastically rewired random networks,where links are continuously replaced at controlled rates,allowing us to tune the interplay between inertia and topological dynamics.Our results reveal that temporal rewiring can both induce and suppress ES depending on the network density and the switching timescale.Sparse networks display ES only under very slow or very rapid switching,whereas denser networks exhibit robust explosive transitions across a broad parameter range.Increasing the rewiring probability generally promotes abrupt synchronization,but excessively frequent rewiring weakens hysteresis and reduces bistability.A systematic exploration across different degrees confirms that ES is most prominent when moderate-tohigh rewiring probability is combined with rapid switching,whereas small rewiring probability favors continuous transitions.These findings demonstrate that temporal randomness is not merely a perturbation but a key control mechanism for abrupt collective behavior,representing how timevarying connectivity governs the onset,robustness,and disappearance of ES in dynamical networks.
摘要Clock synchronization has important applications in multi-agent collaboration(such as drone light shows,intelligent transportation systems,and game AI),group decision-making,and emergency rescue operations.Synchronization method based on pulse-coupled oscillators(PCOs)provides an effective solution for clock synchronization in wireless networks.However,the existing clock synchronization algorithms in multi-agent ad hoc networks are difficult to meet the requirements of high precision and high stability of synchronization clock in group cooperation.Hence,this paper constructs a network model,named DAUNet(unsupervised neural network based on dual attention),to enhance clock synchronization accuracy in multi-agent wireless ad hoc networks.Specifically,we design an unsupervised distributed neural network framework as the backbone,building upon classical PCO-based synchronization methods.This framework resolves issues such as prolonged time synchronization message exchange between nodes,difficulties in centralized node coordination,and challenges in distributed training.Furthermore,we introduce a dual-attention mechanism as the core module of DAUNet.By integrating a Multi-Head Attention module and a Gated Attention module,the model significantly improves information extraction capabilities while reducing computational complexity,effectively mitigating synchronization inaccuracies and instability in multi-agent ad hoc networks.To evaluate the effectiveness of the proposed model,comparative experiments and ablation studies were conducted against classical methods and existing deep learning models.The research results show that,compared with the deep learning networks based on DASA and LSTM,DAUNet can reduce the mean normalized phase difference(NPD)by 1 to 2 orders of magnitude.Compared with the attention models based on additive attention and self-attention mechanisms,the performance of DAUNet has improved by more than ten times.This study demonstrates DAUNet’s potential in advancing multi-agent ad hoc networking technologies.
基金supported by the National Natural Science Foundation of China (Grant No.12274131)the Innovation Program for Quantum Science and Technology (Grant No.2024ZD0300101)。
摘要Optical non-reciprocity is a fundamental phenomenon in photonics.It is crucial for developing devices that rely on directional signal control,such as optical isolators and circulators.However,most research in this field has focused on systems in equilibrium or steady states.In this work,we demonstrate a room-temperature Rydberg atomic platform where the unidirectional propagation of light acts as a switch to mediate time-crystalline-like collective oscillations through atomic synchronization.
基金supported by the Key Project of Chinese Ministry of Education(108037)the National Natural Science Foundation of China(10402008 and 50535010)
摘要This paper addresses a master-slave synchro-nization strategy for complex dynamic systems based on feedback control.This strategy is applied to 3-DOF pla-nar manipulators in order to obtain synchronization in such complicated as chaotic motions of end-effectors.A chaotic curve is selected from Duffing equation as the trajectory of master end-effector and a piecewise approximation method is proposed to accurately represent this chaotic trajectory of end-effectors.The dynamical equations of master-slave manipulators with synchronization controller are derived,and the Lyapunov stability theory is used to determine the stability of this controlled synchronization system.In numer-ical experiments,the synchronous motions of end-effectors as well as three joint angles and torques of master-slave manipulators are studied under the control of the proposed synchronization strategy.It is found that the positive gain matrix affects the implementation of synchronization con-trol strategy.This synchronization control strategy proves the synchronization's feasibility and controllability for com-plicated motions generated by master-slave manipulators.
基金supported by the National Natural Science Foundation of China(Grant No.12302070)the Natural Science Foundation of Ningxia(Grant No.2024AAC05002)+1 种基金the Youth Science and Technology Talent Cultivation Project of Ningxiathe Ningxia Science and Technology Leading Talent Training Program(Grant No.2022GKLRLX04)。
摘要Neuromorphic circuits based on superconducting tunnel junctions have attracted much attention due to their highspeed computing capabilities and low energy consumption.Josephson junction circuits can effectively mimic biological neural dynamics.Leveraging these advantages,we construct a Josephson junction neuron-like model with a phasedependent dissipative current,referred to as a memristive current.The proposed memristive Josephson junction model exhibits complex dynamical behaviors.Furthermore,considering the effect of a fast-modulated synapse,we explore synchronization phenomena in coupled networks under varying coupling conductances and excitatory/inhibitory interactions.Finally,we extend the neuromorphic Josephson junction model—exhibiting complex dynamics—to the field of image encryption.These results not only enrich the understanding of the dynamical characteristics of memristive Josephson junctions but also provide a theoretical basis and technical support for the development of new neural networks and their applications in information security technology.
基金supported by the National Natural Science Foundation of China(Grant Nos.62541206,62502250,and62571079)the Liaoning Provincial Science and Technology Plan Joint Project(Grant No.2024-MSLH-033)+1 种基金the Liaoning Provincial Department of Education Basic Scientific Research Projects for Higher Education Institutions(Grant Nos.LJ142510152002 and LJ142510152003)the Dalian Science and Technology Talent Innovation Support Policy Implementation Plan–Young Science and Technology Star(Grant No.2025RQ32)。
摘要A discrete dual-Rulkov neural network with memristive synaptic coupling is constructed to investigate chaotic bursting dynamics and burst synchronization.First,a memristive synapse model suitable for discrete-time neurons is established,and its pinched hysteresis loop(PHL)fingerprint and local activity are verified.Based on this synapse model,a fivedimensional memristively coupled discrete neural system is formulated.By combining Lyapunov exponent spectra(LEs),bifurcation analysis,and equilibrium stability analysis,chaotic and hyperchaotic bursting behaviors induced by variations in the coupling gain are revealed,together with their dynamical evolution characteristics.Furthermore,to characterize irregular spiking activities during chaotic bursting,a joint framework based on the phase-locking value(PLV)and burst envelope correlation(EnvCorr)is introduced,through which three bursting regimes,namely,in-phase bursting(IPB),phaseshifted bursting(PSB),and desynchronized bursting(DB),are identified.Finally,a digital signal processor(DSP)-based real-time hardware implementation is carried out,and the good qualitative agreement between experimental and numerical results demonstrates the physical feasibility of the proposed model.
基金supported by the National Natural Science Foundation of China(62373317)the Tianshan Talent Training Program(2022TSYCCX0013)+3 种基金the Key Project of Natural Science Foundation of Xinjiang(2021D01D10)the Basic Research Foundation for Universities of Xinjiang(XJEDU2023P023)the Xinjiang Key Laboratory of Applied Mathematics(XJDX1401)the Intelligent Control and Optimization Research Platform in Xinjiang University.
摘要This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks.First,to achieve fixed-time passivity,a type of decentralized power-law controller is developed,in which only one parameter needs to be adjusted in the power-law terms;this greatly decreases the inconvenience of parameter adjustment.Second,several fixed-time passivity criteria with LMI forms are derived by using a Gauss divergence theorem to deal with the spatial diffusion of nodes and by applying the Hölder’s inequality to dispose rigorously the power-law term greater than one in the designed control scheme;this improves the previous theoretical analysis.Additionally,the fixed-time synchronization of spatiotemporal directed networks with multi-weights is addressed as a direct result of fixed-time strict passivity.Finally,a numerical example is presented in order to show the validity of the theoretical analysis.
基金Supported by the National Natural Science Foundation of China(62576008)University Annual Scientific Research Plan of Anhui Province(2022AH030023)。
摘要In this paper,a class of discontinuous Cohen-Grossberg neural networks with timevarying delays is considered.Firstly,under the extended Filippov differential inclusions framework,the problem of periodic solutions of the considered neural networks with more relaxed conditions imposed on the amplification functions is analyzed by using set-valued mapping and Kakutani's fixed point theorem,which has rarely been used to study such problem.Secondly,the fixed-time synchronization of the error system of the considered neural networks is also investigated by designing a novel control strategy,which can improve not only the previous ones with sign function greatly,but also can reduce the chattering phenomenon.Finally,two numerical examples are presented to further illustrate the validity of the obtained results.
摘要This paper addresses the synchronization of follower agents’state vectors with that of a leader in high-order nonlinear multi-agent systems.The proposed low-complexity control scheme employs high-gain observers to estimate higher-order synchronization errors,enabling the controller to rely solely on relative output measurements.This approach significantly reduces the dependence on full-state information,which is often infeasible or costly in practical engineering applications.An output feedback control strategy is developed to overcome these limitations while ensuring robust and effective synchronization.Simulation results are provided to demonstrate the effectiveness of the proposed approach and validate the theoretical findings.
基金Supported by the National Natural Science Foundation of China under Grant Nos.60774039,60974024,and 61074089CityU Research Enhancement Fund 9360127,CityU SRG 7002355
摘要This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique, a newapproach is proposed to derive some new exponential synchronization criteria.The restriction that the control widthhas to be larger than the time delay is removed.This leads to a larger application scope for our method.Moreover, notranscendental equation is involved in the obtained result, which reduces the computational burden.Two examples aregiven to validate the theoretical results.
摘要This paper proposes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays comprising different discrete and distributed time delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaptation law including the master-slave parame- ters are established for designing a delayed synchronization law in terms of linear matrix inequalities(LMIs). The time-varying controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. Particularly, it is shown that the synchronization speed can be controlled by adjusting the updated gain of the synchronization signal. Two numerical examples are given to demonstrate the effectiveness of the method.