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Chinese Physics B 2024年第5期33卷 722-735页

作者： Charles Omotomide Apata 唐浥瑞周祎凡蒋龙裴启明 School of Physics and Optoelectronic Engineering Yangtze UniversityJingzhou 434023China

The FitzHugh–Nagumo neuron circuit integrates a piezoelectric ceramic to form a piezoelectric sensing neuron,which can capture external sound signals and simulate the auditory neuron *** piezoelectric sensing neurons are coupled by a parallel circuit consisting of a Josephson junction and a linear resistor,and a binaural auditory system is *** the non-singleness of external sound sources,the high–low frequency signal is used as the input signal to study the firing mode transition and synchronization of this *** is found that the angular frequency of the high–low frequency signal is a key factor in determining whether the dynamic behaviors of two coupled neurons are *** they are in synchronization at a specific angular frequency,the changes in physical parameters of the input signal and the coupling strength between them will not destroy their *** addition,the firing mode of two coupled auditory neurons in synchronization is affected by the characteristic parameters of the high–low frequency signal rather than the coupling *** asynchronous dynamic behavior and variations in firing modes will harm the auditory *** findings could help determine the causes of hearing loss and devise functional assistive devices for patients.

关键词： piezoelectric ceramic Josephson junction auditory neuron synchronization

Dynamics and synchronization in a memristor-coupled discrete heterogeneous neuron network considering noise

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Chinese Physics B 2024年第2期33卷 537-544页

作者：晏询李志军李春来 School of Automation and Electronic Information Xiangtan UniversityXiangtan 411105China School of Computer Science&School of Cyberspace Science Xiangtan UniversityXiangtan 411105China

Research on discrete memristor-based neural networks has received much ***,current research mainly focuses on memristor–based discrete homogeneous neuron networks,while memristor-coupled discrete heterogeneous neuron networks are rarely *** this study,a new four-stable discrete locally active memristor is proposed and its nonvolatile and locally active properties are verified by its power-off plot and DC V–I *** on two-dimensional(2D)discrete Izhikevich neuron and 2D discrete Chialvo neuron,a heterogeneous discrete neuron network is constructed by using the proposed discrete memristor as a coupling synapse connecting the two heterogeneous *** the coupling strength as the control parameter,chaotic firing,periodic firing,and hyperchaotic firing patterns are *** particular,multiple coexisting firing patterns are observed,which are induced by different initial values of the *** synchronization between the two heterogeneous neurons is discussed and it is found that they can achieve perfect synchronous at large coupling ***,the effect of Gaussian white noise on synchronization behaviors is also *** demonstrate that the presence of noise not only leads to the transition of firing patterns,but also achieves the phase synchronization between two heterogeneous neurons under low coupling strength.

关键词： heterogeneous neuron network discrete memristor coexisting attractors synchronization noise

Dynamics and synchronization of neural models with memristive membranes under energy coupling

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Chinese Physics B 2024年第5期33卷 316-322页

作者：万婧玥吴富强马军汪文帅 School of Mathematics and Statistics Ningxia UniversityYinchuan 750021China Ningxia Basic Science Research Center of Mathematics Ningxia UniversityYinchuan 750021China Department of Physics Lanzhou University of TechnologyLanzhou 730050China

Dynamical modeling of neural systems plays an important role in explaining and predicting some features of biophysical *** electrophysiological environment inside and outside of the nerve cell is *** to the continuous and periodical properties of electromagnetic fields in the cell during its operation,electronic components involving two capacitors and a memristor are effective in mimicking these physical *** this paper,a neural circuit is reconstructed by two capacitors connected by a memristor with periodical *** is found that the memristive neural circuit can present abundant firing patterns without *** Hamilton energy function is deduced using the Helmholtz ***,a neuronal network consisting of memristive neurons is proposed by introducing energy *** controllability and flexibility of parameters give the model the ability to describe the dynamics and synchronization behavior of the system.

关键词： memristor neuronal model energy synchronization

synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

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Chinese Physics B 2010年第9期19卷 233-238页

作者：周平程元明邝菲 Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education Chongqing University of Posts and Telecommunications Institute of Applied Physics Chongqing University of Posts and Telecommunications

Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.

关键词： fractional-order chaotic systems chaotic systems of integer orders different fractionalorder chaotic systems synchronization

synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller

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Chinese Physics B 2012年第12期21卷 135-140页

作者：陈帝伊张润凡马孝义王娟 Department of Electrical Engineering College of Water Resources and Architectural EngineeringNorthwest Agriculture&Forestry University

In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integer- order chaotic system, in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method. Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus. Moreover, three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results. Finally, results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems.

关键词： synchronization fractional-order system integer-order chaotic system sliding mode

synchronization and wave propagation in neuronal network under field coupling

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Science China(Technological Sciences) 2019年第3期62卷 448-457页

作者： LV Mi MA Jun YAO YuanGen ALZAHRANI Faris Department of Physics Lanzhou University of Technology College of Electrical and Information Engineering Lanzhou University of Technology Department of Physics College of Science Huazhong Agricultural University NAAM-Research Group Department of Mathematics King Abdulaziz University

Electric and chemical synapse play important role in connecting neurons and thus signal propagation can be realized between neurons. External electric stimulus can change the excitability of neuron and then the electrical activities can be modulated completely. Continuous fluctuation of ion concentration in cell can induce complex time-varying electromagnetic field during the exchange of charged ions across the membrane of neuron. Polarization and magnetization in the media(and neuron), which exposed to electromagnetic radiation, can modulate the dynamical response and mode transition in electrical activities of neurons. In this paper, magnetic flux is used to describe the effect of electromagnetic field, and the three-variable HindmarshRose neuron model is updated to propose a four-variable neuron model that the effect of electromagnetic induction and radiation can be explained. Based on the physical law of electromagnetic induction, exchange of charged ions and flow of ion currents will change the distribution of electromagnetic filed in cell, and each neuron will be exposed to the superimposed field triggered by other neurons. Therefore, signal exchange could occur even synapse coupling between neurons is removed in the case of field coupling. A chain network is proposed to investigate the signal exchange between neurons under field coupling when synapse coupling is not available. It is found that field coupling between neurons can change the collective behaviors in electrical activities. A statistical factor of synchronization and spatial patterns are calculated, these results confirmed that field coupling is effective for signal communication between neurons. In the end, open problems are suggested for readers' extensive guidance in this field.

关键词： neuron memristor magnetic flux synchronization pattern formation

synchronization and Stability of a Nonlinear Vibrating Mechanical System Characterized by Asymmetrical Piecewise Linearity

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Chinese Journal of Mechanical Engineering 2022年第6期35卷 298-311页

作者： Xueliang Zhang Zhenmin Li Wenchao Hu Bangchun Wen School of Mechanical Engineering and Automation Northeastern UniversityShenyang 110819China Key Laboratory of Vibration and Control of Aero‑Propulsion Systems Ministry of Education of China Northeastern UniversityShenyang 110819China

In previous studies about the synchronization of vibrators,the restoring forces of springs are mainly treated as linear directly,whereas the nonlinear features are rarely considered in vibrating *** make up this drawback,a dynamical model of a nonlinear vibrating mechanical system with double rigid frames(RFs),driven by two vibrators,is proposed to explore the synchronization and stability of the *** this paper,the nonlinearity is reflected in nonlinear restoring forces of springs characterized by asymmetrical piecewise linear,where the nonlinear stiffness of springs is linearized equivalently using the asymptotic *** on the average method and Hamilton’s principle,the theory conditions to achieve synchronization and stability of two vibrators are *** the theory analyses,some numerical qualitative analyses are given to reveal the coupling dynamical characteristics of the system and the relative motion properties between two ***,some experiments are carried out to examine the validity of the theoretical results and the correctness of the numerical analyses *** on the comparisons of the theory,numeric and experiment,the ideal working regions of the system are *** on the present work,some new types of vibrating equipment,such as vibrating discharging centrifugal dehydrators/conveyers/screens,can be designed.

关键词： synchronization Stability Nonlinear vibrating system Vibrators Asymmetrical piecewise linearity

synchronization of coupled chaotic Hindmarsh Rose neurons:An adaptive approach

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Chinese Physics B 2015年第10期24卷 93-100页

作者：魏伟 School of Computer and Information Engineering Beijing Technology and Business University

In this paper, we consider the synchronization of chaotic Hindmarsh Rose（HR） neurons via a scalar control *** HR neurons coupled with a gap junction are taken into consideration, and an active compensation mechanism-based adaptive control is employed to realize the synchronization of two HR neurons. As such an adaptive control is utilized,an accurate model of the system is of no necessity. Asymptotical synchronization of two HR neurons is guaranteed by theoretical results. Numerical results are also provided to confirm the proposed synchronization approach.

关键词： synchronization Hindmarsh Rose neuron chaos adaptive control

synchronization performance in time-delayed random networks induced by diversity in system parameter

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Chinese Physics B 2018年第10期27卷 652-659页

作者： Yu Qian Hongyan Gao Chenggui Yao Xiaohua Cui Jun Ma Nonlinear Research Institute Baoji University of Arts and Sciences Baoji 721007 China Department of Mathematics Shaoxing University Shaoxing 312000 China School of Systems Science Beijing Normal University Beijing 100875 China Department of Physics Lanzhou University of Technology Lanzhou 730050 China King Abdulaziz University Faculty of Science Department of Mathematics NAAM Research Group Jeddah 21589 Saudi Arabia

synchronization rhythm and oscillating in biological systems can give clues to understanding the cooperation and competition between cells under appropriate biological and physical conditions. As a result, the network setting is appreciated to detect the stability and transition of collective behaviors in a network with different connection types. In this paper, the synchronization performance in time-delayed excitable homogeneous random networks（EHRNs） induced by diversity in system parameters is investigated by calculating the synchronization parameter and plotting the spatiotemporal evolution pattern, and distinct impacts induced by parameter-diversity are detected by setting different time delays. It is found that diversity has no distinct effect on the synchronization performance in EHRNs with small time delay being considered. When time delay is increased greatly, the synchronization performance of EHRN degenerates remarkably as diversity is increased. Surprisingly, by setting a moderate time delay, appropriate parameter-diversity can promote the synchronization performance in EHRNs, and can induce the synchronization transition from the asynchronous state to the weak synchronization. Moreover, the bistability phenomenon, which contains the states of asynchronous state and weak synchronization,is observed. Particularly, it is confirmed that the parameter-diversity promoted synchronization performance in time-delayed EHRN is manifested in the enhancement of the synchronization performance of individual oscillation and the increase of the number of synchronization transitions from the asynchronous state to the weak synchronization. Finally, we have revealed that this kind of parameter-diversity promoted synchronization performance is a robust phenomenon.

关键词： synchronization time delay excitable homogeneous random network diversity

synchronization of impulsively coupled complex networks

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Chinese Physics B 2012年第5期21卷 126-132页

作者：孙文陈忠陈士华 School of Information and Mathematics Yangtze University School of Mathematics and Statistics Wuhan University

We investigate the synchronization of complex networks,which are impulsively coupled only at discrete *** on the comparison theory of impulsive differential systems,a distributed impulsive control scheme is proposed for complex dynamical networks to achieve *** proposed scheme not only takes into account the influence of all nodes to network synchronization,which depends on the weight of each node in the network,but also provides us with a flexible method to select the synchronized state of the *** addition,it is unnecessary for the impulsive coupling matrix to be ***,the proposed control scheme is applied to a chaotic Lorenz network and Chua＇s circuit *** simulations are used to illustrate the validity of this control scheme.

关键词： complex network impulsive control scheme synchronization