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adaptive coupling-enhanced spiking synchronization in Newman-Watts neuronal networks with time delays

Science China Chemistry 2013年第5期56卷 648-655页

作者： WANG Li GONG YuBing XU Bo WU YaNan School of Physics and Optoelectronic Engineering Ludong University

In this paper, we study how adaptive coupling with time-periodic growth speed (TPGS) affects the spiking synchronization of weighted adaptive Newman-Watts Hodgkin-Huxley neuron networks with time delays. It is found that the neuronal spiking intermittently exhibits synchronization transitions between desynchronization and in-phase synchronization or anti-phase synchronization as TPGS amplitude or frequency is varied, showing multiple synchronization transitions. These transitions depend on the values of time delay and can occur only when time delay is close to those values that can induce synchronization transitions when the growth speed is fixed. These results show that the adaptive coupling with TPGS has great influence on the spiking synchronization of the neuronal networks and thus plays a crucial role in the information processing and transmission in neural systems.

关键词： Newman-Watts neuronal network adaptive coupling time-periodic growth speed time delay synchronization transition

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Delay-induced firing behavior and transitions in adaptive neuronal networks with two types of synapses

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Science China Chemistry 2013年第2期56卷 222-229页

作者： XU Bo GONG YuBing WANG BaoYing School of Physics and Optoelectronic Engineering Ludong University Library Ludong University

In this paper, we study delay-induced firing behavior and transitions in adaptive Newman-Watts networks of thermosensitive neurons with electrical or chemical synapses. It is found that electrical and chemical synapse time delay-induced firing behavior and transitions differ significantly. In the case of electrical synapses, the bursts for a fixed delay involve equal number of spikes in each burst, and for certain time delays the firing can be inhibited. However, in the case of chemical synapses the bursts for a fixed delay involve different numbers of spikes in each burst, and no firing inhibition is observed. It is also shown that larger growth rates of adaptive coupling strength or larger network randomness can enhance the synchronization of bursting in the case of electrical synapses but reduce it in the case of chemical synapses. These results show that electrical and chemical synapses have different effects on delay-induced firing behavior and dynamical evolution. Compared to electrical synapses, chemical synapses might be more beneficial to the generation of firing and abundant firing transitions in adaptive and delayed neuronal networks. These findings can help to better understand different firing behaviors in neuronal networks with electrical and chemical synapses.

关键词： neuron electrical synapse chemical synapse Newman–Watts network adaptive coupling time delay firing transition

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Synchronization for two delayed bi-directionally coupled networks with noise perturbation via adaptive couplings

Synchronization for two delayed bi-directionally coupled net...

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第24届中国控制与决策会议

作者： SUN Mei 1 , CAO Long, CHEN Ying 1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China

Noise perturbation and time delay are ubiquitous in both natural and man-made systems, and must be taken into consideration in the design of synchronization. For solving the synchronization problem between two delayed bi-directionally coupled networks with noise perturbation, a synchronization criteria based on adaptive coupling was firstly presented in this paper. Based on LaSalle-type invariance principle for stochastic differential delay equations, the adaptive update laws of the coupling strengths are obtained to realize the synchronization. And the configuration matrices of the networks are not required to be symmetric and irreducible. Numerical simulations are given to show the correctness and effectiveness of theoretical results.

关键词： Network Bi-directionally coupling Noise Perturbation adaptive coupling

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Generalized Lag Synchronization of Multiple Weighted Complex Networks with Fixed and adaptive couplings

Generalized Lag Synchronization of Multiple Weighted Complex...

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第37届中国控制会议

作者： Qing Wang Jin-Liang Wang Shun-Yan Ren School of Computer Science and Software Engineering Tianjin Polytechnic University School of Mechanical Engineering Tianjin Polytechnic University

The generalized lag synchronization for multi-weighted complex dynamical network with fixed and adaptive couplings is investigated in this paper, respectively. By designing appropriate controller, a synchronization criterion is presented for complex dynamical network with multi-weights based on the selected Lyapunov functional and inequality techniques. Moreover,an adaptive scheme to update the coupling weights is also developed for ensuring the generalized lag synchronization of multiweighted complex dynamical network. Finally, two examples are given to validate effectiveness of the proposed generalized lag synchronization criteria.

关键词： Generalized lag synchronization complex networks multi-weights adaptive coupling

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A Dynamic Event-Triggered Approach to Multi-Agent Consensus

A Dynamic Event-Triggered Approach to Multi-Agent Consensus

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第三十九届中国控制会议

作者： Xianwei Li Yang Tang Shaoyuan Li Department of Automation Shanghai Jiao Tong University Key Laboratory of System Control and Information Processing Ministry of Education of China Key Laboratory of Advanced Control and Optimization for Chemical Processes East China University of Science and Technology

This paper focuses on designing dynamic event-triggered（DET） protocols for consensus control of general linear multi-agent systems（MASs）. Design algorithms are constructed for DET protocols with static and adaptive coupling, respectively. The designed event-triggering conditions involve internal dynamic variables that depend on the error information of the system, which provide more flexibility to reduce the number of triggered events than the existing results on linear MASs. The protocol with adaptive coupling is of the fully distributed nature. It is proved that the proposed protocols can ensure consensus and are not Zeno. A numerical example is provided to illustrate the effectiveness and advantages of the designed protocols.

关键词： Multi-agent systems Consensus Dynamic event-triggered(DET) protocol adaptive coupling

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