Synchronization conditions in networks of Hindmarsh-Rose systems

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2021-12-31 DOI:10.35470/2226-4116-2021-10-4-254-259

S. Plotnikov

引用次数: 1

Abstract

The algebraic connectivity is crucial parameter in studying of synchronization of diffusively coupled networks. This paper studies the synchronization in networks of Hindmarsh-Rose systems, which is one of the most used neuron models. It presents sufficient condition for synchronization in these networks using the Lyapunov function method. This is a simple condition which depends on the algebraic connectivity and on the parameters of the individual system. Numerical examples are presented to illustrate the obtained results.

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Hindmarsh-Rose系统网络的同步条件

代数连通性是研究扩散耦合网络同步的关键参数。本文研究了最常用的神经元模型之一Hindmarsh-Rose系统的网络同步问题。利用李雅普诺夫函数方法给出了这些网络同步的充分条件。这是一个简单的条件，它取决于代数连通性和单个系统的参数。数值算例说明了所得结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cybernetics and Physics Chemical Engineering-Fluid Flow and Transfer Processes

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.