RICH OSCILLATION PATTERNS IN A SIMPLE DISCRETE-TIME DELAYED NEURON NETWORK AND ITS LINEAR CONTROL

被引：5

作者：

Wang, Guanghui ^{[2
]}

Peng, Mingshu ^{[1
]}

机构：

[1] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Chinese Acad Meteorol Sci, State Key Lab Severe Weather LaSW, Beijing 100081, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 09期

关键词：

Multistability; higher-codimension bifurcations; neural network model; symmetry; delay; linear control; SYMMETRY-BREAKING; EULER METHOD; BIFURCATION; STABILITY; CHAOS;

D O I：

10.1142/S0218127409024608

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a well-known multistability phenomenon is discovered and observed in two-parameter families of nonlinear discrete-time neuron networks. A specific strategy of controlling multistability ( multiple oscillation patterns) to unimode oscillation pattern ( synchronization) by linear asymmetric diffusion coupling is proposed and the numerical simulation provides solid evidence for its effectiveness.

引用

页码：2993 / 3004

页数：12

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