Horseshoe in the hyperchaotic MCK circuit

被引：9

作者：

Yang, Fangyan ^{[1
]}

Li, Qingdu ^{[1
]}

Zhou, Ping ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecomm, Inst Nonlinear Syst, Chongqing 400065, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 11期

关键词：

hyperchaos; topological horseshoe; symbolic dynamics; chaotic circuits;

D O I：

10.1142/S0218127407019743

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The well-known Matsumoto-Chua-Kobayashi (MCK) circuit is of significance for studying hyperchaos, since it was the first experimental observation of hyperchaos from a real physical system. In this paper, we discuss the existence of hyperchaos in this circuit by virtue of topological horseshoe theory. The two disjoint compact subsets producing a horseshoe found in a specific 3D cross-section, both expand in two directions under the fourth Poincare return map, this fact means that there exists hyperchaos in the circuit.

引用

页码：4205 / 4211

页数：7

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