Horseshoes in a new switching circuit via wien-bridge oscillator

被引：10

作者：

Yang, XS ^{[1
]}

Li, QD

机构：

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

[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 07期

关键词：

horseshoe; Poincare map; chaos generator; switching circuit;

D O I：

10.1142/S0218127405011631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we revisit a switching circuit designed by the authors and present a theoretical analysis on the existence of chaos in this circuit. For the ordinary differential equations describing this circuit, we give a computer-aided proof in terms of cross-section and Poincare map, by applying a modern theory of topological horseshoes theory to the obtained Poincare map, that this map is semiconjugate to the two-shift map. This implies that the corresponding differential equations exhibit chaos.

引用

页码：2271 / 2275

页数：5

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