A simple hyperchaos generator based on impulsive switching

被引：46

作者：

Takahashi, Y ^{[1
]}

Nakano, H ^{[1
]}

Saito, T ^{[1
]}

机构：

[1] Hosei Univ, Dept Elect Elect & Comp Engn, Tokyo, Japan

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2004年 / 51卷 / 09期

关键词：

hyperchaos; pulse-coupled neural networks (PCNNs); relaxation oscillators; switched capacitors;

D O I：

10.1109/TCSII.2004.832778

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper studies a simple hyperchaos generator. The circuit consists of three capacitors, three voltage-controlled current sources, and one state-dependent impulsive switch. The circuit dynamics are described by a normal form equation and a two-dimensional noninvertible return map is derived. The return map is calculated precisely using the exact piecewise solution and hyperchaos generation is guaranteed by two positive Lyapunov exponents of the return map. Using a simple test circuit, a typical hyperchaotic attractor can be verified in the laboratory.

引用

页码：468 / 472

页数：5

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