A 4-DIMENSIONAL PLUS HYSTERESIS CHAOS GENERATOR

被引：26

作者：

MITSUBORI, K

SAITO, T

机构：

[1] Department of Electrical and Electronical Engineering, HOSEI University, Koganei-shi, Tokyo

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1994年 / 41卷 / 12期

关键词：

D O I：

10.1109/81.340840

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 discusses a four-dimensional plus hysteresis autonomous chaotic circuit. The circuit dynamics is described by two symmetric four-dimensional linear equations connected to each other by hysteresis switchings. We transform the equation into Jordan form and derive theoretical formulas of its three-dimensional return map, its Jacobian matrix and its Jacobian. These formulas can be developed easily to general dimensional cases and are used to evaluate Lyapunov exponents. Then we have discovered torus doubling route to chaos and then to hyperchaos. Some of the return map attractors are confirmed by laboratory experiments. A rough two parameters bifurcation diagram is also given.

引用

页码：782 / 789

页数：8

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