Generating chaotic attractors with multiple merged basins of attraction:: A switching piecewise-linear control approach

被引：129

作者：

Lü, JH

Yu, XH

Chen, GR

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

[2] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic, Australia

[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2003年 / 50卷 / 02期

关键词：

basin of attraction; chaos generation; piecewise-linear controller; switching system;

D O I：

10.1109/TCSI.2002.808241

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 presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors With n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying c chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.

引用

页码：198 / 207

页数：10

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