Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics

被引：17

作者：

Chen, Qingfei

Hong, Yiguang ^{[1
]}

Chen, Guanrong

机构：

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

[2] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China

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

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 371卷 / 02期

基金：

中国国家自然科学基金;

关键词：

chaotic torus or sphere; non-smooth structure; Fourier series;

D O I：

10.1016/j.physa.2006.03.047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper reports a class of chaotic attractors with toroidal or spherical patterns. These attractors look like spheres or tori, but they are not exactly on the two-dimensional toroidal/spherical surfaces. Discontinuous structures are taken in the considered system to produce easily various chaotic tori/spheres with different input functions. Moreover, controlling the shape of these chaotic attractors can be realized by adjusting some parameters with the help of Fourier series. The underlying chaos-generation mechanism is also explored briefly. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：293 / 302

页数：10

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