Generating 2n-wing attractors from Lorenz-like systems

被引：53

作者：

Yu, Simin ^{[2
]}

Tang, Wallace K. S. ^{[1
]}

Lu, Jinhu ^{[3
]}

Chen, Guanrong ^{[1
]}

机构：

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

[2] Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China

[3] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2010年 / 38卷 / 03期

基金：

中国国家自然科学基金;

关键词：

circuit realization; Lorenz-like system; multi-wing attractor; quadratic function; MULTISCROLL CHAOTIC ATTRACTORS; GENERALIZED CHUAS CIRCUIT; N-SCROLL ATTRACTORS; EXPERIMENTAL-VERIFICATION; BUTTERFLY ATTRACTOR; DESIGN; IMPLEMENTATION; FAMILY; SERIES; MODEL;

D O I：

10.1002/cta.558

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：

In this paper, the existence of 2n-wing chaotic attractors in a family of Lorenz-like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross-product or square term in an original Lorenz-like system with a newly designed multi-segment quadratic function, multi-wing attractor can be generated. The main design idea is to increase the number of index-2 equilibrium points of the system. This approach can not only generate multi-wing attractors in different Lorenz-like systems, but can also allow the flexibility in specifying a precise number of wings to be created. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：243 / 258

页数：16

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