Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system

被引：62
|
作者：
Deng, Weihua [1 ]
Lu, Jinhu
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[4] Wuhan Univ, State Key Lab Software Engn, Wuhan 430072, Peoples R China
来源：
PHYSICS LETTERS A | 2007年 / 369卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.physleta.2007.04.112
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter initiates a hysteresis series switching approach for generating multi-directional multi-scroll chaotic attractors from a three-dimensional linear autonomous fractional differential system, including 1-D n-scroll, 2-D (n x m)-grid scroll, and 3-D (n x m x l)-grid scroll chaotic attractors. The underlying dynamical mechanisms of a fractional differential hysteresis system are then further investigated. (C) 2007 Published by Elsevier B.V..
引用
收藏
页码：438 / 443
页数：6
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