A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic

被引：5
|
作者：
Xu, Yuhua [1 ,2 ,3 ]
Li, Bing [4 ]
Wang, Yuling [5 ]
Zhou, Wuneng [3 ]
Fang, Jian-an [3 ]
机构：
[1] Yunyang Teachers Coll, Dept Math & Finance, Hubei Shiyan 442000, Peoples R China
[2] Wuhan Univ, Comp Sch, Wuhan 430079, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[4] Minist Sci & Technol China, NOSTA, Beijing 100045, Peoples R China
[5] Tianjin Univ, Sch Management, Tianjin 300072, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
SYSTEM;
D O I：
10.1155/2012/438328
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new four-scroll chaotic attractor is found by feedback controlling method in this paper. The novel chaotic system can generate four scrolls two of which are transient chaotic and the other two of which are ultimate chaotic. Of particular interest is that this novel chaotic system can generate one-scroll, two 2-scroll and four-scroll chaotic attractor with variation of a single parameter. We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and Poincare map, respectively. The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation.
引用
收藏
页数：12
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