Generating one-,two-,three-and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system

被引：4

作者：

Sara Dadras ^{[1
]}

Hamid Reza Momeni ^{[1
]}

机构：

[1] Automation and Instruments Lab,Electrical Engineering Department,Tarbiat Modares University,P.O.Box 14115-143,Tehran,Iran

来源：

Chinese Physics B | 2010年 / 19卷 / 06期

关键词：

new smooth autonomous four-dimensional chaotic system; multi-scroll chaotic attractor; Poincar’e mapping; bifurcation; Lyapunov exponent;

D O I：

暂无

中图分类号：

O415.5 [混沌理论];

学科分类号：

070201 ;

摘要：

A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper,which can exhibit periodic orbit and chaos under the conditions on the system parameters.Importantly,the system can generate one-,two-,three-and four-scroll chaotic attractors with appropriate choices of parameters.Interestingly,all the attractors are generated only by changing a single parameter.The dynamic analysis approach in the paper involves time series,phase portraits,Poincar’e maps,a bifurcation diagram,and Lyapunov exponents,to investigate some basic dynamical behaviours of the proposed four-dimensional system.

引用

页码：110 / 118

页数：9