DESIGN OF N-DIMENSIONAL MULTI-SCROLL JERK CHAOTIC SYSTEM AND ITS PERFORMANCES

被引：14

作者：

He, Shaobo ^{[1
]}

Sun, Kehui ^{[1
,2
]}

Wang, Huihai ^{[1
]}

Ai, Xingxing ^{[1
]}

Xu, Yixin ^{[1
]}

机构：

[1] Cent S Univ, Sch Phys & Elect, Changsha 410083, Peoples R China

[2] Xinjiang Univ, Sch Phys Sci & Technol, Urumqi 830046, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Chaos; Jerk chaotic system; multi-scroll chaotic attractor; nonlinear control; CIRCUIT IMPLEMENTATION; ATTRACTORS; GENERATION; COMPLEXITY;

D O I：

10.11948/2016078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on three-order Jerk and high-order Jerk chaotic systems, a general approach is proposed to generate n-dimensional multi-scroll Jerk chaotic attractors via nonlinear control. Dynamics of the n-dimensional multi scroll Jerk chaotic systems are analyzed by means of the largest Lyapunov exponent and multi-scale permutation entropy complexity. As an experimental verification, four-dimensional Jerk chaotic attractors are implemented by analog circuits. Results of the numerical simulation are consistent with that of the hardware experiments. It shows that the method of obtaining complex Jerk chaotic attractors is effective.

引用

页码：1180 / 1194

页数：15

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