Generation and circuit implementation of fractional-order multi-scroll attractors

被引：40

作者：

Chen, Liping ^{[1
]}

Pan, Wei ^{[1
]}

Wu, Ranchao ^{[2
]}

Wang, Kunpeng ^{[3
,4
]}

He, Yigang ^{[1
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

[3] Southwest Univ Sci & Technol, Sch Informat & Engn, Mianyang 621010, Peoples R China

[4] Robot Technol Used Special Environm Key Lab Sichu, Mianyang 621010, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2016年 / 85卷

关键词：

Fractional order; Multi-scroll; Circuit implementation; Chaos; CHAOTIC ATTRACTORS; SYSTEM;

D O I：

10.1016/j.chaos.2016.01.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers the generating of multi-scroll chaotic attractors for a new fractional-order linear system by using the piecewise-linear function. Multi-scroll chaotic attractors are generated by extending the number of saddle equilibrium points with index 2. Poincare map and maximum Lyapunov exponents are applied to verifying the chaotic behaviors of the generated multi-scroll chaotic attractors. A circuit for the multi-scroll attractor is designed and simulated. Moreover, physical experiment of 3-scroll attractors and 5-scroll attractors are implemented. The numerical simulation, the circuit simulation and hardware experimental results are in accordance with each other, which verifies the effectiveness and physical realization of the approach. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：22 / 31

页数：10

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