Constructing and analyzing of a unique three-dimensional chaotic autonomous system exhibiting three families of hidden attractors

被引：21

作者：

Kingni, Sifeu Takougang ^{[1
,4
,5
,6
]}

Jafari, Sajad ^{[2
]}

Viet-Thanh Pham ^{[3
]}

Woafo, Paul ^{[4
,5
,6
]}

机构：

[1] Univ Maroua, Inst Mines & Petr Ind, Dept Mech & Elect Engn, POB 46, Maroua, Cameroon

[2] Amirkabir Univ Technol, Dept Biomed Engn, 424 Hafez Ave, Tehran 158754413, Iran

[3] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam

[4] Univ Yaounde I, Dept Phys, Fac Sci, Lab Modelling & Simulat Engn Biomimet & Prototype, POB 812, Yaounde, Cameroon

[5] Univ Yaounde I, Dept Phys, Fac Sci, TWAS Res Unit, POB 812, Yaounde, Cameroon

[6] Vrije Univ Brussel, Appl Phys Res Grp APHY, Pleinlaan 2, B-1050 Brussels, Belgium

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 132卷

关键词：

Chaos; Three-dimensional autonomous chaotic system; System with line equilibria; System without equilibria; Stable equilibrium; HYPERCHAOTIC SYSTEM; EQUILIBRIUM; OSCILLATIONS; FLOWS;

D O I：

10.1016/j.matcom.2016.06.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A three-dimensional chaotic autonomous system is proposed in this paper. This system has a unique property: it can belong to three different families of chaotic systems with hidden attractors: (a) systems with a line of equilibria, (b) systems with only stable equilibria, and (c) systems with no equilibria. Dynamics of this system are investigated through eigenvalue structures, phase portraits, basin of attraction, bifurcation diagram and Lyapunov exponents. The physical existence of the chaotic behavior found in the proposed system is verified by using OrCAD- PSpice software. A good qualitative agreement is shown between the simulations and the PSpice results. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：172 / 182

页数：11

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