A Simple Chaotic System With Topologically Different Attractors

被引：15

作者：

Rajagopal, Karthikeyan ^{[1
]}

Akgul, Akif ^{[2
]}

Moroz, Irene M. ^{[3
]}

Wei, Zhouchao ^{[4
]}

Jafari, Sajad ^{[5
]}

Hussain, Iqtadar ^{[6
]}

机构：

[1] Def Univ, Ctr Nonlinear Dynam, Bishoftu, Ethiopia

[2] Sakarya Univ Appl Sci, Dept Elect & Elect Engn, TR-54050 Sakarya, Turkey

[3] Univ Oxford, Math Inst, Oxford OX2 6GG, England

[4] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

[5] Ton Duc Thang Univ, Fac Elect & Elect Engn, Nonlinear Syst & Applicat, Ho Chi Minh 758307, Vietnam

[6] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

来源：

IEEE ACCESS | 2019年 / 7卷

关键词：

Chaotic systems; self-excited attractor; hidden attractor; multistability; nonlinear feedback control; HIDDEN ATTRACTOR; EXTREME MULTISTABILITY; DEPENDENT DYNAMICS; JERK SYSTEM; EQUILIBRIUM; CIRCUIT;

D O I：

10.1109/ACCESS.2019.2922164

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

There have been many different investigations of nonlinear dynamical systems. In this paper, we introduce a new chaotic system. In the proposed system, the attractor can be modified by adding a nonlinear term to the third state equation, thereby generating six different self-excited chaotic attractors. Some dynamical properties such as Hopf bifurcation, bifurcation diagrams, and multistability of the proposed system are investigated. The new system shows topologically different attractors for all six cases. We investigate two cases in depth. We also use nonlinear feedback control to drive the system to equilibrium, using two cases for illustration.

引用

页码：89936 / 89947

页数：12

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