A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria

被引：63

作者：

Nazarimehr, Fahimeh ^{[1
]}

Rajagopal, Karthikeyan ^{[2
]}

Kengne, Jacques ^{[3
]}

Jafari, Sajad ^{[1
]}

Viet-Thanh Pham ^{[4
]}

机构：

[1] Amirkabir Univ Technol, Biomed Engn Dept, Tehran 158754413, Iran

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

[3] Univ Dschang, Dept Elect Engn, IUT FV Bandjoun, LAIA, Dschang, Cameroon

[4] Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City, Vietnam

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 111卷

关键词：

Chaos; Hyper-chaos; Equilibrium; Multi-character; HIDDEN ATTRACTOR; MULTISTABILITY; FLOWS; IMPLEMENTATION; COEXISTENCE; DYNAMICS; RARE;

D O I：

10.1016/j.chaos.2018.04.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new multi-character dynamical system is proposed. It has chaotic and hyper-chaotic attractors without any equilibrium, with a line of equilibria or with unstable equilibrium. It means that the proposed system can change its characteristic by varying its parameters. This system shows multistability between different attractors such as quasi-periodic and chaotic attractors, quasi-periodic and periodic attractors, two periodic attractors and also two chaotic attractors. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：108 / 118

页数：11

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