A new megastable nonlinear oscillator with infinite attractors

被引：41

作者：

Leutcho, Gervais Dolvis ^{[1
]}

Jafari, Sajad ^{[2
]}

Hamarash, Ibrahim Ismael ^{[3
,7
]}

Kengne, Jacques ^{[4
]}

Njitacke, Zeric Tabekoueng ^{[5
]}

Hussain, Iqtadar ^{[6
]}

机构：

[1] Univ Dschang, Fac Sci, Lab Condensed Matter Elect & Signal Proc UR MACET, Dept Phys,Res Unit, POB 67, Dschang, Cameroon

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

[3] Univ Kurdistan Hewler, Dept Comp Sci & Engn, Hewler, Iraq

[4] Univ Dschang, Elect Engn Dept IUT FV, Lab Automat & Appl Comp LAIA, Res Unit, POB 134, Bandjoun, Cameroon

[5] Univ Buea, COT, Dept Elect & Elect Engn, POB 63, Buea, Cameroon

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

[7] Salahaddin Univ Erbil, Dept Elect Engn, Kurdistan, Iraq

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 134卷

关键词：

Forced oscillator; Megastability; Self-excited attractors; Coexisting attractors; COEXISTING MULTIPLE ATTRACTORS; PERIODICALLY-FORCED OSCILLATOR; SMOOTHLY ADJUSTABLE SYMMETRY; CIRCUIT REALIZATION; DYNAMICAL ANALYSIS; HIDDEN ATTRACTOR; CHAOTIC SYSTEM; JERK SYSTEM; BIFURCATION-ANALYSIS; ANTIMONOTONICITY;

D O I：

10.1016/j.chaos.2020.109703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dynamical systems with megastable properties are very rare in the literature. In this paper, we introduce a new two-dimensional megastable dynamical system with a line of equilibria, having an infinite number of stable states. By modifying this new system with temporally-periodic forcing term, a new two-dimensional non-autonomous nonlinear oscillator capable to generate an infinite number of coexisting limit cycle attractors, torus attractors and, strange attractors is constructed. The analog implementation of the new megastable oscillator is investigated to further support numerical analyses and henceforth validate the mathematical model. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

共 60 条

[1] A new three-dimensional chaotic system without equilibrium points, its dynamical analyses and electronic circuit application; [Novi trodimenzijski kaotični sustav bez točaka ekvilibrija, njegove dinamičke analize i primjena elektroničkih krugova] [J].