A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

被引：5

作者：

Veeman, Dhinakaran ^{[1
]}

Alanezi, Ahmad ^{[2
]}

Natiq, Hayder ^{[3
]}

Jafari, Sajad ^{[4
,5
]}

Abd El-Latif, Ahmed A. ^{[6
]}

机构：

[1] Chennai Inst Technol, Ctr Addit Mfg, Chennai 600069, Tamil Nadu, India

[2] Liverpool John Moores Univ, Fac Engn & Technol, Comp Sci & Appl Math, Kingsway House,Crosby Rd N, Liverpool L3 2AJ, Merseyside, England

[3] Imam Jaafar Sadiq Univ, Informat Technol Coll, Dept Comp Tech Engn, Baghdad 10001, Iraq

[4] Amirkabir Univ Technol, Tehran Polytech, Dept Biomed Engn, 350 Hafez Ave,Valiasr Sq, Tehran 1591634311, Iran

[5] Amirkabir Univ Technol, Tehran Polytech, Hlth Technol Res Inst, 350 Hafez Ave,Valiasr Sq, Tehran 1591634311, Iran

[6] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm 32511, Egypt

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 02期

关键词：

quadratic oscillator; bifurcation; multistability; impulsive control; chaotic circuit; HARDWARE IMPLEMENTATION; SYSTEM; SYNCHRONIZATION; ATTRACTORS; NONLINEARITY; NETWORKS; DYNAMICS;

D O I：

10.3390/sym14020259

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows various dynamics. The oscillator has eight equilibrium points, and none of them is stable. Various bifurcation diagrams of the oscillator are investigated, and its Lyapunov exponents (LEs) are discussed. The multistability of the oscillator is discussed by plotting bifurcation diagrams with various initiation methods. The basin of attraction of the oscillator is discussed in two planes. Impulsive control is applied to the oscillator to control its chaotic dynamics. Additionally, the circuit is implemented to reveal its feasibility.

引用

页数：14

共 68 条

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