A new oscillator with infinite coexisting asymmetric attractors

Zhen Wang; Hamid Reza Abdolmohammadi; Fawaz E. Alsaadi; Tasawar Hayat; Viet Thanh Pham

doi:10.1016/j.chaos.2018.03.031

A new oscillator with infinite coexisting asymmetric attractors

Zhen Wang
, Hamid Reza Abdolmohammadi
, Fawaz E. Alsaadi
, Tasawar Hayat
, Viet Thanh Pham

Xijing University
Golpayegan University of Technology
King Abdulaziz University
Quaid-I-Azam University
Ton Duc Thang University

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.

Original language	English
Pages (from-to)	252-258
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	110
DOIs	https://doi.org/10.1016/j.chaos.2018.03.031
State	Published - May 2018
Externally published	Yes

Keywords

Chaos
Hidden attractors
Multistability
Oscillators

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10.1016/j.chaos.2018.03.031

Cite this

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title = "A new oscillator with infinite coexisting asymmetric attractors",

abstract = "In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.",

keywords = "Chaos, Hidden attractors, Multistability, Oscillators",

author = "Zhen Wang and Abdolmohammadi, \{Hamid Reza\} and Alsaadi, \{Fawaz E.\} and Tasawar Hayat and Pham, \{Viet Thanh\}",

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AU - Abdolmohammadi, Hamid Reza

AU - Alsaadi, Fawaz E.

AU - Hayat, Tasawar

AU - Pham, Viet Thanh

PY - 2018/5

Y1 - 2018/5

N2 - In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.

AB - In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.

KW - Chaos

KW - Hidden attractors

KW - Multistability

KW - Oscillators

UR - https://www.scopus.com/pages/publications/85044927479

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DO - 10.1016/j.chaos.2018.03.031

M3 - Article

AN - SCOPUS:85044927479

SN - 0960-0779

VL - 110

SP - 252

EP - 258

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

A new oscillator with infinite coexisting asymmetric attractors

Abstract

Keywords

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