Simplest Megastable Chaotic Oscillator

Sajad Jafari; Karthikeyan Rajagopal; Tasawar Hayat; Ahmed Alsaedi; Viet Thanh Pham

doi:10.1142/S0218127419501876

Simplest Megastable Chaotic Oscillator

Sajad Jafari
, Karthikeyan Rajagopal
, Tasawar Hayat
, Ahmed Alsaedi
, Viet Thanh Pham

Ton Duc Thang University
Defence University, College of Engineering
Mekelle University
Quaid-I-Azam University
King Abdulaziz University

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

46 Scopus citations

Abstract

Recently, chaotic systems with hidden attractors and multistability have been of great interest in the field of chaos and nonlinear dynamics. Two special categories of systems with multistability are systems with extreme multistability and systems with megastability. In this paper, the simplest (yet) megastable chaotic oscillator is designed and introduced. Dynamical properties of this new system are completely investigated through tools like bifurcation diagram, Lyapunov exponents, and basin of attraction. It is shown that between its countable infinite coexisting attractors, only one is self-excited and the rest are hidden.

Original language	English
Article number	1950187
Journal	International Journal of Bifurcation and Chaos
Volume	29
Issue number	13
DOIs	https://doi.org/10.1142/S0218127419501876
State	Published - 15 Dec 2019
Externally published	Yes

Keywords

Chaotic oscillators
hidden attractors
megastability
multistability

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10.1142/S0218127419501876

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title = "Simplest Megastable Chaotic Oscillator",

abstract = "Recently, chaotic systems with hidden attractors and multistability have been of great interest in the field of chaos and nonlinear dynamics. Two special categories of systems with multistability are systems with extreme multistability and systems with megastability. In this paper, the simplest (yet) megastable chaotic oscillator is designed and introduced. Dynamical properties of this new system are completely investigated through tools like bifurcation diagram, Lyapunov exponents, and basin of attraction. It is shown that between its countable infinite coexisting attractors, only one is self-excited and the rest are hidden.",

keywords = "Chaotic oscillators, hidden attractors, megastability, multistability",

author = "Sajad Jafari and Karthikeyan Rajagopal and Tasawar Hayat and Ahmed Alsaedi and Pham, \{Viet Thanh\}",

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AU - Jafari, Sajad

AU - Rajagopal, Karthikeyan

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Pham, Viet Thanh

PY - 2019/12/15

Y1 - 2019/12/15

N2 - Recently, chaotic systems with hidden attractors and multistability have been of great interest in the field of chaos and nonlinear dynamics. Two special categories of systems with multistability are systems with extreme multistability and systems with megastability. In this paper, the simplest (yet) megastable chaotic oscillator is designed and introduced. Dynamical properties of this new system are completely investigated through tools like bifurcation diagram, Lyapunov exponents, and basin of attraction. It is shown that between its countable infinite coexisting attractors, only one is self-excited and the rest are hidden.

AB - Recently, chaotic systems with hidden attractors and multistability have been of great interest in the field of chaos and nonlinear dynamics. Two special categories of systems with multistability are systems with extreme multistability and systems with megastability. In this paper, the simplest (yet) megastable chaotic oscillator is designed and introduced. Dynamical properties of this new system are completely investigated through tools like bifurcation diagram, Lyapunov exponents, and basin of attraction. It is shown that between its countable infinite coexisting attractors, only one is self-excited and the rest are hidden.

KW - Chaotic oscillators

KW - hidden attractors

KW - megastability

KW - multistability

UR - https://www.scopus.com/pages/publications/85076495288

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 13

M1 - 1950187

ER -

Simplest Megastable Chaotic Oscillator

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Keywords

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