A new chaotic system with stable equilibrium: Entropy analysis, parameter estimation, and circuit design

Tomasz Kapitaniak; S. Alireza Mohammadi; Saad Mekhilef; Fawaz E. Alsaadi; Tasawar Hayat; Viet Thanh Pham

doi:10.3390/e20090670

A new chaotic system with stable equilibrium: Entropy analysis, parameter estimation, and circuit design

Tomasz Kapitaniak
, S. Alireza Mohammadi
, Saad Mekhilef
, Fawaz E. Alsaadi
, Tasawar Hayat
, Viet Thanh Pham

Lodz University of Technology
University of Malaya
King Abdulaziz University
Quaid-I-Azam University
Ton Duc Thang University

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

34 Scopus citations

Abstract

In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

Original language	English
Article number	670
Journal	Entropy
Volume	20
Issue number	9
DOIs	https://doi.org/10.3390/e20090670
State	Published - 5 Sep 2018
Externally published	Yes

Keywords

Chaotic flow
Entropy
Hidden attractor
Multistable

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10.3390/e20090670

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abstract = "In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.",

keywords = "Chaotic flow, Entropy, Hidden attractor, Multistable",

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AU - Kapitaniak, Tomasz

AU - Mohammadi, S. Alireza

AU - Mekhilef, Saad

AU - Alsaadi, Fawaz E.

AU - Hayat, Tasawar

AU - Pham, Viet Thanh

PY - 2018/9/5

Y1 - 2018/9/5

N2 - In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

AB - In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

KW - Chaotic flow

KW - Entropy

KW - Hidden attractor

KW - Multistable

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A new chaotic system with stable equilibrium: Entropy analysis, parameter estimation, and circuit design

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Keywords

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