A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design

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. Suc...

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Autores principales: Kapitaniak, Tomasz, Mohammadi, S. Alireza, Mekhilef, Saad, Alsaadi, Fawaz E., Hayat, Tasawar, Pham, Viet-Thanh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513194/
https://www.ncbi.nlm.nih.gov/pubmed/33265759
http://dx.doi.org/10.3390/e20090670
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author Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz E.
Hayat, Tasawar
Pham, Viet-Thanh
author_facet Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz E.
Hayat, Tasawar
Pham, Viet-Thanh
author_sort Kapitaniak, Tomasz
collection PubMed
description 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.
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spelling pubmed-75131942020-11-09 A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design Kapitaniak, Tomasz Mohammadi, S. Alireza Mekhilef, Saad Alsaadi, Fawaz E. Hayat, Tasawar Pham, Viet-Thanh Entropy (Basel) Article 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. MDPI 2018-09-05 /pmc/articles/PMC7513194/ /pubmed/33265759 http://dx.doi.org/10.3390/e20090670 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz E.
Hayat, Tasawar
Pham, Viet-Thanh
A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title_full A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title_fullStr A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title_full_unstemmed A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title_short A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
title_sort new chaotic system with stable equilibrium: entropy analysis, parameter estimation, and circuit design
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513194/
https://www.ncbi.nlm.nih.gov/pubmed/33265759
http://dx.doi.org/10.3390/e20090670
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