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

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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Main Authors: Kapitaniak, Tomasz, Mohammadi, S. Alireza, Mekhilef, Saad, Alsaadi, Fawaz, Hayat, Tasawar, Pham, Viet-Thanh
Format: Article
Published: MDPI 2018
Subjects:
TK Electrical engineering. Electronics Nuclear engineering
Online Access:http://eprints.um.edu.my/21695/
https://doi.org/10.3390/e20090670
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Institution: Universiti Malaya
id my.um.eprints.21695
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spelling my.um.eprints.216952019-07-22T06:48:56Z http://eprints.um.edu.my/21695/ A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design Kapitaniak, Tomasz Mohammadi, S. Alireza Mekhilef, Saad Alsaadi, Fawaz Hayat, Tasawar Pham, Viet-Thanh TK Electrical engineering. Electronics Nuclear engineering 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 Article PeerReviewed Kapitaniak, Tomasz and Mohammadi, S. Alireza and Mekhilef, Saad and Alsaadi, Fawaz and Hayat, Tasawar and Pham, Viet-Thanh (2018) A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design. Entropy, 20 (9). p. 670. ISSN 1099-4300 https://doi.org/10.3390/e20090670 doi:10.3390/e20090670
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic TK Electrical engineering. Electronics Nuclear engineering
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz
Hayat, Tasawar
Pham, Viet-Thanh
A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design
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.
format Article
author Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz
Hayat, Tasawar
Pham, Viet-Thanh
author_facet Kapitaniak, Tomasz
Mohammadi, S. Alireza
Mekhilef, Saad
Alsaadi, Fawaz
Hayat, Tasawar
Pham, Viet-Thanh
author_sort Kapitaniak, Tomasz
title 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_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_sort new chaotic system with stable equilibrium: entropy analysis, parameter estimation, and circuit design
publisher MDPI
publishDate 2018
url http://eprints.um.edu.my/21695/
https://doi.org/10.3390/e20090670
_version_ 1643691633758175232

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