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Entropy 2018, 20(9), 670; https://doi.org/10.3390/e20090670

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

1
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
2
Power Electronics and Renewable Energy Research Laboratory (PEARL), Department of Electrical Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia
3
Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah 21589, Saudi Arabia
4
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
5
NAAM Research Group, King Abdulaziz University, Jeddah 21589, Saudi Arabia
6
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
*
Author to whom correspondence should be addressed.
Received: 12 July 2018 / Revised: 1 August 2018 / Accepted: 2 August 2018 / Published: 5 September 2018
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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. View Full-Text
Keywords: chaotic flow; hidden attractor; multistable; entropy chaotic flow; hidden attractor; multistable; entropy
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Kapitaniak, T.; Mohammadi, S.A.; Mekhilef, S.; Alsaadi, F.E.; Hayat, T.; Pham, V.-T. A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design. Entropy 2018, 20, 670.

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