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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Multistability in a New Chaotic System with Biscuit-Shaped Equilibrium, its Analysis, Synchronization and Circuit Design

Discontinuity, Nonlinearity, and Complexity 11(3) (2022) 501--514 | DOI:10.5890/DNC.2022.09.011

Aceng Sambas$^1$, Sundarapandian Vaidyanathan$^{2}$, Sukono$^{3}$, Sen Zhang$^{4}$, Yuyun Hidayat$^{5}$

$^{1}$ Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia

$^{2}$ Research and Development Centre, Vel Tech University, Avadi, Chennai, India

$^{3}$ Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia

$^{4}$ School of Physics and Opotoelectric Engineering, Xiangtan University, Hunan, China

$^{5}$ Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia

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Abstract

A new 3-D chaotic system with a biscuit-like closed curve equilibrium is proposed in this paper. We analyze the qualitative properties of the new chaotic system in terms of phase plots, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We also establish that the new chaotic system has multistability with coexisting attractors. As a control application, we use integral sliding mode control for self-synchronization of the new chaotic system taken as master-slave systems. Finally, an electronic circuit realization of the new chaotic system is developed in MultiSIM, which confirms the feasibility of the system.

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