Title: Electronic circuit design and FPGA-based hardware implementation of a new multistable 4-D hyperchaotic four-leaf system

Authors: Sundarapandian Vaidyanathan; Aceng Sambas; Daniel Clemente-Lopez; Jesus M. Munoz-Pacheco; Alain Soup Tewa Kammogne; Vannick Fopa Mawamba; Siewe Siewe Martin; Samy A. Safaan

Addresses: Centre for Control Systems, Vel Tech University, Avadi, Chennai, Tamil Nadu, India ' Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Gong Badak 21300, Terengganu, Malaysia; Department of Mechanical Engineering, Universitas Muhammadiyah Taskimalaya, Tasikmalaya, Jawa Barat, Indonesia ' Digital Systems Group - Department of Electronics, Instituto Nacional de Astrofísica, Óptica y Electrónica (INAOE), Puebla, Mexico ' Chaotic and Fractional-Order Systems and Nonlinear Circuits Group, Faculty of Electronics Sciences, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico ' Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon ' Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon ' Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Sciences, University of Yaounde I, Yaounde, Cameroon ' Department of Natural and Applied Sciences, Community College of Buraydah, Qassim University, Buraydah, Qassim, Saudi Arabia; Nile Higher Institute for Commercial Science and Computer Technology, Mansoura, Dakahlia Governorate, Egypt

Abstract: We generate a new hyperchaotic four-leaf system by inserting a state feedback control to the 3-D Vaidyanathan-Rhif chaotic four-leaf system (Vaidyanathan and Rhif, 2017). The new hyperchaotic system developed in this work has three quadratic non-linearities and two positive Lyapunov exponents. Bifurcation analysis points coexisting bifurcations and multiple attractors for the new 4-D hyperchaotic four-leaf system. Next, we construct an electronic circuit model using MultiSim (Version 13.0) for implementing the new 4-D hyperchaotic four-leaf system. Embedded and non-embedded implementations of chaotic and hyperchaotic systems are vital to increase their usability in many engineering applications since those FPGA designs can be linked to the digital world surrounding us in a direct manner. An ARM-FPGA-based hardware implementation of the 4-D hyperchaotic four-leaf system is given in detail, showing a good agreement between numerical and experimental results.

Keywords: hyperchaos; chaos; electronics; circuit design; stability; FPGA design; hyperchaotic systems; phase portraits; bifurcation; system analysis.

DOI: 10.1504/IJCAT.2023.132548

International Journal of Computer Applications in Technology, 2023 Vol.72 No.1, pp.13 - 28

Received: 27 Jun 2022
Received in revised form: 05 Aug 2022
Accepted: 23 Aug 2022
Published online: 28 Jul 2023 *

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