Title: A new conservative chaotic dynamical system with lemniscate equilibrium, its circuit model and FPGA implementation

Authors: Sundarapandian Vaidyanathan; Esteban Tlelo-Cuautle; P.S. Godwin Anand; Aceng Sambas; Omar Guillén-Fernández; Sen Zhang

Addresses: Research and Development Centre, Vel Tech University, Chennai – 600062, Tamil Nadu, India ' Department of Electronics, INAOE, Tonantzintla, Puebla 72840, Mexico ' Department of Interdisciplinary Engineering, SaintGits College of Engineering, Pathamuttam-Post, Kottayam – 686532, Kerala, India ' Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, West Java, Indonesia ' Department of Electronics, INAOE, Tonantzintla, Puebla 72840, Mexico ' School of Physics and Opotoelectric Engineering, Xiangtan University, Hunan 411105, China

Abstract: A new conservative dynamical system exhibiting chaos properties is introduced in this work. The proposed nonlinear plant with conservative chaos has a lemniscate of equilibrium points. It is noted that the new 3D nonlinear plant exhibits hidden attractors. It is established that the new nonlinear plant exhibits conservative chaos and its properties are studied via bifurcation diagrams and Lyapunov exponents. The new nonlinear plant with lemniscate equilibrium exhibits multi-stability and coexisting attractors. A circuit model using MultiSim and FPGA implementation of the new nonlinear plant with lemniscate equilibrium are carried out for enhancing practical implementation.

Keywords: chaos; chaotic systems; FPGA implementation; circuit simulation.

DOI: 10.1504/IJAAC.2021.113337

International Journal of Automation and Control, 2021 Vol.15 No.2, pp.128 - 148

Received: 11 May 2019
Accepted: 22 May 2019
Published online: 01 Mar 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article