A new conservative chaotic dynamical system with lemniscate equilibrium, its circuit model and FPGA implementation
by Sundarapandian Vaidyanathan; Esteban Tlelo-Cuautle; P.S. Godwin Anand; Aceng Sambas; Omar Guillén-Fernández; Sen Zhang
International Journal of Automation and Control (IJAAC), Vol. 15, No. 2, 2021

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.

Online publication date: Mon, 01-Mar-2021

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