Title: Modelling, bifurcation analysis and multistability of a new 4D hyperchaotic system with no balance point, its master-slave synchronisation and MultiSim circuit simulation

Authors: Sundarapandian Vaidyanathan; Khaled Benkouider; Aceng Sambas

Addresses: Research and Development Centre, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600062, Tamil Nadu, India ' Non-Destructive Testing Laboratory, Automatic Department, Jijel University, BP 98, 18000, Jijel, Algeria ' Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, West Java, Indonesia

Abstract: This research manuscript focuses on the modelling, bifurcation analysis and multistability of a new four-dimensional hyperchaotic system with no balance point. The proposed hyper chaos system has four quadratic nonlinear terms and three parameters. We perform a detailed bifurcation analysis of the hyper chaos system and illustrate that it has coexisting hyperchaotic attractors. The proposed system has no balance point, and it is equipped with hidden attractors. Using integral sliding mode control, we derive control results for the global hyper chaos synchronisation of a pair of hyper chaos systems and MATLAB plots are shown as illustrations. Finally, circuit simulations of the new 4D hyperchaotic system with no balance point are carried out using MultiSim.

Keywords: bifurcation; hyper chaos; multistability; balance points; Lyapunov exponents; circuit simulation; sliding mode control; attractor.

DOI: 10.1504/IJMIC.2022.125551

International Journal of Modelling, Identification and Control, 2022 Vol.40 No.4, pp.279 - 293

Received: 09 Oct 2021
Accepted: 14 Nov 2021
Published online: 14 Sep 2022 *

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