Title: A novel six-dimensional hyperchaotic system with self-excited attractors and its chaos synchronisation
Authors: Ahmed S. Al-Obeidi; Saad Fawzi Al-Azzawi
Addresses: Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq ' Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Abstract: A few researches are available in the aspect of high dimensional nonlinear dynamical systems. This paper presents a novel 6-D continuous real variable hyperchaotic system with self-excited attractors, consists of 17-terms and various characteristics which include equilibria and their stability, Lyapunov exponents, chaos synchronisation. Firstly, a novel model with linear feedback controller is proposed. The error dynamics for complete control strategy is found. Three different suitable and effective controllers are designed to stabilise this error by using nonlinear control and based on two main tools: Lyapunov stability theory and the linearisation method. Finally, comparison between the two tools was done. The proposed controller is effective and convenient to achieve chaos synchronisation of the new systems. Moreover, numerical simulations were carried out by using MATLAB to validate all the synchronisation phenomena derived in this paper.
Keywords: chaos synchronisation; novel 6-D dynamical systems; self-excited attractors; Lyapunov stability theory; nonlinear control.
International Journal of Computing Science and Mathematics, 2022 Vol.15 No.1, pp.72 - 84
Received: 26 Feb 2019
Accepted: 24 Jun 2019
Published online: 11 Apr 2022 *