Title: Anti-lag synchronisation of hyperchaotic complex non-linear systems

Authors: Emad E. Mahmoud

Addresses: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt; College of Applied Medical Sciences, Taif University, Turabah, Kingdom of Saudi Arabia

Abstract: In this paper, we present the anti-lag synchronisation (ALS) of two identical or non-identical hyperchaotic complex non-linear systems. Based on Lyapunov function a scheme is designed to achieve ALS of hyperchaotic attractors of these systems. The ALS of two identical complex Chen systems and two different hyperchaotic complex Lorenz and Lü systems are taken as two examples to verify the feasibility of the presented scheme. Numerical simulations are computed to demonstrate the effectiveness of the analytical expressions of the controller.

Keywords: hyperchaotic systems; complex systems; nonlinear systems; anti-lag synchronisation; ALS; error function; Lyapunov function.

DOI: 10.1504/IJCSM.2013.057245

International Journal of Computing Science and Mathematics, 2013 Vol.4 No.3, pp.197 - 213

Received: 06 Mar 2013
Accepted: 10 Mar 2013
Published online: 10 May 2014 *

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