Title: Anti-synchronisation of non-identical fractional order hyperchaotic systems

Authors: A.K. Alomari; Mohammad F. Al-Jamal; Nedal Tahat

Addresses: Department of Mathematics, Yarmouk University, Irbid 211-63, Jordan ' Department of Mathematics, Yarmouk University, Irbid 211-63, Jordan ' Department of Mathematics, The Hashemite University, Zarqa 131-33, Jordan

Abstract: This paper deals with the anti-synchronisation of fractional order hyperchaotic systems. In particular, we employ the active control method to achieve complete anti-synchronisation between fractional order Lorenz and Chen hyperchaotic systems. Based on stability theorems in the fractional calculus, analysis of stability is performed for the proposed method. Numerical simulations demonstrate the feasibility of the proposed algorithm.

Keywords: active control; anti-synchronisation; fractional hyperchaotic systems; non-identical control system.

DOI: 10.1504/IJCSM.2020.111709

International Journal of Computing Science and Mathematics, 2020 Vol.12 No.3, pp.285 - 296

Received: 19 Nov 2018
Accepted: 11 Dec 2018
Published online: 11 Dec 2020 *

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