Title: A new fractional hybrid chaos synchronisation

Authors: Adel Ouannas; Ahmad Taher Azar; Sundarapandian Vaidyanathan

Addresses: Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa, 12002, Algeria ' Faculty of Computers and Information, Benha University, Egypt; Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt ' Research and Development Centre, Vel Tech University, Avadi, Chennai, 600062, Tamil Nadu, India

Abstract: Over the last decades, synchronisation of chaotic systems has become an active research area and has been extensively and intensively studied due to the variety of important applications. Different types of chaos synchronisation have been presented, and many various methods and techniques for chaos synchronisation have been reported to investigate some types of chaos. In this paper, by combining full state hybrid projective synchronisation (FSHPS) and inverse full state hybrid projective synchronisation (IFSHPS), a new type of hybrid synchronisation between different dimensional incommensurate fractional order chaotic systems is proposed. Based on fractional control laws and stability theory of linear fractional order systems, a new theorem is derived to demonstrate the co-existence of FSHPS and IFSHPS. Numerical simulations are used to validate the theoretical results.

Keywords: chaos synchronisation; fractional-order systems; full state hybrid function projective synchronisation; fractional stability; co-existence.

DOI: 10.1504/IJMIC.2017.084719

International Journal of Modelling, Identification and Control, 2017 Vol.27 No.4, pp.314 - 322

Received: 26 Apr 2016
Accepted: 25 May 2016

Published online: 09 Jun 2017 *

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