Multi-switching combination synchronization of different fractional-order non-linear dynamical systems. (2nd October 2018)

• Record Type: Journal Article
• Authors: Bhat, Muzaffar Ahmad; Khan, Ayub
• Is Part Of: International journal of modelling & simulation. Volume 38:Number 4(2018)
• Page Start: 254
• Page End: 261
• Publication Date: 2018-10-02
• Subjects: Chaos synchronization -- fractional-order system -- stability theory -- multi-switching synchronization -- combination synchronization; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2018.1442988
• Languages: English
• ISSNs: 0228-6203

Abstract

Abstract: In this paper, multi-switching combination synchronization (MSCS) scheme has been investigated between a class of three non-identical fractional-order chaotic systems. The fractional-order Lorenz and Chen System are taken as drive systems. The combination of multi drive systems is then synchronized with the fractional-order Rössler chaotic system. In MSCS, the state variables of two drive systems synchronize with different state variables of response system, simultaneously. Based on the stability of fractional-order chaotic systems, the multi-switching combination synchronization of three fractional-order non-identical systems has been investigated. For the synchronization of three non-identical fractional-order chaotic systems suitable controllers have been designed. Theoretical analysis and numerical results are presented to demonstrate the validity and feasibility of the applied method.