Multi‐switching combination–combination synchronization of non‐identical fractional‐order chaotic systems. (27th April 2017)

• Record Type: Journal Article
• Authors: Khan, Ayub; Bhat, Muzaffar Ahmad
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 15(2017)
• Page Start: 5654
• Page End: 5667
• Publication Date: 2017-04-27
• Subjects: chaos synchronization -- fractional‐order system -- stability theory -- multi‐switching synchronization -- combination–combination synchronization; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4416
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, multi‐switching combination–combination synchronization scheme has been investigated between a class of four non‐identical fractional‐order chaotic systems. The fractional‐order Lorenz and Chen's systems are taken as drive systems. The combination–combination of multi drive systems is then synchronized with the combination of fractional‐order Lü and Rössler chaotic systems. In multi‐switching combination–combination synchronization, the state variables of two drive systems synchronize with different state variables of two response systems simultaneously. Based on the stability of fractional‐order chaotic systems, the multi‐switching combination–combination synchronization of four fractional‐order non‐identical systems has been investigated. For the synchronization of four 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. Copyright © 2017 John Wiley & Sons, Ltd.