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Original Article

Multi-switching combination synchronization of different fractional-order non-linear dynamical systems

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Pages 254-261 | Received 05 Mar 2017, Accepted 02 Dec 2017, Published online: 13 Mar 2018
 

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.

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