Synchronization in coupled nonidentical incommensurate fractional-order systems |
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Authors: | Jun-Wei Wang Yan-Bin Zhang |
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Institution: | a School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, PR China b School of Computer Science, Hangzhou Dianzi University, Hangzhou 310018, PR China |
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Abstract: | Synchronization of fractional-order nonlinear systems has received considerable attention for many research activities in recent years. In this Letter, we consider the synchronization between two nonidentical fractional-order systems. Based on the open-plus-closed-loop control method, a general coupling applied to the response system is proposed for synchronizing two nonidentical incommensurate fractional-order systems. We also derive a local stability criterion for such synchronization behavior by utilizing the stability theory of linear incommensurate fractional-order differential equations. Feasibility of the proposed coupling scheme is illustrated through numerical simulations of a limit cycle system, a chaotic system and a hyperchaotic system. |
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Keywords: | 05 45 -a 05 45 Xt 05 45 Pq |
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