Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems

Bo Li, Xiaobing Zhou and Yun Wang

Complexity, 2019, vol. 2019, 1-9

Abstract:

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5184032

DOI: 10.1155/2019/5184032

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