Complex Modified Projective Synchronization for Fractional-order Chaotic Complex Systems
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The aim of this paper is to study complex modified projective synchronization (CMPS) between fractional-order chaotic nonlinear systems with incommensurate orders. Based on the stability theory of incommensurate fractional-order systems and active control method, control laws are derived to achieve CMPS in three situations including fractional-order complex Lorenz system driving fractional-order complex Chen system, fractional-order real Rössler system driving fractional-order complex Chen system, and fractional-order complex Lorenz system driving fractional-order real Lü system. Numerical simulations confirm the validity and feasibility of the analytical method.
KeywordsFractional-order system chaotic complex system incommensurate order complex modified projective synchronization (CMPS) active control
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This work was supported by Key Program of National Natural Science Foundation of China (No. 61533011) and National Natural Science Foundation of China (Nos. 61273088 and 61603203).
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