Abstract

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 Rossler system driving fractional-order complex Chen system, and fractional-order complex Lorenz system driving fractional-order real Lu system. Numerical simulations confirm the validity and feasibility of the analytical method.

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