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The synchronization of nonlinear-coupled fractional-order Liu systems is verified theoretically and numerically when the sum of the coupling coefficients of systems is 1 = + β α . Numerical simulations coincide with the theoretical analysis, and show fractional order and linear matrix influence chaotic synchronization. Furthermore, this method is applied in secure communication, and a chaotic masking system is designed.

Chaotic Synchronization of Nonlinear-Coupled Fractional-order Liu System and Secure Communication