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arXiv · 0909.2410

Co-coupled synchronization of fractional-order unified chaotic systems

Kehui Sun·Jian Ren·Shuisheng Qiu
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Abstract

Synchronization of fractional-order chaotic systems is a hot topic in the field of nonlinear study. The co-coupled synchronization between two fractional-order chaotic systems with different initial conditions is investigated in this paper. Based on Lyapunov stability principle and Gerschgorin theorem, the co-coupled synchronization theorem of fractional-order chaotic systems is deduced, and the range of coupling coefficients is confirmed for synchronization of fractional-order unified chaotic systems. By building up the synchronization simulation model on Simulink, the co-coupled synchronization between two fractional-order unified chaotic systems with different initial value is carried out, and the synchronization performances are analyzed, and the simulation results show that this synchronization method is effective.

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Kehui Sun, Jian Ren, Shuisheng Qiu. 2009-09-13. Co-coupled synchronization of fractional-order unified chaotic systems. https://arxiv.org/abs/0909.2410

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