Co-coupled synchronization of fractional-order unified chaotic systems
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.
Keywords
Cite
@article{arxiv.0909.2410,
title = {Co-coupled synchronization of fractional-order unified chaotic systems},
author = {Kehui Sun and Jian Ren and Shuisheng Qiu},
journal= {arXiv preprint arXiv:0909.2410},
year = {2009}
}
Comments
8pages,5figures,26references