Open Access
2014 The Dynamics and Synchronization of a Fractional-Order System with Complex Variables
Xiaoya Yang, Xiaojun Liu, Honggang Dang, Wansheng He
Abstr. Appl. Anal. 2014(SI40): 1-8 (2014). DOI: 10.1155/2014/218537


A fractional-order system with complex variables is proposed. Firstly, the dynamics of the system including symmetry, equilibrium points, chaotic attractors, and bifurcations with variation of system parameters and derivative order are studied. The routes leading to chaos including the period-doubling and tangent bifurcations are obtained. Then, based on the stability theory of fractional-order systems, the scheme of synchronization for the fractional-order complex system is presented. By designing appropriate controllers, the synchronization for the system is realized. Numerical simulations are carried out to demonstrate the effectiveness of the proposed scheme.


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Xiaoya Yang. Xiaojun Liu. Honggang Dang. Wansheng He. "The Dynamics and Synchronization of a Fractional-Order System with Complex Variables." Abstr. Appl. Anal. 2014 (SI40) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021952
MathSciNet: MR3246321
Digital Object Identifier: 10.1155/2014/218537

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI40 • 2014
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