The Open Cybernetics & Systemics Journal

2015, 9 : 2327-2331
Published online 2015 October 19. DOI: 10.2174/1874110X01509012327
Publisher ID: TOCSJ-9-2327

Generalized Synchronization of Fractional-Order Chaotic Systems with Unequal Orders

Zhang Weiwei and Chen Dingyuan
School of Mathematics and Computational Science, Anqing Normal University, Anqing, Anhui 246133, P.R. China.

ABSTRACT

The synchronization problem between non-identical fractional orders chaotic systems has few investigated. This letter presents generalized synchronization of different fractional orders chaotic systems with non-identical orders. Based on the basic properties of fractional calculus and the stability theory of fractional order systems, a general method is obtained. Furthermore, the paper presents different dimensions chaotic systems to achieve the synchronization and the corresponding simulations show the feasibility of the method.

Keywords:

Different dimensions, Fractional orders chaotic systems, Generalized synchronization, non-identical orders.