Title :
Chaotic synchronization between fractional-order financial system and financial system of integer orders
Author :
Dong Jun ; Zhang Guangjun ; Wang Shaoying ; Li Qiongyao
Author_Institution :
First Aeronaut. Inst. of Air Force, Xinyang, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, the synchronization between the fractional-order chaotic system and the chaotic system of integer orders is researched. First, based on the fractional-order theory of stability the synchronization is proved strictly in mathematics. Second, based on the fractional theory of stability and nonlinear dynamic theory, the nonlinear controller is designed. And by the nonlinear controller the synchronization between the fractional-order chaotic financial system and the chaotic financial system of integer orders is realized. Finally, by the Predictor-Corrector scheme numerical simulation, the validity of the presented method is verified.
Keywords :
control system synthesis; nonlinear control systems; predictor-corrector methods; stability; synchronisation; chaotic synchronization; fractional-order financial system; integer orders financial system; nonlinear controller design; numerical simulation; predictor-corrector scheme; stability fractional-order theory; Chaotic communication; Educational institutions; Nonlinear dynamical systems; Numerical stability; Stability analysis; Synchronization; chaos; financial system; fractional-order; synchronization;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6853055
