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

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

4924

Lastpage

4928

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6853055

Filename

6853055