Globally Exponentially Attractive Set and Synchronization of a Novel Three-Dimensional Chaotic Finance System

Author

Cai, Guo-Liang ; Yang, Ming-Zheng

Author_Institution

Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China

Volume

2

fYear

2010

fDate

4-6 June 2010

Firstpage

70

Lastpage

73

Abstract

This paper reports the globally exponentially attractive set and synchronization problem of a new chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, the sufficient condition of the globally exponentially attractive set was given. Secondly, one control approaches is investigated. Sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicate the effectiveness of the proposed methods.

Keywords

Lyapunov methods; chaos; finance; set theory; stability; synchronisation; Lyapunov stability theory; globally exponential synchronization; globally exponentially attractive set; sufficient condition; synchronization problem; three-dimensional chaotic finance system; Chaos; Control systems; Electronic mail; Feedback control; Finance; Investments; Lyapunov method; Numerical simulation; Production systems; Sufficient conditions; chaotic finance system; globally exponentially attractive set; synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing (ICIC), 2010 Third International Conference on

Conference_Location

Wuxi, Jiang Su

Print_ISBN

978-1-4244-7081-5

Electronic_ISBN

978-1-4244-7082-2

Type

conf

DOI

10.1109/ICIC.2010.111

Filename

5514097