Title :
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
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;
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
DOI :
10.1109/ICIC.2010.111
