Globally exponentially attractive set and synchronization of a class of chaotic finance system

Abstract

This paper treats the globally exponentially attractive set and synchronization problem of a chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, a sufficient condition for the globally exponentially attractive set was given. Secondly, two control approaches, namely nonlinear feedback control of partial states and transmitted signal method of a single variable, are investigated. In both cases, sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicates the effectiveness of the proposed methods. © 2009 Springer Berlin Heidelberg.