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

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.