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

Guoliang Cai, Mingzheng Yang
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引用次数: 12

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.
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一种新型三维混沌金融系统的全局指数吸引集与同步
本文报道了一类新型混沌金融系统的全局指数吸引集及其同步问题。首先,基于全局指数吸引集的定义和Lyapunov稳定性理论,给出了全局指数吸引集存在的充分条件;其次,研究了一种控制方法。分析得到了两个混沌金融系统全局指数同步的充分条件。最后,通过数值仿真验证了所提方法的有效性。
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