基于动力系统理论的一类金融混沌系统的定性分析

根据动力系统的基本理论与方法,针对一类三维金融动力系统,研究了该类金融动力系统的平衡点及其附近轨线的性态、解的最终界、全局吸引域、不变集等;最后,给出了相应的计算机仿真.这有助于加深人们对各种金融政策的理解,该混沌系统有望应用于控制工程、图像加密、混沌电路设计等领域中.

Qualitative Analysis of a Class of Financial Chaotic System Based on Dynamical System Theory

Based on the basic theory and method of dynamical system, according to a class of three dimensional financial dynamic systems, this paper studies the equilibrium point of this class of financial dynamic system, its nearby trajectory property, the final boundedness of the solution, global attractive sets, invariant set and so on, and ultimately gives corresponding computer simulation. This research is conducive to deepening the understanding of all kinds of financial policies, and this chaotic system is expected to be applied to control engineering, image encryption, chaotic circuit design and so on.