一类三维动力系统的分岔及混沌分析

Analysis on Bifurcation and Chaos For A-Class Three-Dimensional Dynamical System

对一类三维非线性混沌金融系统进行了动力学特征分析,得到了模型方程的三个平衡点,并对其稳定性进行了讨论.通过数值仿真得到了系统的分岔图及Lyapunov指数图,进而分析了参数变化对系统稳定性及分岔的影响.该研究对理解各种金融政策的杠杆原理有参考意义.

The paper gives three equilibrium points of the model equation and probes into its stability throughthe analysis on the dynamical characteristics of a-class three-dimensional nonlinear chaotic financial systems.Meanwhile, the bifurcation diagrams and Lyapunov exponent graphs are simulated by Matlab and then theimpact on stability and bifurcation of the system is analyzed based on different parameters. This researchprovides certain significance to understanding the lever principle of the various financial policies.