【摘要】 对金融系统来说,既可能受到来自外部的随机扰动,也可能受到来自内部的随机扰动。在外部扰动和内部扰动的情况下,分析了金融混沌系统的动力学演化性质,这些基本动力学特征包括金融系统平衡点的稳定性、吸引子的存在性、分数维、李雅普洛夫指数、边界、重心、谱图、庞开莱图、分岔图和理性预期均衡点等等。理论分析和数值仿真表明,对金融混沌系统的微小外部扰动或者微小内部扰动都可以显著地改变金融混沌系统的动力学行为,从而破坏金融混沌系统的稳定性。对随机扰动下的金融混沌系统动力学分析,可以了解其演化规律,从而为经济部门提供政策建议。更多还原

【Abstract】 In this paper,the chaotic finance system with perturbation is discussed. Some basic dynamical properties,such as Lyapunov exponents,Poincare mapping,fractal dimension,bifurcation diagram,continuous spectrum,rational expectations equilibrium and chaotic dynamical behaviors of the new chaotic system are studied numerically and analytically. The analysis shows that the chaotic system with small perturbations can significantly change the behavior of the system.更多还原