摘要
在Goodwin与Puu的宏观经济思想基础上,得到了一个推广的非线性动力学经济周期系统.首先用数值方法研究了此系统在特定参数条件下的全局分岔行为.然后结合最大Lyapunov指数,详细讨论了系统在分岔过程中动力学特征的转变.通过分析分岔图形发现在某些参数区间内倍周期分岔导致了混沌;在混沌区域内嵌有多个周期窗口;“加速数”值的增加可以促进经济的周期性运动.最后介绍了分岔和混沌分析得到的动力学性质对理解经济波动的应用.
Based on the macroeconomic ideas of Goodwin and Puu, this article derived a generalized nonlinear dynamical business cycle system. First, the numerical methods were used to investigate the global bifurcation behaviors of the ,system depending on certain parameters. Then, by means of the largest Lyapunov exponent, the variations of the dynamical characters during the bifurcation were discussed. Through the bifurcation figures,we found the period-doubling bifurcation route to chaos within some parameter intervals, and there were several periodic windows embedded in the chaotic domains. Besides, the increase of ＂accelcrator＂ value can improve the cyclical motion of economics. Finally, the potential applications of the dynamical properties by bifurcation and chaos analysis to understanding economic fluctuations were introduced.
出处
《动力学与控制学报》
2005年第4期39-43,共5页
Journal of Dynamics and Control
基金
国家自然科学基金(10472091
10332030)
陕西自然科学基金(2003A03)资助项目~~
