摘要
以GDP为研究对象建立了一个新的经济周期模型.首先研究了经济周期模型在不动点处的稳定性以及分岔行为;解释了稳定极限环与经济周期之间的关系;然后利用多尺度摄动法得到了此模型的一阶近似解,分析了收入变量在一个经济周期中的波动过程.
By taking the GDP as an object, this paper builds a new business cycle model. At first, the behaviors of stability and bifurcation at the fixed point of model are investigated, and the relationship between stable limits cycles and business cycle is explained. Then, the multiple scales method is used to obtain an approximated solution of model. With the approximated solution, the fluctuations of income in a whole business Cycle are analyzed.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第12期120-126,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(104720911033203010502042)
陕西省自然科学基金(2003A03)
关键词
经济周期
极限环
HOPF分岔
多尺度
business cycle
limit cycle
hopf bifurcation
multiple scales
