摘要
在文献[1]给出的动态经济周期模型的基础上,研究当O*(t)(自发投资与自发消费的总和)为随机外力干扰的随机函数时对经济的影响,应用多尺度法及文献[7]求出了一阶近似解及系统的稳态响应,并分析了参数和随机激励的幅值对经济系统的影响.讨论了非零解的稳定性以及非零解稳定的充要条件,得出当随机激励的带宽γ较小时,系统仍会出现多值现象.
Based on the literature of dynamic business cycle model, this paper studies the impact of （ sum of self - investment and self - consumption） on economy when it proves to be random function interfered by random. The application of multiple scales results in a first - order approximation and a steady -state sohtion. An analysis is given concerning the impact of the parameters and random excitation amplitude on the economic systems. The paper also discusses the non - zero solution stability and the sufficient condition for the non - zero stability. The conclusion is that when the random excitation bandwidth is small, the system is still multi -valued.
出处
《西安文理学院学报（自然科学版）》
2011年第3期1-5,共5页
Journal of Xi’an University(Natural Science Edition)
基金
国家自然科学基金资助项目(10802061)
关键词
多尺度法
稳态响应
周期解
二阶矩
multiple scales
steady -state response
periodic solutions
the second moment
