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对非线性经济周期模型分岔的研究 被引量：1

Bifurcations of an Extended Nonlinear Business Cycle Model
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摘要 基于Goodwin与Puu的经济周期模型,得到了一个推广的非线性动力学经济周期模型,利用路径积分法计算了系统转移概率密度,通过对不同参数条件下概率密度函数形状的变化分析,结合lyapunov指数图,得出了系统发生分岔和混沌的参数域。 Based on the business cycle model of Goodwin and Puu, an extend business cycle model is derived in this paper. The probability density function of the model can be captured by using path integration. The parametric scope of bifurcation and chaos dynamic behaviors were exposed by using lyapunov exponents and joint probability density of the system.
作者 孙学英 李佼瑞
机构地区 西安财经学院统计学院
出处 《统计与信息论坛》 CSSCI 2009年第10期14-17,42,共5页 Journal of Statistics and Information
基金 国家自然科学基金项目<非线性动力学经济周期模型及其应用>(10802061)
关键词 经济周期 路径积分 分岔 business cycle model path integration bifurcations
分类号 F012 [经济管理—政治经济学] O211.9 [理学—概率论与数理统计]
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参考文献13

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  • 2Puu T, Sushko I. A business cycle model with cubic nonlinearity[J]. Chaos, Solitons and Fractals,2004(19) :597 - 612.
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二级参考文献21

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统计与信息论坛
2009年 第10期

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