一类经济模型的分岔分析  

Bifurcation Analysis for A-Class of Discontinuous Economic Models

作　　者：韦丽梅[1] 李群宏[1] 卢裕木 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《钦州学院学报》2014年第2期22-25,42,共5页Journal of Qinzhou University

基　　金：广西自然科学基金资助项目:双侧约束碰撞振动系统的动力学研究(2010GXNSFA013110);两类分段光滑振动系统的复杂分岔研究(2013GXNSFAA019017)

摘　　要：针对一类不连续经济模型的边界碰撞分岔问题,系统地讨论了模型参数引起的非光滑性,推导了周期n+1解的边界碰撞分岔条件。通过数值仿真不仅验证了上述分岔条件的正确性,还发现该模型存在加周期序列和混沌现象。Border-collision bifurcations of a class of discontinuous economic models are investigated in this paper. The border-collision bifurcation curves for period-n＋l solutions are derived, while non-smoothness results from model parameters are systematically discussed. Not only the correctness of deduced results above is confirmed through the numerical simulations, but also period adding sequences and chaotic phenomenon in the model have been found.

关 键 词：经济模型 边界碰撞分岔 加周期序列 

分 类 号：O189.1[理学—数学]