含参数的常微系统的分岔研究  

Bifurcation Study of Ordinary Differential Systems Containing Parameter

作　　者：徐园芬[1] 

机构地区：[1]浙江万里学院,浙江宁波315100

出　　处：《浙江万里学院学报》2015年第6期82-85,共4页Journal of Zhejiang Wanli University

基　　金：浙江省自然科学基金(LY12E05005);浙江省科学技术厅一般项目(2012C21084)

摘　　要：文章应用中心流形定理和分岔理论,通过改变假设条件,获得了含参数的常微系统的两个新的分岔类型,并给出了较为简单的证明。Two new types of bifurcation of ordinary differential systems containing the parameter were obtained in this paper by changing the assumption conditions and applying the center manifold theorem and bifurcation theory. Meanwhile, the relatively simple proof was also given in this study.

关 键 词：鞍结分岔 穿越分岔 叉型分岔 平衡点 

分 类 号：O175.12[理学—数学]