| 含两组状态变量且参数具有对称性的等变分歧问题及其开折的稳定性 |
| |
| 引用本文： | 崔登兰,李养成.含两组状态变量且参数具有对称性的等变分歧问题及其开折的稳定性[J].应用数学和力学,2007,28(2):209-215. |
| |
| 作者姓名： | 崔登兰 李养成 |
| |
| 作者单位： | 中南大学 数学科学与计算技术学院,长沙 410083; |
| |
| 基金项目： | 国家自然科学基金;湖南省自然科学基金;湖南省社会科学基金 |
| |
| 摘 要： | 基于奇点理论中光滑映射芽的接触等价关系，讨论含两组状态变量且分歧参数带有对称性的等变分歧问题及其开折的稳定性，得到了一些基本结果，并且用横截性条件刻划了等变分歧问题的稳定性．
|
| 关 键 词： | 等变分歧问题 开折 稳定 无穷小稳定 |
| 文章编号： | 1000-0887（2007）02-0209-07 |
| 收稿时间： | 2005-06-08 |
| 修稿时间： | 2005-06-08 |
Stability of Equivariant Bifurcation Problems With Two Types of State Variables and Their Unfoldings in the Presence of Parameter Symmetry |
| |
| CUI Deng-lan,LI Yang-cheng.Stability of Equivariant Bifurcation Problems With Two Types of State Variables and Their Unfoldings in the Presence of Parameter Symmetry[J].Applied Mathematics and Mechanics,2007,28(2):209-215. |
| |
| Authors: | CUI Deng-lan LI Yang-cheng |
| |
| Institution: | School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, P. R. China;College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China |
| |
| Abstract: | Based on the contact equivalent relation of smooth map-germs in singularity theory,the stability of equivariant bifurcation problems with two types of state variables and their unfoldings in the presence of parameters symmetry was discussed.Some basic results are obtained.Transversality condition was used to characterize the stability of equivariant bifurcation problems. |
| |
| Keywords: | equivariant bifurcation problem unfolding stability infinitesimal stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
