## 留言板

 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.
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.
 Citation: 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.

## 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

###### 作者简介:崔登兰(1970- ),女,湖南常德人,讲师,博士(联系人.+86-731-8833576;E-mail:cuidl88ji@yahoo.com.cn).
• 中图分类号: O189.3；O177.91

## Stability of Equivariant Bifurcation Problems With Two Types of State Variables and Their Unfoldings in the Presence of Parameter Symmetry

• 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．
•  [1] Gervais J J. Stability of unfoldings in the context of equivariant contact equivalence[J].Pacific J Math,1988,132(2):283-291. [2] Lari-Lavassani A, Lu Y C. On the stability of equivariant bifurcation problems and their unfoldings[J].Can Math Bull,1992,35(2):237-246. [3] Lari-lavassani A, Lu Y C. Equivariant multiparameter bifurcations via singularity theory[J].J Dynamics Differential Equations,1993,5(2):189-218. [4] Golubitsky M, Stewart I, Schaeffer D C.Singularities and Groups in Bifurcation Theory[M].Vol 2. New York: Springer-Verlag, 1988. [5] Arnold V I, Gusein-Zade S M, Varchenko A N.Singularities of Differentiable Maps[M].Vol 1.Basel/Stuttgart：Birk Hauser,1985. [6] Damon J. The unfolaling and determinacy theorem for subgroups of A and K[R]. Vol 50,No 306.Memoirs AMS 306, Providence:AMS,1984:1-88. [7] CUI Deng-lan,LI Yang-cheng.The unfolding of equivariant bifurcation problems with two types of state variables in the presence of parameter symmetry[J].Acta Mathematica Sinica A,2006,22(5):1433-1440.
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##### 出版历程
• 收稿日期:  2005-06-08
• 修回日期:  2006-11-13
• 刊出日期:  2007-02-15

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