| 摘要: |
| 本文在双接触等价关系下,利用奇点的思想和交换代数中的技术, 讨论
了分岔问题偶的识别问题相关的两个重要模。给出了这两个模的完整结
构 |
| 关键词: 分岔问题偶,双接触等价,切空间,模。 |
| DOI: |
| 分类号:37G10, 58E09, 58K40. |
| 基金项目:中国国家自然科学基金资助,项目编号:12071353 |
|
| Structure of module S(f1, f2) and P(f1, f2) about the recognition for pair of bifurcation problems under bi-contact equivalence |
|
Liu Su-hui
|
| Abstract: |
| In this paper, under bi-contact equivalence relation on pairs of bifurcation
problems, using the idea of singularity theory and techniques from commutative algebra, two
important modules associated to the recognition problem for pair of bifurcation problems are
discussed. A complete structure of two modules is given. |
| Key words: pairs of bifurcation problems, bi-contact equivalence relation, tangent space, module. |