Generic existence of nondegenerate homoclinic solutions
- 作者: Motreanu D.1, Motreanu V.2
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隶属关系:
- Université de Perpignan
- Collège Jean Moulin
- 期: 卷 38, 编号 2 (2017)
- 页面: 322-329
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199037
- DOI: https://doi.org/10.1134/S1995080217020159
- ID: 199037
如何引用文章
详细
The paper focuses on the homoclinic solutions of a general second order Hamiltonian system. By applying an abstract parametric transversality result, it is shown that generically the problem admits finitely many homoclinic solutions. These solutions are nondegenerate in the sense that they correspond to nondegenerate critical points of the associated functional and depend smoothly on the vector field.
作者简介
D. Motreanu
Université de Perpignan
编辑信件的主要联系方式.
Email: motreanu@univ-perp.fr
法国, Perpignan, 66860
V. Motreanu
Collège Jean Moulin
Email: motreanu@univ-perp.fr
法国, Tomblaine, 54510