Generic existence of nondegenerate homoclinic solutions
- Авторы: Motreanu D.1, Motreanu V.2
-
Учреждения:
- Université de Perpignan
- Collège Jean Moulin
- Выпуск: Том 38, № 2 (2017)
- Страницы: 322-329
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199037
- DOI: https://doi.org/10.1134/S1995080217020159
- ID: 199037
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
D. Motreanu
Université de Perpignan
Автор, ответственный за переписку.
Email: motreanu@univ-perp.fr
Франция, Perpignan, 66860
V. Motreanu
Collège Jean Moulin
Email: motreanu@univ-perp.fr
Франция, Tomblaine, 54510
![](/img/style/loading.gif)