| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article forum
| |
|
Shilnikov Lemma for a nondegenerate critical manifold of a Hamiltonian system | Sergey Bolotin
; Piero Negrini
; | Date: |
21 Aug 2013 | Abstract: | We prove an analog of Shilnikov Lemma for a normally hyperbolic symplectic
critical manifold $Msubset H^{-1}(0)$ of a Hamiltonian system. Using this
result, trajectories with small energy $H=mu>0$ shadowing chains of homoclinic
orbits to $M$ are represented as extremals of a discrete variational problem,
and their existence is proved. This paper is motivated by applications to the
Poincar’e second species solutions of the 3 body problem with 2 masses small
of order $mu$. As $mu o 0$, double collisions of small bodies correspond to
a symplectic critical manifold of the regularized Hamiltonian system. | Source: | arXiv, 1308.4604 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |