|
| | | | |
| | | |
| Stat |
Members: 3667
Articles: 2'599'751
Articles rated: 2609
07 February 2025 |
|
| | | | |
|
Article overview
| |
|
|
Lecture notes on closed orbits for twisted autonomous Tonelli Lagrangian flows | | Gabriele Benedetti
; | | Date: |
1 May 2016 | | Abstract: | These notes were prepared in occasion of a mini-course given by the author at
the "CIMPA Research School - Hamiltonian and Lagrangian Dynamics" (10-19 March
2015 - Salto, Uruguay). The talks were meant as an introduction to the problem
of finding periodic orbits of prescribed energy for autonomous Tonelli
Lagrangian systems on the twisted cotangent bundle of a closed manifold. In the
first part of the lecture notes, we put together in a general theorem old and
new results on the subject. In the second part, we focus on an important class
of examples: magnetic flows on surfaces. For such systems, we discuss a special
method, originally due to Taimanov, to find periodic orbits with low energy and
we study in detail the stability properties of the energy levels. | | Source: | arXiv, 1605.0258 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER