| Title | Perturbations in a champagne bottle |
| Publication Type | Journal Article |
| Year of Publication | 1997 |
| Authors | Georgiev G |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 89 |
| Issue | Livre 1 - Mathématiques et Mecanique |
| Pagination | 141-157 |
| ISSN | 0205-0808 |
| Keywords | Abelian Integrals, Isoenergetical non-degeneracy, KAM-theory, Kolmogorov's condition |
| Abstract | The system describing the motion of a particle in a potential field shaped like the bottom of a champagne bottle (more precisely, an $S^{1}$ symmetric double well) for KAM-theory conditions is studied. We show that the Kolmogorov's condition is fulfilled everywhere out of the bifurcation diagram of the energy-momentum map and we make researches for the condition of isoenergetical non-degeneracy. |
| 1991/95 MSC | 34D10, 58F07, 58F30, 70H05 |
| Attachment | Size |
|---|---|
 89-141-157.pdf | 1.11 MB |