| Автор | Tassos C Bountis |
| Автор | Vassilios M Rothos |
| Дата выпуска | 1996-07-01 |
| dc.description | It has been proved by Ziglin, for a large class of two-degree-of-freedom (2DOF) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed points imply infinite branching of solutions in the complex time plane and the non-existence of a second analytic integral of the motion. Here, we follow a similar approach to show the existence of infinitely sheeted solutions for 2DOF. Hamiltonians which exhibit, upon perturbation, subharmonic bifurcations of resonant tori around an elliptic fixed point. Moreover, as shown recently, these Hamiltonian systems are non-integrable if their resonant tori form a dense set. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the analytic structure of two-degree-of-freedom Hamiltonian systems around an elliptic fixed point |
| Тип | paper |
| DOI | 10.1088/0951-7715/9/4/003 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 9 |
| Первая страница | 877 |
| Последняя страница | 886 |
| Аффилиация | Tassos C Bountis; Department of Mathematics, University of Patras, GR 261 10, Patras, Greece |
| Аффилиация | Vassilios M Rothos; Department of Mathematics, University of Patras, GR 261 10, Patras, Greece |
| Выпуск | 4 |
