| Автор | James Montaldi |
| Дата выпуска | 1997-03-01 |
| dc.description | We consider relative equilibria in symmetric Hamiltonian systems, and their persistence or bifurcation as the momentum is varied. In particular, we extend a classical result about persistence of relative equilibria from values of the momentum map that are regular for the coadjoint action, to arbitrary values, provided that either (i) the relative equilibrium is at a local extremum of the reduced Hamiltonian or (ii) the action on the phase space is (locally) free. The first case uses just point-set topology, while in the second we rely on the local normal form for (free) symplectic group actions, and then apply the splitting lemma. We also consider the Lyapunov stability of extremal relative equilibria. The group of symmetries is assumed to be compact. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Persistence and stability of relative equilibria |
| Тип | paper |
| DOI | 10.1088/0951-7715/10/2/009 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 10 |
| Первая страница | 449 |
| Последняя страница | 466 |
| Аффилиация | James Montaldi; Institut Non-Linéaire de Nice, 1361 route des Lucioles, 06560 Valbonne, France |
| Выпуск | 2 |
