Homotopical Dynamics IV: Hopf invariants and hamiltonian flows
| dc.creator | Cornea, Octavian | |
| dc.date | 2001-11-22 | |
| dc.date.accessioned | 2026-07-07T04:44:44Z | |
| dc.date.available | 2026-07-07T04:44:44Z | |
| dc.description | In a non-compact context the first natural step in the search for periodic orbits of a hamiltonian flow is to detect bounded ones. In this paper we show that, in a non-compact setting, certain algebraic topological constraints imposed to a gradient flow of the hamiltonian function $f$ imply the existence of bounded orbits for the hamiltonian flow of $f$. Once the existence of bounded orbits is established, under favorable circumstances, application of the $C^{1}$-closing lemma leads to periodic ones. | |
| dc.description | 54 pages | |
| dc.identifier | https://arxiv.org/abs/math/0111247 | |
| dc.identifier | http://arxiv.org/abs/math/0111247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62712 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Algebraic Topology | |
| dc.subject | 37J45; 55Q25; 57R70 | |
| dc.title | Homotopical Dynamics IV: Hopf invariants and hamiltonian flows | |
| dc.type | text |