Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system
In this paper we study analytically the existence of two families of periodic orbits using the averaging theory of second order, and the finite and infinite equilibria of a generalized Hénon-Heiles Hamiltonian system which includes the classical Hénon-Heiles Hamiltonian. Moreover we show that this g...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257110 |
| Acceso en línea: | https://ddd.uab.cat/record/257110 https://dx.doi.org/urn:doi:10.1016/j.geomphys.2021.104290 |
| Access Level: | acceso abierto |
| Palabra clave: | Eneralized Hénon-Heiles potential Finite equilibria Infinite equilibria |
| Sumario: | In this paper we study analytically the existence of two families of periodic orbits using the averaging theory of second order, and the finite and infinite equilibria of a generalized Hénon-Heiles Hamiltonian system which includes the classical Hénon-Heiles Hamiltonian. Moreover we show that this generalized Hénon-Heiles Hamiltonian system is not C integrable in the sense of Liouville-Arnol'd, i.e. it has not a second C first integral independent with the Hamiltonian. The techniques that we use for obtaining analytically the periodic orbits and the non C Liouville-Arnol'd integrability, can be applied to Hamiltonian systems with an arbitrary number of degrees of freedom. |
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