Some tastings in Morales-Ramis theory
In this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian systems through Liouville Arnold theorem and integrability of linear differential equations through differential Galois the...
- Autores:
-
Acosta Humánez, P.
Jiménez, G.
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad Simón Bolívar
- Repositorio:
- Repositorio Digital USB
- Idioma:
- eng
- OAI Identifier:
- oai:bonga.unisimon.edu.co:20.500.12442/4487
- Acceso en línea:
- https://hdl.handle.net/20.500.12442/4487
- Palabra clave:
- Rights
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
| Summary: | In this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian systems through Liouville Arnold theorem and integrability of linear differential equations through differential Galois theory. As contribution, we obtain the abelian differential Galois group of the variational equation related to a bi-parametric Hamiltonian system. |
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