Some tastings in Morales-Ramis Theory

Autor: Acosta-Humánez, Primitivo Belén, Blanco, Germán Jiménez
Rok vydání: 2018
Předmět:
Zdroj: Presented in IV DMA, 10/10/2018
Druh dokumentu: Working Paper
Popis: 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
Comment: Short paper (8 pages)
Databáze: arXiv