Galoisian obstructions to non-Hamiltonian integrability

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We show that the main theorem of Morales--Ramis--Simo about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamiltonian case. Namely, if a dynamical system is meromorphically integrable in the non-Hamiltonian sense, then the differential Galois groups of the variational equations (of any order) along its solutions must be virtually Abelian
5 pages

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Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/217797

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.4586
 http://arxiv.org/abs/0901.4586

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arXiv