Galoisian obstructions to non-Hamiltonian integrability

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dc.creatorAyoul, Michael
dc.creatorZung, Nguyen Tien
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:35:33Z
dc.date.available2026-07-07T12:35:33Z
dc.descriptionWe 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
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0901.4586
dc.identifierhttp://arxiv.org/abs/0901.4586
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217797
dc.subjectDynamical Systems
dc.titleGaloisian obstructions to non-Hamiltonian integrability
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