Higher order Poincare-Pontryagin functions and iterated path integrals

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dc.creatorGavrilov, Lubomir
dc.date2004-03-17
dc.date2004-11-02
dc.date.accessioned2026-07-07T06:19:19Z
dc.date.available2026-07-07T06:19:19Z
dc.descriptionWe prove that the higher order Poincare-Pontryagin functions associated to the perturbed polynomial foliation $df -ε(P dx + Q dy) =0$ satisfy a differential equation of Fuchs type.
dc.descriptionThis is a revised version containing the following changes: reference [18] is added, some notations are changed, the proof of Theorem 1 is corrected, Theorem B1 and B2 are replaced now by Theorem B, some signs are corrected in the Appendix. The paper will appear in "Annales de la Faculte des Sciences de Toulouse", 2005
dc.identifierhttps://arxiv.org/abs/math/0403284
dc.identifierhttp://arxiv.org/abs/math/0403284
dc.identifierAnnales de la Faculté des Sciences de Toulouse, vol.14 (2005), no. 4, 677-696.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95029
dc.subjectDynamical Systems
dc.subject34C07, 34C08
dc.titleHigher order Poincare-Pontryagin functions and iterated path integrals
dc.typetext

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