Resurgent functions and splitting problems

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dc.creatorSauzin, David
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:03:52Z
dc.date.available2026-07-07T08:03:52Z
dc.descriptionThe present text is an introduction to Écalle's theory of resurgent functions and alien calculus, in connection with problems of exponentially small separatrix splitting. An outline of the resurgent treatment of Abel's equation for resonant dynamics in one complex variable is included. The emphasis is on examples of nonlinear difference equations, as a simple and natural way of introducing the concepts.
dc.description70 pages
dc.identifierhttps://arxiv.org/abs/0706.0137
dc.identifierhttp://arxiv.org/abs/0706.0137
dc.identifierRIMS Kokyuroku 1493 (31/05/2006) 48-117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129738
dc.subjectDynamical Systems
dc.titleResurgent functions and splitting problems
dc.typetext

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