Resurgence of inner solutions for perturbations of the McMillan map
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Cita com:
hdl:2117/7712
Tipus de documentReport de recerca
Data publicació2009-12
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
A sequence of “inner equations” attached to certain perturbations of the
McMillan map was considered in [MSS09], their solutions were used in that
article to measure an exponentially small separatrix splitting. We prove here
all the results relative to these equations which are necessary to complete the
proof of the main result of [MSS09]. The present work relies on ideas from resurgence
theory: we describe the formal solutions, study the analyticity of their
Borel transforms and use ´Ecalle’s alien derivations to measure the discrepancy
between different Borel-Laplace sums.
Forma part[prepr200913MarSMS]
URL repositori externhttp://www.ma1.upc.edu/recerca/preprints2009.html
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prepr200904seara.pdf | 451,3Kb | Visualitza/Obre |