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- W2034133793 startingPage "165" @default.
- W2034133793 abstract "A sequence of 'inner equations' attached to certain perturbations of the McMillan map was considered in [5], 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 [5]. The present work relies on ideas from resurgence theory: we describe the formal solutions, study the analyticity of their Borel transforms and use Écalle's alien derivations to measure the discrepancy between different Borel-Laplace sums." @default.
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- W2034133793 date "2011-01-01" @default.
- W2034133793 modified "2023-10-17" @default.
- W2034133793 title "Resurgence of inner solutions for perturbations of the McMillan map" @default.
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- W2034133793 doi "https://doi.org/10.3934/dcds.2011.31.165" @default.
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