Abstract. A sequence of \inner equations" attached to certain perturbations
of the McMillan map was considered in , 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 . The present work relies on ideas from resur-
gence theory: we describe the formal solutions, study the analyticity of their
Borel transforms and use Ecalle's alien derivations to measure the discrepancy
between di erent Borel-Laplace sums.
CitacióMartín, P.; Sauzin, D.; Martínez-Seara, M. Resurgence of inner solutions for perturbations of the McMillan map. "Discrete and continuous dynamical systems. Series A", Setembre 2011, vol. 31, núm. 1, p. 165-207.