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Entry-exit in the halo of a slow semi-stable curve

Published 19 Mar 2022 in math.DS | (2203.10357v1)

Abstract: We consider a slow-fast differential system (SF) in dimension two which appears in the study of some linear model (LM) with periodic coefficients in population dynamics. We show existence of "canard solutions" of (SF) along semi-stable slow curve which explains some stability properties of (LM) when the period tends to infinity.

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