Epsilon-free curvature methods for slow-fast dynamical systems

Morten Brøns 1 Mathieu Desroches 2 Maciej Krupa 2
1 Department of Mathematics
Department of Mathematics (Kongens Lyngby, Denmark)
Abstract : We study methods to compute invariant manifolds in slow-fast systems where the time scale separation is not explicit. We relate such manifolds to the existence of canard solutions in dimension 2 and 3.
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Morten Brøns, Mathieu Desroches, Maciej Krupa. Epsilon-free curvature methods for slow-fast dynamical systems. [Research Report] 2013. ⟨hal-00832547v2⟩

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