Exchange lemmas 2: General Exchange Lemma

By Stephen Schecter. 2008

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Abstract Exchange lemmas are used in geometric singular perturbation theory to track flows near normally hyperbolic invariant manifolds. We prove a General Exchange Lemma, and show that it implies versions of existing exchange lemmas for rectifiable slow flows and loss-of-stability turning points.

Subfields: Control and Systems Engineering, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/746c5730036e8298bc4219def6c27499fa0870c3