Exchange lemmas 2: General Exchange Lemma |
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| Authors: | Stephen Schecter |
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| Institution: | Mathematics Department, North Carolina State University, Box 8205, Raleigh, NC 27695, USA |
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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. |
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| Keywords: | 34E15 34C30 |
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