Geometric Singular Perturbations for Multiple Turning Points: Invariant Manifolds and Exchange Lemmas |
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Authors: | Weishi Liu |
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Institution: | (1) Department of Mathematics, University of Kansas, 1460 Jayhawk Boulevard, Room 405, Lawrence, Kansas 66045-7523, USA |
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Abstract: | In this paper, we consider singularly perturbed systems with multiple sets of turning points. Two types of related results contributing to geometric singular perturbation theory are obtained. The first result establishes a new class of invariant manifolds. The second result consists of several exchange lemmas that characterize the evolution of an invariant manifold passing through the vicinity of the slow manifold.Partially supported by NSF Grants DMS-0071931 and DMS-0406998. |
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Keywords: | Turning points invariant manifolds exchange lemma |
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