Abstract
We are now at the point where we can state some general results on invariant manifolds of ordinary differential equations. As mentioned earlier, we will follow Fenichel’s development of the theory since he explicitly treats the case of invariant manifolds with boundary which are often encountered in applications.
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© 1994 Springer Science+Business Media New York
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Wiggins, S. (1994). Persistence of Overflowing Invariant Manifolds— Fenichel’s Theorem. In: Normally Hyperbolic Invariant Manifolds in Dynamical Systems. Applied Mathematical Sciences, vol 105. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4312-0_3
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DOI: https://doi.org/10.1007/978-1-4612-4312-0_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8734-6
Online ISBN: 978-1-4612-4312-0
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