Abstract
Now we consider the situation where W u() is foliated or fibered by submanifolds corresponding to orbits that approach each other (in negative time) at the fastest rate. These will also turn out to be the initial conditions for trajectories in W u() that approach the same trajectory in (in negative time). The geometrical setup for this situation, in the sense of the construction of local coordinates near and W u(), is the same as that for the proof of the unstable manifold theorem for overflowing invariant manifolds.
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© 1994 Springer Science+Business Media New York
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Wiggins, S. (1994). Foliations of Unstable Manifolds. 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_5
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DOI: https://doi.org/10.1007/978-1-4612-4312-0_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8734-6
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