We have begun to study hyperbolic invariant sets. Before we continue we must generalize our definitions in the case of a fixed point, to allow us to work in an arbitrary Banach space.
KeywordsBanach Space Lipschitz Function Global Stability Unstable Manifold Stable Manifold
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- [5.1]Hirsch, M. W., Pugh, C. C. and Shub, M., Invariant Manifolds, Lecture Notes in Mathematics, No. 583, Springer-Verlag, New York, 1976.Google Scholar
© Springer-Verlag Berlin Heidelberg 1987