Abstract
It is of some interest to determine when the set A(F) of an RFDE F is a C 1-manifold, since it will then have a particularly simple geometric structure which will facilitate the study of qualitative properties of the flow. Results in this direction can be established through the use of C k-retractions which are defined as C k maps Υ from a Banach manifold into itself such that Υ2=Υ, k ≥ 1.
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© 2002 Springer Science+Business Media New York
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Hale, J.K., Magalhães, L.T., Oliva, W.M. (2002). Attractor Sets as C 1-Manifolds. In: Dynamics in Infinite Dimensions. Applied Mathematical Sciences, vol 47. Springer, New York, NY. https://doi.org/10.1007/0-387-22896-9_9
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DOI: https://doi.org/10.1007/0-387-22896-9_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3012-5
Online ISBN: 978-0-387-22896-9
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