Attractor Sets as C1-Manifolds
It is of some interest to determine when the attractor A(F) is a C1-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 Ck-retractions which are defined as Ck maps γ from a Banach manifold into itself such that γ2 = γ, k ≥ 1.
KeywordsVariational Equation Compact Manifold Neighborhood Versus Tubular Neighborhood Connected Manifold
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