Attractor Sets as C1-Manifolds
- 470 Downloads
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.
KeywordsGlobal Solution Invariant Manifold Compact Manifold Neighborhood Versus Tubular Neighborhood
Unable to display preview. Download preview PDF.