Unstable Manifolds of Continuous Self-Mappings
نویسندگان
چکیده
منابع مشابه
Non-separable Hilbert Manifolds of Continuous Mappings
Using Toruńczyk’s charaterization theorem, we show that the space CB(X,Y ) of bounded continuous mappings from X into Y is a topological manifold modelled on the Hilbert space of weight 20 , with respect to the topology of uniform convergence, under the following three assumptions: (1) X is a noncompact, separable and metrizable space, (2) Y is a complete metric space which is an ANRU (ANR in u...
متن کاملConformal mappings preserving the Einstein tensor of Weyl manifolds
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...
متن کاملFractal Dimension of Graphs of Typical Continuous Functions on Manifolds
If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.
متن کاملExponentially small oscillation of 2-dimensional stable and unstable manifolds in 4-dimensional symplectic mappings
Homoclinic bifurcation of 4-dimensional symplectic mappings is asymptotically studied. We construct the 2-dimensional stable and unstable manifolds near the submanifolds which experience exponentially small splitting, and successfully obtain exponentially small oscillating terms in the 2-dimensional manifolds. ∗ E-mail address: [email protected] 1 typeset using PTPTEX.sty <ver...
متن کاملParametrizing Unstable and Very Unstable Manifolds
Existence and uniqueness theorems for unstable manifolds are well-known. Here we prove certain refinements. Let f : (C, 0) → C be a germ of an analytic diffeomorphism, whose derivative Df(0) has eigenvalues λ1, . . . , λn such that |λ1| ≥ · · · ≥ |λk| > |λk+1| ≥ · · · ≥ |λn|, with |λk| > 1. Then there is a unique k-dimensional invariant submanifold whose tangent space is spanned by the generali...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Chaos
سال: 2013
ISSN: 2314-6605
DOI: 10.1155/2013/181238