Results 191 to 200 of about 361,418 (224)

Invariant Manifolds for Random Dynamical Systems on Banach Spaces Exhibiting Generalized Dichotomies

, 2020
We prove the existence of measurable invariant manifolds for small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general type of dichotomy, both for continuous and discrete time.
A. J. G. Bento, H. Vilarinho
semanticscholar   +1 more source

Integral stable manifolds in Banach spaces

Journal of the London Mathematical Society, 2008
AbstractWe establish the existence of smooth integral stable manifolds for sufficiently small perturbations of nonuniform exponential dichotomies in Banach spaces. We also consider the case of a nonautonomous dynamics given by a sequence of C1 maps.
Luis Barreira, César M. Silva, Claudia Valls   +2 more
openaire   +2 more sources

Morse theory on Banach manifolds

Acta Mathematica Sinica, 1989
LetM be aC2-Finsler manifold modeled on a Banach space, and letf be aC2-real-valued function defined onM. Using theA-gradient vector field which was introduced in [31] we give a suitable definition for nondegenegacy of critical points off, then generalize the Morse handle-body decomposition theorem and the Morse inequalities to a kind of Banach ...
openaire   +2 more sources

A Hilbert manifold structure on the Weil–Petersson class Teichmüller space of bordered Riemann surfaces

, 2015
We consider bordered Riemann surfaces which are biholomorphic to compact Riemann surfaces of genus g with n regions biholomorphic to the disk removed.
David Radnell, Eric Schippers, W. Staubach   +2 more
semanticscholar   +1 more source

Integrability of singular distributions on Banach manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
One of the key results in the work of the second author ((7), (8)) on integrability of systems of vectorfields is the theorem which relates integrability of a distribution to the concept of homogeneity. In this paper, we show that the homogeneity theorem also applies in an infinite-dimensional context, and this allows us to derive infinite-dimensional ...
Peter Stefan, D. R. J. Chillingworth
openaire   +2 more sources

A criterion for Banach manifolds to be finite-dimensional

Ukrainian Mathematical Journal, 1995
We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball.
openaire   +2 more sources

Differentiable Closed Embeddings of Banach Manifolds

1970
In this paper a manifold X is a C k -manifold which is paracompact, normal, separable, and of differentiability class k, modelled on a separable Banach space B, whose norm is a k-times continuously differentiable function outside 0∈B, k≦ ∞. B with that norm is called a C k -Banach space.
Besseline Terpstra-Keppler, Nicolaas H. Kuiper   +1 more
openaire   +2 more sources

Conic Sub-Hilbert–Finsler Structure on a Banach Manifold

Trends in Mathematics, 2019
F. Pelletier
semanticscholar   +1 more source

Deformations of Banach Coverings of Complex Manifolds

American Journal of Mathematics, 1968
Introduction. In this paper we investigate branched coverings of compact complex manifolds and, in particular, we answer certain questions connected with the deformation theory of branched coverings. Let M and W be compact complex manifolds, 311 a branched k-sheeted covering of W. The Main Theorem of ?
openaire   +2 more sources

MR‐DCAE: Manifold regularization‐based deep convolutional autoencoder for unauthorized broadcasting identification

International Journal of Intelligent Systems, 2021
Deliang Zhang, Penghui Zhao, Hongjun Wang   +2 more
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