Results 41 to 50 of about 363,931 (208)
Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+
António Bento, Cristina Costa
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Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces [PDF]
Journal of Dynamics and Differential Equations, 2019 We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator.
Mazyar Ghani Varzaneh, Sebastian Riedel
semanticscholar +1 more source
A study on fuzzy tangent bundle of fuzzy Banach manifold
, 2016 In this paper, we study some of fuzzy topological and analytical properties of fuzzy tangent bundle and fuzzy cotangent bundle of fuzzy Banach manifold.
S. Halakatti, Archana Halijol
semanticscholar +1 more source
Banach Lie-Poisson spaces and reduction [PDF]
, 2003 The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W*-algebras can be considered as one of its subcategories.
Odzijewicz, Anatol, Ratiu, Tudor S.
core +2 more sources
Chaos and shadowing around a homoclinic tube
Abstract and Applied Analysis, 2003 Let F be a C3 diffeomorphism on a Banach space B. F has a homoclinic tube asymptotic to an invariant manifold. Around the homoclinic tube, Bernoulli shift dynamics of submanifolds is established through a shadowing lemma. This work removes an uncheckable
Yanguang (Charles) Li
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Entropy, 2018 Quantum information geometry studies families of quantum states by means of differential geometry. A new approach is followed with the intention to facilitate the introduction of a more general theory in subsequent work.
Jan Naudts
doaj +1 more source
On the Existence of Polynomials with Chaotic Behaviour
Journal of Function Spaces and Applications, 2013 We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces.
Nilson C. Bernardes, Alfredo Peris
doaj +1 more source
Examples of the Application of Nonparametric Information Geometry to Statistical Physics
Entropy, 2013 We review a nonparametric version of Amari’s information geometry in which the set of positive probability densities on a given sample space is endowed with an atlas of charts to form a differentiable manifold modeled on Orlicz Banach spaces.
Giovanni Pistone
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Lusternik-Schnirelman theory on Banach manifolds [PDF]
Topology, 1966 SEVERAL years ago the author, and independently Smale, generalized the Morse theory of critical points to cover certain functions on hilbert manifolds [5,6 and 91. Shortly thereafter J. Schwartz showed how the same techniques allowed one also to extend the LusternikSchnirelman theory of critical points to functions on hilbert manifolds [7].
openaire +2 more sources
Sobolev Inequalities for Differential Forms and $L_{q,p}$-cohomology [PDF]
, 2005 We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold $(M,g)$ and the $L_{q,p}$-cohomology of that manifold.
D. Gilbarg +13 more
core +4 more sources