Results 31 to 40 of about 24,818 (197)
Asymptotic Integration of Certain Differential Equations in Banach Space
Моделирование и анализ информационных систем, 2017 We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Some basic properties of infinite dimensional Hamiltonian systems [PDF]
, 1974 We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone.
Chernoff, P. R., Marsden, J. E.
core +1 more source
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
Observational Banach Manifolds
, 2014 In this paper, the concept of selective real manifolds is extended. It is proved that the product of two selective Banach manifolds is a selective Banach manifold. The notion of the $ $--level differentiation of the mappings between selective Banach manifolds is presented. Basic properties of $(r, )$--differentiable maps are studied.
Mehrpoya, Mohammad, Molaei, Mohammadreza
openaire +2 more sources
Morse theory on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1970 AbstractLet ƒ be a C2 function on a C2 Banach manifold. A critical point x of ƒ is said to be weakly nondegenerate if there exists a neighborhood U of x and a hyperbolic linear isomorphism Lx: Tx(M) → Tx(M) such that in the coordinate system of U, dƒx + v(Lxv) > 0 if v ≠ 0.
openaire +3 more sources