Results 41 to 50 of about 92,426 (217)
Infinite Dimensional Quantum Information Geometry [PDF]
We present the construction of an infinite dimensional Banach manifold of quantum mechanical states on a Hilbert space H using different types of small perturbations of a given Hamiltonian.
Grasselli, M. R.
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Vitali properties of Banach analytic manifolds [PDF]
29 ...
Nguyen Van Khue+2 more
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On the generalization of the Darboux theorem
Darboux theorem to more general context of Frechet manifolds we face an obstacle: in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
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On the global stable manifold [PDF]
We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general ...
Abbondandolo, Alberto, Majer, Pietro
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Conjugacy of a Discrete Semidynamical System in a Neighbourhood of the Nontrivial Invariant Manifold
The conjugacy of a discrete semidynamical system and its partially decoupled discrete semidynamical system in a Banach space is proved in a neighbourhood of the nontrivial invariant manifold.
Andrejs Reinfelds
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Asymptotic Integration of Certain Differential Equations in Banach Space
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
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Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies
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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Integrability of weak distributions on Banach manifolds [PDF]
This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under which these distributions admit weak integral submanifolds. We give some applications to Banach Lie algebroid and Banach Lie-Poisson manifold.
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Invariant manifolds for flows in Banach spaces
On presente une theorie des varietes invariantes lisses basee sur la methode classique de Lyapunov-Penon pour des semi-flots continus dans des espaces de ...
Shui-Nee Chow, Kening Lu
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On the Existence of Polynomials with Chaotic Behaviour
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
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