Frequently hypercyclic abstract higher-order differential equations [PDF]
, 2018 In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
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Recurrency on the Space of Hilbert-Schmidt Operators
مجلة بغداد للعلومIn this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
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Some recent work in Frechet geometry
, 2011 Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
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Densely hereditarily hypercyclic sequences and large hypercyclic manifolds [PDF]
Proceedings of the American Mathematical Society, 1999 We prove in this paper that if ( T n ) (T_{n}) is a hereditarily hypercyclic sequence of continuous linear mappings between two topological vector spaces X X and Y Y , where Y Y is metrizable, then there is an ...
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Mean Li-Yorke chaos in Banach spaces
, 2018 We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C. +2 more
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Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates [PDF]
, 2009 Alexander S. Bratus +2 more
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Subspace-diskcyclic sequences of linear operators [PDF]
Sahand Communications in Mathematical Analysis, 2017 A sequence ${T_n}_{n=1}^{infty}$ of bounded linear operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
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D-HYPERCYCLIC AND D-CHAOTIC PROPERTIES OF ABSTRACT DIFFERENTIAL EQUATIONS OF FIRST ORDER CHUNG-CHUAN CHEN, MARKO KOSTIC, STEVAN PILIPOVI ´ C AND DANIEL VELINOV [PDF]
, 2018 openalex +1 more source
Topologically transitive skew-products of backward shift operators and hypercyclicity [PDF]
, 2007 George Costakis, Demetris Hadjiloucas
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Fast orbital convergence reveals more hypercyclic vectors
Applied General TopologyLet X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
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