Results 71 to 80 of about 131 (122)
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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Journal of Functional Analysis, 2003 A (bounded) operator \(T\) on a complex infinite-dimensional separable Banach space \(X\) is said to be hypercyclic if there is a (hypercyclic) vector \(x \in X\) such that its orbit \(O(T,x):=\{x,Tx,T^2x,\dots\}\) is dense in \(X\). The operator \(T\) is called chaotic if it is hypercyclic and the set of periodic points of \(T\) is dense in \(X ...
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ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
Journal of Mathematical Analysis and ApplicationsFor every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).
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Hypercyclic Composition Operators
Journal of Vasyl Stefanyk Precarpathian National University, 2015 In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions
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On the Epsilon Hypercyclicity of a Pair of Operators
Journal of Mathematical Extension, 2011 In this paper we prove that if a pair of operators is - hypercyclic for all > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
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Hypercyclic and Cyclic Vectors
Journal of Functional Analysis, 1995 Let \(\mathcal X\) denote a separable complex Banach space. A vector \(x\in {\mathcal X}\) is said to be hypercyclic for an operator \(T\) on \(\mathcal X\) if the set \(\{T^n x: n\in \mathbb{N}\}\) is norm dense in \(\mathcal X\). We say that \(x\) is supercyclic if the set \(\{aT^n x: n\in \mathbb{N}, a\in \mathbb{C}\}\) is norm dense. An operator is
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Cyclic variations in the dynamics of flu incidence in Azerbaijan, 1976-2000. [PDF]
Epidemiol Infect, 2015 Dimitrov BD, Babayev ES.
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Dynamics and transitions in symmetric hypercycles: the role of the hypercycle size
, 2016 The symmetric hypercycle with error tail has been widely studied both numerically and analytically in the last years, but there are still many open questions. In this work we will try to give an answer for a few of these questions. Namely we reproduce in higher dimensions a study of the possible coincidence of saddle-node bifurcations for equilibrium ...
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