Results 81 to 90 of about 990 (118)

Hypercycle

PLOS Computational Biology, 2016
Natalia Szostak, Szymon Wasik, Jacek Blazewicz   +2 more
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Advanced Extensions and Applications of Transitivity and Mixing in Set-Valued Dynamics With Numerical Simulations and Visual Insights

Journal of Applied Mathematics
This article extends Alfredo Peris’s work on chaos in set-valued dynamics by providing new characterizations and applications of transitivity and mixing properties.
Illych Alvarez
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Hypercyclic rings [PDF]

Pacific Journal of Mathematics, 1968
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Perturbations of hypercyclic vectors

Journal of Mathematical Analysis and Applications, 2002
A bounded linear operator \(T\) on a separable Banach space \(\mathcal B\) is said to be hypercyclic if there is \(x \in \mathcal B\), also called hypercyclic, such that the elements in the orbit \(\{T^ n x\}_{n\geq 0}\) are dense in \(\mathcal B\). Hypercyclicity is one of the strongest forms of cyclicity. \textit{S. Rolewicz} [Stud. Math. 32, 17--22 (
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Cyclic variations in the dynamics of flu incidence in Azerbaijan, 1976-2000. [PDF]

Epidemiol Infect, 2015
Dimitrov BD, Babayev ES.
europepmc   +1 more source

Sums of hypercyclic operators

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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Hypercyclicity of Some Function Spaces

Journal of Mathematical Extension, 2008
Bahmann Yousefi
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EVERY WEAKLY SEQUENTIALLY HYPERCYCLIC SHIFT IS NORM HYPERCYCLIC

Mathematical Proceedings of the Royal Irish Academy, 2005
The author show that a bilateral weighted shift on \(\ell^p(\mathbb Z)\) is weakly sequentially supercyclic if and only if it is norm hypercyclic. In particular, it also follows that they are weakly sequentially hypercyclic if and only if they are hypercyclic.
Bès, Juan, Chan, Kit C., Sanders, Rebecca   +2 more
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Multi-hypercyclic operators are hypercyclic

Mathematische Zeitschrift, 2001
An operator \(T\) on a separable complex Hilbert space \(\mathcal H\) space is said to be hypercyclic if there is a vector \(x\) such that the orbit \(\{T^nx: n=0,1,\ldots\}\) is dense in \(\mathcal H\). An operator is said to be supercyclic if there is a vector \(x\) such that the scalar multiples of the elements in the orbit are dense in \(\mathcal H\
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Syndetically Hypercyclic Operators

Integral Equations and Operator Theory, 2005
A sequence \((T_n)_{n\geq 0}\) of bounded operators on a separable \(\mathcal{F}\)-space \(X\) is hypercyclic if there exists a vector \(x\) in \(X\) such that the set \(\{T_n x \; ; \; n\geq 0\}\) is dense in \(X\). An operator \(T\) on \(X\) is hypercyclic if the sequence \((T^n)_{n\geq 0}\) of its powers is hypercyclic.
Peris, Alfredo, Saldivia, Luis
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