Results 11 to 20 of about 64 (50)

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
doaj   +2 more sources

Topologically mixing extensions of endomorphisms on Polish groups

Applied General Topology, 2022
In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing.
John Burke, Leonardo Pinheiro
doaj   +1 more source

Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou, Yuxia Liang, Francisco J. Garcia Pacheco   +2 more
wiley   +1 more source

Topological mixing and Hypercyclicity Criterion for sequences of operators [PDF]

Proceedings of the American Mathematical Society, 2006
For a sequence { T n }
Chen, Jeng-Chung, Shaw, Sen-Yen
openaire   +1 more source

On the Recurrent C0‐Semigroups, Their Existence, and Some Criteria

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, recurrent C0‐semigroups are introduced and investigated. It is proved that, despite hypercyclic C0‐semigroups, recurrent C0‐semigroups can be found on finite‐dimensional Banach spaces. Some criteria are stated for recurrence, which is based on open sets, neighborhoods of zero, and special eigenvectors.
Mansooreh Moosapoor, Tuncer Acar
wiley   +1 more source

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk, Zoriana Novosad, Ismat Beg   +2 more
wiley   +1 more source

A quantitative interpretation of the frequent hypercyclicity criterion [PDF]

Ergodic Theory and Dynamical Systems, 2017
We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$-frequently hypercyclic, where $A$ refers to some weighted densities sharper than the natural lower density.
Ernst, Romuald, Mouze, Augustin
openaire   +2 more sources

Conditions for hypercyclicity criterion

International Journal of Contemporary Mathematical Sciences, 2006
We give necessary and sufficient conditions for an operator on a separable Hilbert space satisfies the Hypercyclicity Criterion.
B. Yousefi, H. Rezaei
openaire   +1 more source

On the Hypercyclicity Criterion for operators of Read's type [PDF]

, 2019
Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, i.e. that $T$ satisfies the Hypercyclicity Criterion.
openaire   +3 more sources

A remark on the frequent hypercyclicity criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation [PDF]

Mathematische Nachrichten, 2014
12 ...
openaire   +4 more sources