Results 11 to 20 of about 1,819 (220)

Some characterizations of disjoint topological transitivity on Orlicz spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive.
Chung-Chuan Chen, Wei-Shih Du
doaj   +3 more sources

Conceptions of topological transitivity

open access: yesTopology and Its Applications, 2012
There are several different common definitions of a property in topological dynamics called "topological transitivity," and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various equivalences are proved in different places, but the full story is difficult to find.
Ethan Akin
exaly   +5 more sources

Open and Dense Topological Transitivity of Extensions by Non-Compact Fiber of Hyperbolic Systems: A Review

open access: yesAxioms, 2015
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Torok
exaly   +5 more sources

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

open access: yesJournal of Function Spaces, 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts.
Andriy Zagorodnyuk, Zoriana Novosad
doaj   +2 more sources

Revisiting variations in topological transitivity [PDF]

open access: yesEuropean Journal of Mathematics, 2021
updated ...
Anima Nagar, Nagar Anima
exaly   +4 more sources

Topological transitivity of the normalized maps induced by linear operators [PDF]

open access: yesApplied General Topology, 2022
In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result
Pabitra Narayan Mandal
doaj   +2 more sources

Strong chain transitivity in hyperspaces of uniform spaces

open access: yesApplied General Topology
We apply topological definitions of strong chain transitivity and characterizetopological strong chain transitivity for the induced maps on hyperspaces ofuniform spaces.
Nooshin Darban Maghami   +2 more
doaj   +3 more sources

An investigation on the recurrent function of the Pythagorean fuzzy cellular topological dynamical system [PDF]

open access: yesHeliyon
This study is about Pythagorean fuzzy cellular topological dynamical system which is generated using Pythagorean fuzzy cellular space. A dynamical system receives input for a certain function and performs an iterative procedure for that same function.
Gnanachristy N B, Revathi G K
doaj   +2 more sources

Variations on the concept of topological transitivity [PDF]

open access: yesStudia Mathematica, 2016
We describe various strengthenings of the concept of topological transitivity. Especially when one departs from the family of invertible systems, a number of interesting properties arise. We present the architecture of implications among ten reasonable notions of transitivity.
Ethan Akin, Anima Nagar
exaly   +4 more sources

Cortical structural network characteristics in non-cognitive impairment end-stage renal disease [PDF]

open access: yesFrontiers in Neuroscience
ObjectiveExplore alterations in topological features of gray matter volume (GMV) and structural networks in non-cognitive impairment end-stage renal disease (Non-CI ESRD).Materials and methodsUtilizing graph theory, we collected structural magnetic ...
Yimin Wang   +6 more
doaj   +2 more sources

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