Results 11 to 20 of about 852 (63)

Functional envelope of a non-autonomous discrete system

Nonautonomous Dynamical Systems, 2017
Let (X, F = {fn}n =0∞) be a non-autonomous discrete system by a compact metric space X and continuous maps fn : X → X, n = 0, 1, ....We introduce functional envelope (S(X), G = {Gn}n =0∞), of (X, F = {fn}n =0∞), where S(X) is the space of all continuous ...
Barzanouni Ali
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Iterated Function Systems Consisting of Generalized Convex Contractions in the Framework of Complete Strong b-metric Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik.
Georgescu Flavian
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Auslander Systems [PDF]

, 1997
The authors generalize the dynamical system constructed by J. Auslander in 1959, resulting in perhaps the simplest family of examples of minimal but not strictly ergodic systems. A characterization of unique ergodicity and mean-L-stability is given.
Haddad, K. N., Johnson, Aimee S. A.
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Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics

Topological Algebra and its Applications, 2019
The main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves ...
Shoptrajanov M.
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On a notion of entropy in coarse geometry

Topological Algebra and its Applications, 2019
The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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Attractors of dynamical systems in locally compact spaces

Open Mathematics, 2019
In this article the properties of attractors of dynamical systems in locally compact metric space are discussed. Existing conditions of attractors and related results are obtained by the near isolating block which we present.
Li Gang, Gao Yuxia
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Bowen entropy for actions of amenable groups [PDF]

, 2016
Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's entropy for amenable group action dynamical systems and show that under the tempered condition, the ...
Chen, Ercai, Zheng, Dongmei
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The Global Structure of Totally Disconnected Locally Compact Polish Groups, The University of Illinois at Chicago, USA, 2014. Supervised by Christian Rosendal

Bulletin of Symbolic Logic, 2018
prepared by Zanyar A. Ameen and Mirna Džamonja E-mail: zanyar@uod.ac URL: https://ueaeprints.uea.ac.uk/56864/1/2015AmeenZAPhD.pdf MichealPawliuk,Amenability andUniqueErgodicity of theAutomorphismGroups of all Countable Homogeneous Directed Graphs ...
Phillip R. Wesolek
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Amenability and Unique Ergodicity of the Automorphism Groups of all Countable Homogeneous Directed Graphs, University of Toronto, Canada, 2015. Supervised by Vladimir Pestov and Stevo Todorcevic

Bulletin of Symbolic Logic, 2018
prepared by Zanyar A. Ameen and Mirna Džamonja E-mail: zanyar@uod.ac URL: https://ueaeprints.uea.ac.uk/56864/1/2015AmeenZAPhD.pdf MichealPawliuk,Amenability andUniqueErgodicity of theAutomorphismGroups of all Countable Homogeneous Directed Graphs ...
M. Pawliuk
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Relative Nielsen Numbers, Braids and Periodic Segments

Advanced Nonlinear Studies, 2017
The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
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