Results 1 to 10 of about 22 (22)

The structure of fuzzy fractals generated by an orbital fuzzy iterated function system

open access: yesDemonstratio Mathematica, 2023
In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina   +2 more
doaj   +1 more source

A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems

open access: yesOpen Mathematics, 2022
This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
doaj   +1 more source

A bridge theorem for the entropy of semigroup actions

open access: yesTopological Algebra and its Applications, 2020
The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
doaj   +1 more source

Functional envelope of a non-autonomous discrete system

open access: yesNonautonomous 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
doaj   +1 more source

Iterated Function Systems Consisting of Generalized Convex Contractions in the Framework of Complete Strong b-metric Spaces

open access: yesAnnals 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
doaj   +1 more source

Relative Nielsen Numbers, Braids and Periodic Segments

open access: yesAdvanced 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
doaj   +1 more source

Attractors of dynamical systems in locally compact spaces

open access: yesOpen 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
doaj   +1 more source

Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics

open access: yesTopological 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.
doaj   +1 more source

On a notion of entropy in coarse geometry

open access: yesTopological 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
doaj   +1 more source

Chaos in Duopoly Games via Furstenberg Family Couple

open access: yesComplexity, 2019
Assume that H1 and H2 are two given closed subintervals of ℝ and that f2:H1⟶H2 and f1:H2⟶H1 are continuous maps. Let ϒh1,h2=f1h2,f2h1 be a Cournot map over the space H1×H2. In this paper, we study G1,G2-chaos (resp.
Yu Zhao, Risong Li
doaj   +1 more source

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