Results 1 to 10 of about 104 (85)

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

Open Mathematics, 2022
Abstract 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 local entropies of measures for nonautonomous dynamical systems, which ...
Zhang Bin, Liu Lei
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Topological entropy dimension on subsets for nonautonomous dynamical systems

Journal of Mathematical Analysis and Applications
The topological entropy dimension is mainly used to distinguish the zero topological entropy systems. Two types of topological entropy dimensions, the classical entropy dimension and the Pesin entropy dimension, are investigated for nonautonomous dynamical systems.
Chang-Bing Li
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Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

Discrete and Continuous Dynamical Systems, 2018
We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.
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Topological entropy of nonautonomous dynamical systems [PDF]

Journal of Differential Equations, 2020
Let $\mathcal{M}(X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak$^\ast$-topology. In this paper, we prove that if the topological entropy of a nonautonomous dynamical system $(X,\{f_n\}_{n=1}^{+\infty})$ vanishes, then so does that of its induced system $(\mathcal{M}(X),\{f_n\}_{n=1}^{+\infty ...
Liu, Kairan, Qiao, Yixiao, Xu, Leiye
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Method of Limiting Differential Inclusions and Asymptotic Behavior of Systems with Relay Controls

Известия Иркутского государственного университета: Серия "Математика", 2022
In this paper, problems of asymptotic behavior of non-autonomous controlled systems with a matrix of derivatives and the feedbacks of relay type are considered.
I. A. Finogenko
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Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval [PDF]

Fundamenta Mathematicae, 1999
A nonautonomous discrete dynamical system given by a sequence of compact metric spaces \((X_{i})_{i=1}^{\infty}\) and a sequence of continuous maps \((f_{i})_{i=1}^{\infty}\), \(f_{i}: X_{i}\to X_{i+1}\) is considered. In the previous paper [Random Comput. Dyn.
Kolyada, Sergii, Misiurewicz, Michał, Snoha, Ľubomír   +2 more
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Topological entropy of nonautonomous dynamical systems on uniform spaces

Journal of Differential Equations, 2023
In this paper, we focus on some properties, calculations and estimations of topological entropy for a nonautonomous dynamical system $(X,f_{0,\infty})$ generated by a sequence of continuous self-maps $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ on a compact uniform space $X$. We obtain the relations of topological entropy among $(X, f_{0,\infty})$, its $k$-th
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Limiting Differential Inclusions and the Method of Lyapunov’s Functions

Известия Иркутского государственного университета: Серия "Математика", 2015
In article the method of research of asymptotic behaviour for solutions of the nonautonomous systems submitted in the form of differential inclusions develops.
I.A. Finogenko
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Topological transitivity of nonautonomous dynamical systems

Topology and its Applications
This paper explores the concept of topological transitivity in nonautonomous dynamical systems, which are defined as sequences of continuous maps from a compact metric space to itself. It investigates various conditions (including intersection of any pair of open sets and existence of a dense orbit) that could be taken as definitions of the ...
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Topological conjugacy for unimodal nonautonomous discrete dynamical systems

, 2020
The goal of this article is to study how combinatorial equivalence implies topological conjugacy. For that, we introduce the concept of kneading sequences for nonautonomous discrete dynamical systems and show that these sequences are a complete invariant for topological conjugacy classes.
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