Detailed Information on Publication Record
2024
Transitivity in nonautonomous systems generated by a uniformly convergent sequence of maps
MLÍCHOVÁ, Michaela and Vojtěch PRAVECBasic information
Original name
Transitivity in nonautonomous systems generated by a uniformly convergent sequence of maps
Authors
MLÍCHOVÁ, Michaela and Vojtěch PRAVEC
Edition
Topology and its Applications, Amsterdam, Elsevier B.V. 2024, 0166-8641
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.600 in 2022
Organization unit
Mathematical Institute in Opava
UT WoS
001230342200001
Keywords in English
Collective convergence; Nonautonomous dynamical systems; Systems generated by a uniformly convergent sequence of maps; Topological transitivity
Tags
Tags
International impact, Reviewed
Změněno: 20/1/2025 13:12, Mgr. Aleš Ryšavý
Abstract
V originále
Let (X, d) be a metric space and f1,infinity = {fn}infinity i=0 be a sequence of continuous maps fn : X -> X such that (fn) converges uniformly to a continuous map f. We investigate which conditions ensure that the transitivity of functions fn or the transitivity of the nonautonomous system (X, f1,infinity) is inherited to the limit function f and vice versa. Such problem has been studied for instance by A. Fedeli, A. Le Donne or J. Li who give different sufficient condition for inheriting of transitivity from fn to f. In this paper we give a survey of known result relating to this problem and prove new results concerning transitivity.