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January 23, 2026Open Access

Various notions of topological transitivity in non-autonomous and generic dynamical systems

Key Points

This research aims to explore different concepts of topological transitivity in non-autonomous discrete dynamical systems and their interrelations.
Analyzed various definitions of topological transitivity in non-autonomous systems.
Established equivalent conditions for each definition.
Investigated implications between different notions of transitivity.
Identified multiple equivalent conditions for notions of topological transitivity.
Demonstrated how rearrangements of non-autonomous systems affect transitivity concepts.

Abstract

We consider various strengthenings of the notion of topological transitivity in non-autonomous discrete dynamical systems. We give many equivalent conditions foreach of these notions and present the implications among them. We also considerrearrangements of non-autonomous dynamical systems.

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Cite This Study

Perikala et al. (Wed,) studied this question.

synapsesocial.com/papers/69730ed4c8125b09b0d1eb4f https://doi.org/https://doi.org/10.4995/agt.23256

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Journals

Applied General Topology

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