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

Chiranjeevi Perikala

https://orcid.org/0009-0003-8586-1837

India

University of Hyderabad image/svg+xml

School of Mathematics and Statistics

Rameshwari Gupta

https://orcid.org/0009-0005-6355-622X

India

University of Hyderabad

School of Mathematics and Statistics

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Accepted: 2025-10-13

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Published: 2025-12-17

DOI: https://doi.org/10.4995/agt.23256
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Keywords:

Non-autonomous discrete dynamical system, Transitivity, Mixing, Locally eventually onto, Generic dynamical system

Supporting agencies:

The second author would like to thank University Grants Commission, INDIA for providing fellowship under NFOBC scheme [Ref. NO.:221610064995].

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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References:

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