Multi-Transitivity with Respect to a Vector in Non-Autonomous Discrete Dynamical Systems
Functional Analysis
2023-05-26 v1
Abstract
The aim of this research is to introduce the notion of multi-transitivity in non-autonomous discrete dynamical systems(NDDS) with respect to a vector. Necessary and sufficient conditions are obtained under which a NDDS is multitransitive and strongly multi-transitive. Examples and counter-examples are constructed to justify that results in Remark 3.7 [1] what is true in autonomous discrete dynamical systems(ADDS) need not be true in NDDS. Also, an affirmative answer to the question posed by Salman and Das [9] is given. Finally, the Furstenberg family generated by a vector characterises multi-transitivity with respect to a vector for NDDS is obtained.
Keywords
Cite
@article{arxiv.2305.15995,
title = {Multi-Transitivity with Respect to a Vector in Non-Autonomous Discrete Dynamical Systems},
author = {Neelam Shah Jahan},
journal= {arXiv preprint arXiv:2305.15995},
year = {2023}
}