Continuum-wise expansive Non-Autonomous Discrete Systems
Radhika Vasisht, Ruchi Das
TL;DR
This paper investigates continuum-wise expansive properties of non-autonomous discrete dynamical systems, establishing key results and equivalences, especially concerning shadowing properties, to deepen understanding of their complex behaviors.
Contribution
It introduces new results linking continuum-wise expansiveness with shadowing in non-autonomous systems, providing a significant theoretical advancement.
Findings
Established equivalence involving shadowing property
Analyzed properties of continuum-wise expansive non-autonomous systems
Provided theoretical results enhancing understanding of system dynamics
Abstract
In this paper, we study continuum-wise expansive non-autonomous discrete dynamical systems. We discuss various properties of such non-autonomous systems. We further obtain results for cw-expansive non-autonomous systems with shadowing property and obtain an important equivalence. \keywords{Non-autonomous dynamical systems, continuum-wise expansive, shadowing property
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Taxonomy
TopicsMathematical Dynamics and Fractals · Cellular Automata and Applications · Computability, Logic, AI Algorithms