# Continuum-wise expansive Non-Autonomous Discrete Systems

**Authors:** Radhika Vasisht, Ruchi Das

arXiv: 1906.00209 · 2019-06-17

## 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.

## Key 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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Source: https://tomesphere.com/paper/1906.00209