Generalizations of expansiveness in Non-Autonomous Discrete Systems

2019/05/24 by Vasisht, Radhika, Das, Ruchi · 1 citation
#37B55 #54B20 (Secondary) #54H20 (Primary) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1905.10061

Abstract

In this paper, we define and study generalizations of expansiveness, namely n- expansiveness, ℵ₀-expansiveness, continuum-wise expansive and meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties of such non-autonomous systems and give necessary examples. We prove results related to non-existence of ℵ₀-expansive and meagre expansive non-autonomous system on certain spaces. We also study relation between ℵ₀-expansive and meagre-expansive non-autonomous systems.

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• Several stronger forms of transitivity in non-autonomous discrete dynamical systems

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