Specification and ω-chaos in non-compact systems

2023/05/25 by Hammon, Cordell, Meddaugh, Jonathan, Mohn, Jasmin +1 · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.16168

Abstract

In this paper, we demonstrate conditions under which a Lindelöf dynamical system exhibits ω-chaos. In particular, if a system exhibits a generalized version of the specification property and has at least three points with mutually separated orbit closures, then the system exhibits dense ω-chaos.

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