Specification and ω-chaos in non-compact systems
classification
🧮 math.DS
keywords
chaosexhibitsomegasystemspecificationclosuresconditionsdemonstrate
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In this paper, we demonstrate conditions under which a Lindel\"{o}f dynamical system exhibits $\omega$-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 $\omega$-chaos.
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