Specification and ω-chaos in non-compact systems

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Authors

Hammon, Cordell
Meddaugh, Jonathan
Mohn, Jasmin
Raines, Brian

Issue Date

2025-03

Type

journal-article

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Keywords

Specification , ω-chaos

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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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Citation

Hammon, C., Meddaugh, J., Mohn, J., & Raines, B. (2025). Specification and ω-chaos in non-compact systems. Journal of Mathematical Analysis and Applications 543.2. doi: https://doi.org/10.1016/j.jmaa.2024.128944.

Publisher

Elsevier BV

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PubMed ID

ISSN

0022-247X

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