Specification and ω-chaos in non-compact systems
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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| Veröffentlicht in: | Journal of mathematical analysis and applications 2025-03, Vol.543 (2), p.128944, Article 128944 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2024.128944 |