Turbulent chaos
A new definition of a chaotic invariant set for a continuous semi-flow in a metric space is given. This definition generalizes the known definition of Devaney and allows us to take into account a specific feature arising in a noncompact and infinite-dimensional case, the so-called turbulent chaos.
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-02, Vol.164 (6), p.881-895 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | A new definition of a chaotic invariant set for a continuous semi-flow in a metric space is given. This definition generalizes the known definition of Devaney and allows us to take into account a specific feature arising in a noncompact and infinite-dimensional case, the so-called turbulent chaos. |
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| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-010-9771-x |