Abstract
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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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 64, Equations of Mathematical Physics, 2009.
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Kolesov, A.Y., Rozov, N.K. Turbulent chaos. J Math Sci 164, 881–895 (2010). https://doi.org/10.1007/s10958-010-9771-x
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DOI: https://doi.org/10.1007/s10958-010-9771-x