Abstract
Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The existence of a B-pullback attractor in the problem of microwave heating of a material is proved. The notion of almost periodic integral for a cocycle is introduced, and the existence of such an integral for a certain class of cocycles is proved.
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Ermakov, I.V., Kalinin, Y.N. & Reitmann, V. Determining modes and almost periodic integrals for cocycles. Diff Equat 47, 1837–1852 (2011). https://doi.org/10.1134/S0012266111130015
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DOI: https://doi.org/10.1134/S0012266111130015