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I will prove a recurrence theorem which says that any Hs (s > 2)solution to the 2D inviscid channel flow returns repeatedly to an arbitrarily small H0 neighborhood. Periodic boundary condition is impo...
Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of network...
Various issues with regard to chaos and recurrence in infinite dimensions are discussed. The doctrine we are trying to derive is that Sobolev spaces over bounded spatial domains do host chaos and recu...

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