This talk is a survey, aimed at a general mathematical audience, on which I
will describe a very interesting and highly non-trivial phenomenon of
essential coexistence of chaotic (highly complicated) and regular
(relatively simple) behavior on dynamics. In the absence of general theory
the coexistence phenomenon has been shown in some particular cases. I will
present the contemporary state of the art in this area with emphasis on
some new examples in smooth conservative dynamics.
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Last modified: April 11 2016 - 18:14:43