2pm - 3pm
Friday 7 October 2016

Determining functionals and finite-dimensional reduction revisited

Sergey Zelik (Surrey) will be speaking.

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We will discuss the old and new results concerning the recovering of infinite-dimensional dynamics by finite many determining functionals.

In particular, it will be shown that under the relatively weak assumptions, the dynamics of a "generic" dissipative system can be recovered by a single non-linear functional. The examples of infinite-dimensional and even non-dissipative dynamics generated by PDEs with a single determining mode will be also given.