2 problems

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Takens' conjecture on determining functionals for dissipative PDEs
Takens' conjecture. The number of determining functionals should be very small; in a generic situation, one has
Conjectureopendetermining-functionals dissipative-pdesarXiv posted 2 days ago
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Finite determining set conjecture for the entire flow-plate dynamics
Finite determining set conjecture. There exists a set $\mathbb L$ which is a finite determining set for the entire dynamics $(S_t,Y)$ .
Conjectureopendetermining-functionals dynamical-systems flow-plate-equationsarXiv posted 2 days ago

Takens' conjecture on determining functionals for dissipative PDEs