Limit cycles of planar vector fields, Hilbert’s 16th problem and o-minimality

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Date(s) - 27/05/2019
14 h 00 min - 15 h 00 min

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Recent work links certain aspects of the second part of Hilbert’s 16th problem (H16) to the theory of o-minimality. One of these aspects is the generation and destruction of limit cycles in families of planar vector fields, commonly referred to as ”bifurcations”. I will outline the significance of bifurcations for H16 and explain how logic–in particular, o-minimality–can be used to understand them well enough to be able to count limit cycles.

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