Institut de Mathématiques de Marseille, UMR 7373




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

Lundi 27 mai 14:00-15:00 - Patrick SPEISSEGGER - McMaster University, Canada

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

Résumé : 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.

JPEG - 17.3 ko
Patrick SPEISSEGGER

Lieu : CMI, salle de séminaire R164 (1er étage) - I2M - Château-Gombert
39 rue Frédéric Joliot-Curie
13453 MARSEILLE cedex 13

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Pour en savoir plus sur cet événement, consultez l'article Séminaire Géométrie, Dynamique et Topologie (GDT)