Title	Limit cycles of planar vector fields, Hilbertâ s 16th problem and o-minimality
Creator	Speissegger, Patrick
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-06-02T09:00
Description	Recent work links certain aspects of the second part of Hilbertâ 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 â bifurcationsâ . I will outline the significance of bifurcations for H16 and explain how logicâ in particular, o-minimalityâ can be used to understand them well enough to be able to count limit cycles.
Extent	35.0 minutes
Subject	Mathematics; Mathematical logic and foundations; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: McMaster University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-11-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395098
URI	http://hdl.handle.net/2429/76615
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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