Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality
Abstract
I discuss some recent work linking certain aspects of the second part of Hilbert's 16th problem to the theory of \hbox{o-minimality}. These notes are adapted from a lecture I gave in the Jour fixe seminar series at the Zukunfts\-kolleg of Universität Konstanz in June 2017.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- arXiv:
- arXiv:1804.03585
- Bibcode:
- 2018arXiv180403585S
- Keywords:
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- Mathematics - Logic;
- Mathematics - Dynamical Systems
- E-Print:
- 10 pages, 2 figures. To appear in the Oberwolfach "Snapshots in Modern Mathematics" series