English

Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality

Logic 2018-04-11 v1 Dynamical Systems

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 Universit\"at Konstanz in June 2017.

Cite

@article{arxiv.1804.03585,
  title  = {Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality},
  author = {Patrick Speissegger},
  journal= {arXiv preprint arXiv:1804.03585},
  year   = {2018}
}

Comments

10 pages, 2 figures. To appear in the Oberwolfach "Snapshots in Modern Mathematics" series

R2 v1 2026-06-23T01:19:29.706Z