Download or read book Limit Cycles of Differential Equations written by Colin Christopher and published by Springer Science & Business Media. This book was released on 2007-08-09 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.