Limit Cycles of Differential Equations

This book 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.

Colin Christopher is Associate Head of School at the University of Plymouth in Devon, UK.

Chengzhi Li is Professor Emeritus at the Peking University in China.

Joan Torregrosa is Associate Professor at the Universitat Autònoma de Barcelona in Bellaterra, Spain.