Explore the fascinating realm of limit cycles in differential equations with this comprehensive textbook from The Bookish Owl. Originally stemming from an advanced course at the Centre de Rechercha Mathematica Barcelona, this volume delves into the critical center-focus problem for polynomial vector fields and the intricate application of abelian integrals to limit cycle bifurcations. Ideal for researchers and students of dynamical systems, this book offers profound insights relevant to Hilbert’s sixteenth problem and the broader qualitative theory. Enhance your understanding of differential equations with this essential academic resource, carefully curated for serious study and exploration.