Limit Cycles of Differential Equations

• Main Authors: Christopher, Colin (Author), Li, Chengzhi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Advanced Courses in Mathematics CRM Barcelona
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.
• Physical Description: VIII, 171 p. online resource.
• ISBN: 9783764384104

This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems.