Limit Cycles of Differential Equations (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

Christopher, Colin; Li, Chengzhi; Torregrosa, Joan

Softcover

ISBN 10: 3030596559 ISBN 13: 9783030596552

Publisher: Birkhäuser, 2024

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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.

This second edition provides updates, further clarifications and remarks, and includes an expanded list of references.

Edition details

• Publisher: Birkhäuser
• Publication date: 2024
• Language: English
• ISBN 10: 3030596559
• ISBN 13: 9783030596552
• Binding: Paperback
• Edition number: 2
• Number of pages: 247