Overview
- Gives a survey of current areas of active research
- Written in an approachable manner suitable for graduate students
- Provides updates, further clarifications and remarks
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (14 chapters)
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Front Matter
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Around the Center-Focus Problem
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Front Matter
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Back Matter
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Abelian Integrals and Applications to the Weak Hilbert’s 16th Problem
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Limit Cycles of Differential Equations
Authors: Colin Christopher, Chengzhi Li, Joan Torregrosa
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-030-59656-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2024
Softcover ISBN: 978-3-030-59655-2Published: 23 January 2024
eBook ISBN: 978-3-030-59656-9Published: 22 January 2024
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 2
Number of Pages: IX, 238
Number of Illustrations: 16 b/w illustrations, 5 illustrations in colour
Topics: Analysis, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control