Authors:
- Gives a survey of current areas of active research
- Written in an approachable manner suitable for graduate students
- Includes supplementary material: sn.pub/extras
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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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
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.
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Authors and Affiliations
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School of Mathematics and Statistics, University of Plymouth, Plymouth, UK
Colin Christopher
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School of Mathematical Sciences, Beijing University, Beijing, China
Chengzhi Li
Bibliographic Information
Book Title: Limit Cycles of Differential Equations
Authors: Colin Christopher, Chengzhi Li
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-7643-8410-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
eBook ISBN: 978-3-7643-8410-4Published: 09 August 2007
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: VIII, 171
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory