Limit Cycles of Differential Equations

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 Abel...

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Bibliographic Details
Main Authors: Christopher, Colin, Li, Chengzhi (Author), Torregrosa, Joan (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2024, 2024
Edition:2nd ed. 2024
Series:Advanced Courses in Mathematics - CRM Barcelona
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:IX, 238 p. 21 illus., 5 illus. in color online resource
ISBN:9783030596569