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.
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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.
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.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 willbeof interest to students and researchers workingin the qualitative theory of dynamical systems.This secondedition provides updates, further clarifications and remarks, and includes an expanded list of references. Bestandsnummer des Verkäufers 9783030596552
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 248 pp. Englisch. Bestandsnummer des Verkäufers 9783030596552
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