Limit Cycles of Differential Equations
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Beschreibung
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.
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.
Gives a survey of current areas of active research Written in an approachable manner suitable for graduate students Provides updates, further clarifications and remarks
Autor*in
Colin Christopher
Themen in »Limit Cycles of Differential Equations«
Abelian integral Center-focus problem Differential equation Hilbert's 16th problem Limit cycle dynamical systems