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Gives a survey of current areas of active research
Written in an approachable manner suitable for graduate students
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.
Content Level »Research
Keywords »Abelian integral - Center-focus problem - Differential equation - Hilbert's 16th problem - Limit cycle - dynamical systems