EAN: 9783030596552

ADVANCED COURSES IN MATHEMATICS - CRM BARCELONA...

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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