Hilbert's sixteenth problem for polynomial Liénard equations
Caubergh, Magdalena (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
Abstract:	This article reports on the survey talk 'Hilbert's Sixteenth Problem for Liénard equations,' given by the author at the Oberwolfach Mini-Workshop 'Algebraic and Analytic Techniques for Polynomial Vector Fields. ' It is written in a way that it is accessible to a public with heterogeneous mathematical background. The article reviews recent developments and techniques used in the study of Hilbert's 16th problem where the main focus is put on the subclass of polynomial vector fields derived from the Liérd equations.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Planar vector fields ; Periodic orbits ; Compactification ; Large amplitude limit cycles ; Liénard equations
Published in:	Qualitative theory of dynamical systems, Vol. 11, Issue 1 (April 2012) , p. 3-18, ISSN 1662-3592

DOI: 10.1007/s12346-012-0068-y

Postprint 16 p, 463.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles