Hilbert's sixteenth problem for polynomial Liénard equations

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 h...

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Detalhes bibliográficos
Autor: Caubergh, Magdalena|||0000-0001-7358-2839
Formato: artículo
Fecha de publicación:2012
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:228095
Acesso em linha:https://ddd.uab.cat/record/228095
https://dx.doi.org/urn:doi:10.1007/s12346-012-0068-y
Access Level:acceso abierto
Palavra-chave:Planar vector fields
Periodic orbits
Compactification
Large amplitude limit cycles
Liénard equations
Descrição
Resumo: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.