Phase portraits of the quadratic polynomial Liénard differential systems
Gouveia, Márcio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática (Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Roberto, Luci Any (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática (Brazil))

Date:	2020
Abstract:	We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems ˙ x = y, ˙ y = (ax + b)y + cx2 + dx + e, where (x,y) ∈R2 are the variables and a,b,c,d,e are real parameters.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Ministerio de Ciencia e Innovación MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quadratic system ; Liénard system ; Poincaré compactification ; Global phase portraits
Published in:	Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (March 2020) , ISSN 1473-7124

DOI: 10.1017/prm.2020.10

Postprint 17 p, 345.5 KB

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