Phase portraits of the quadratic polynomial Liénard differential systems

Márcio R.A. Gouveia; Jaume Llibre; Luci Any Roberto

doi:10.1017/prm.2020.10

Phase portraits of the quadratic polynomial Liénard differential systems

Márcio R.A. Gouveia, Jaume Llibre, Luci Any Roberto

Departament de Matemàtiques

São Paulo State University

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

2 Cites (Scopus)

Resum

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) ϵ ℝ2 are the variables and a,b,c,d,e are real parameters.

Idioma original	Anglès
Pàgines (de-a)	202-216
Nombre de pàgines	15
Revista	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volum	151
Número	1
DOIs	https://doi.org/10.1017/prm.2020.10
Estat de la publicació	Publicada - de febr. 2021

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10.1017/prm.2020.10

https://ddd.uab.cat/record/221323

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title = "Phase portraits of the quadratic polynomial Li{\'e}nard differential systems",

abstract = "We classify the global phase portraits in the Poincar{\'e} disc of the quadratic polynomial Li{\'e}nard differential systems x = y, y = (ax + b)y + cx2 + dx + e, where (x, y) ϵ ℝ2 are the variables and a,b,c,d,e are real parameters.",

keywords = "Global phase portraits, Li{\'e}nard system, Poincar{\'e} compactification, Quadratic system",

author = "Gouveia, \{M{\'a}rcio R.A.\} and Jaume Llibre and Roberto, \{Luci Any\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2020. Published by The Royal Society of Edinburgh.",

year = "2021",

month = feb,

doi = "10.1017/prm.2020.10",

language = "English",

volume = "151",

pages = "202--216",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

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TY - JOUR

T1 - Phase portraits of the quadratic polynomial Liénard differential systems

AU - Gouveia, Márcio R.A.

AU - Llibre, Jaume

AU - Roberto, Luci Any

N1 - Publisher Copyright: © The Author(s), 2020. Published by The Royal Society of Edinburgh.

PY - 2021/2

Y1 - 2021/2

N2 - 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) ϵ ℝ2 are the variables and a,b,c,d,e are real parameters.

AB - 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) ϵ ℝ2 are the variables and a,b,c,d,e are real parameters.

KW - Global phase portraits

KW - Liénard system

KW - Poincaré compactification

KW - Quadratic system

UR - https://www.scopus.com/pages/publications/85082556012

U2 - 10.1017/prm.2020.10

DO - 10.1017/prm.2020.10

M3 - Article

AN - SCOPUS:85082556012

SN - 0308-2105

VL - 151

SP - 202

EP - 216

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 1

ER -

Phase portraits of the quadratic polynomial Liénard differential systems

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