Phase portraits of bernoulli quadratic polynomial differential systems

Jaume Llibre; Weber F. Pereira; Claudio Pessoa

Phase portraits of bernoulli quadratic polynomial differential systems

Jaume Llibre, Weber F. Pereira, Claudio Pessoa

Departament de Matemàtiques

Universidade Estadual Paulista Júlio de Mesquita Filho

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Resum

In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincaré disk of Bernoulli quadratic polynomial differential systems in R² .

Idioma original	English
Número d’article	48
Pàgines (de-a)	1-19
Nombre de pàgines	19
Revista	Electronic Journal of Differential Equations
Volum	2020
Estat de la publicació	Publicada - 2020

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@article{8857803595c6426db113db707887543f,

title = "Phase portraits of bernoulli quadratic polynomial differential systems",

abstract = "In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincar{\'e} disk of Bernoulli quadratic polynomial differential systems in R2 .",

keywords = "Bernoulli equation, Phase portrait, Poincar{\'e} disk",

author = "Jaume Llibre and Pereira, {Weber F.} and Claudio Pessoa",

note = "Publisher Copyright: {\textcopyright} 2020 Texas State University.",

year = "2020",

language = "English",

volume = "2020",

pages = "1--19",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Phase portraits of bernoulli quadratic polynomial differential systems

AU - Llibre, Jaume

AU - Pereira, Weber F.

AU - Pessoa, Claudio

PY - 2020

Y1 - 2020

N2 - In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincaré disk of Bernoulli quadratic polynomial differential systems in R2 .

AB - In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincaré disk of Bernoulli quadratic polynomial differential systems in R2 .

KW - Bernoulli equation

KW - Phase portrait

KW - Poincaré disk

UR - http://www.scopus.com/inward/record.url?scp=85088276910&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85088276910

SN - 1072-6691

VL - 2020

SP - 1

EP - 19

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 48

ER -

Phase portraits of bernoulli quadratic polynomial differential systems

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