Electron. J. Differential Equations, Vol. 2020 (2020), No. 48, pp. 1-19.

Phase portraits of Bernoulli quadratic polynomial differential systems

Jaume Llibre, Weber F. Pereira, Claudio Pessoa

Abstract:
In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in $\mathbb{R}^2$.

Submitted March 29, 2019. Published May 22, 2020.
Math Subject Classifications: 34C35, 58F09, 34D30.
Key Words: Bernoulli equation; Poincare disk; phase portrait.
DOI: 10.58997/ejde.2020.48

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Jaume Llibre
Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra, Barcelona, Catalonia, Spain
email: jllibre@mat.uab.cat
Weber F. Pereira
Departamento de Matemática
Universidade Estadual Paulista
Campus São José do Rio Preto
IBILCE, R. Cristóvão Colombo, 2265, 15.054-000
São José do Rio Preto, SP, Brazil
email: weber.pereira@unesp.br
Claudio Pessoa
Departamento de Matemática
Universidade Estadual Paulista
Campus São José do Rio Preto
IBILCE, R. Cristóvão Colombo, 2265, 15.054-000
São José do Rio Preto, SP, Brazil
email: c.pessoa@unesp.br

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