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
.
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
.
Submitted March 29, 2019. Published May 22, 2020.
Math Subject Classifications: 34C35, 58F09, 34D30.
Key Words: Bernoulli equation; Poincare disk; phase portrait.
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Jaume Llibre Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat |
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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 |
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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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