Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line

Jaume Llibre; Maurício Fronza da Silva

doi:10.1016/j.crma.2018.12.008

Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line

Jaume Llibre, Maurício Fronza da Silva

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.

Original language	English
Pages (from-to)	143-166
Journal	Comptes Rendus Mathematique
Volume	357
DOIs	https://doi.org/10.1016/j.crma.2018.12.008
Publication status	Published - 1 Feb 2019

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title = "Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line",

abstract = "{\textcopyright} 2019 We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.",

author = "Jaume Llibre and {Fronza da Silva}, Maur{\'i}cio",

year = "2019",

month = feb,

day = "1",

doi = "10.1016/j.crma.2018.12.008",

language = "English",

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AU - Llibre, Jaume

AU - Fronza da Silva, Maurício

PY - 2019/2/1

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N2 - © 2019 We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.

AB - © 2019 We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.

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DO - 10.1016/j.crma.2018.12.008

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SP - 143

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

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