Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Jaume Llibre; Regilene D.S. Oliveira

doi:10.1016/j.na.2008.07.012

Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Jaume Llibre, Regilene D.S. Oliveira

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

16 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	3549-3560
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	70
DOIs	https://doi.org/10.1016/j.na.2008.07.012
Publication status	Published - 15 May 2009

Keywords

Integrability
Phase portraits
Quadratic vector fields
Rational first integral

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10.1016/j.na.2008.07.012

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@article{47753dc7506e4996ad8087b5bbc8ce3c,

title = "Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3",

abstract = "In this paper, we classify all the global phase portraits of the quadratic polynomial vector fields having a rational first integral of degree 3. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

keywords = "Integrability, Phase portraits, Quadratic vector fields, Rational first integral",

author = "Jaume Llibre and Oliveira, {Regilene D.S.}",

year = "2009",

month = may,

day = "15",

doi = "10.1016/j.na.2008.07.012",

language = "English",

volume = "70",

pages = "3549--3560",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

AU - Llibre, Jaume

AU - Oliveira, Regilene D.S.

PY - 2009/5/15

Y1 - 2009/5/15

KW - Integrability

KW - Phase portraits

KW - Quadratic vector fields

KW - Rational first integral

U2 - 10.1016/j.na.2008.07.012

DO - 10.1016/j.na.2008.07.012

M3 - Article

SN - 0362-546X

VL - 70

SP - 3549

EP - 3560

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Abstract

Keywords

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