Phase portraits of a new class of integrable quadratic vector fields

Jaume Llibre; Jesús S. Pérez Del Río; J. Angel Rodríguez

Phase portraits of a new class of integrable quadratic vector fields

Jaume Llibre, Jesús S. Pérez Del Río, J. Angel Rodríguez

Department of Mathematics

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

7 Citations (Scopus)

Abstract

We classify the phase portraits of all real quadratic polynomial vector fields having one real invariant algebraic curve of degree 3 such that its complex irreducible factors satisfy some generic assumptions. These vector fields have a first integral.

Original language	English
Pages (from-to)	595-616
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Volume	7
Issue number	4
Publication status	Published - 1 Dec 2000

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title = "Phase portraits of a new class of integrable quadratic vector fields",

abstract = "We classify the phase portraits of all real quadratic polynomial vector fields having one real invariant algebraic curve of degree 3 such that its complex irreducible factors satisfy some generic assumptions. These vector fields have a first integral.",

author = "Jaume Llibre and {P{\'e}rez Del R{\'i}o}, {Jes{\'u}s S.} and Rodr{\'i}guez, {J. Angel}",

year = "2000",

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language = "English",

volume = "7",

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AU - Llibre, Jaume

AU - Pérez Del Río, Jesús S.

AU - Rodríguez, J. Angel

PY - 2000/12/1

Y1 - 2000/12/1

N2 - We classify the phase portraits of all real quadratic polynomial vector fields having one real invariant algebraic curve of degree 3 such that its complex irreducible factors satisfy some generic assumptions. These vector fields have a first integral.

AB - We classify the phase portraits of all real quadratic polynomial vector fields having one real invariant algebraic curve of degree 3 such that its complex irreducible factors satisfy some generic assumptions. These vector fields have a first integral.

M3 - Article

VL - 7

SP - 595

EP - 616

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