Darboux integrability and reversible quadratic vector fields

Jaume Llibre; João Carlos Medrado

doi:https://doi.org/10.1216/rmjm/1181069627

Darboux integrability and reversible quadratic vector fields

Jaume Llibre, João Carlos Medrado

Department of Mathematics

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

13 Citations (Scopus)

Abstract

In this paper we improve the Darboux theory of integrability for reversible polynomial vector fields in Rn, and we classify the phase portraits of all φ-reversible quadratic polynomial vector fields of R2 such that the dimension of the set of fixed points of φ is equal to one. Copyright ©2005 Rocky Mountain Mathematics Consortium.

Original language	English
Pages (from-to)	1999-2057
Journal	Rocky Mountain Journal of Mathematics
Volume	35
DOIs	https://doi.org/10.1216/rmjm/1181069627
Publication status	Published - 1 Dec 2005

Keywords

Darboux integrability
Reversible vector fields

Access to Document

https://doi.org/10.1216/rmjm/1181069627

Fingerprint Dive into the research topics of 'Darboux integrability and reversible quadratic vector fields'. Together they form a unique fingerprint.

Cite this

@article{062cde4555294c2aa9af46a0d9b81188,

title = "Darboux integrability and reversible quadratic vector fields",

abstract = "In this paper we improve the Darboux theory of integrability for reversible polynomial vector fields in Rn, and we classify the phase portraits of all φ-reversible quadratic polynomial vector fields of R2 such that the dimension of the set of fixed points of φ is equal to one. Copyright {\textcopyright}2005 Rocky Mountain Mathematics Consortium.",

keywords = "Darboux integrability, Reversible vector fields",

author = "Jaume Llibre and Medrado, {Jo{\~a}o Carlos}",

year = "2005",

month = dec,

day = "1",

doi = "https://doi.org/10.1216/rmjm/1181069627",

language = "English",

volume = "35",

pages = "1999--2057",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

}

TY - JOUR

T1 - Darboux integrability and reversible quadratic vector fields

AU - Llibre, Jaume

AU - Medrado, João Carlos

PY - 2005/12/1

Y1 - 2005/12/1

N2 - In this paper we improve the Darboux theory of integrability for reversible polynomial vector fields in Rn, and we classify the phase portraits of all φ-reversible quadratic polynomial vector fields of R2 such that the dimension of the set of fixed points of φ is equal to one. Copyright ©2005 Rocky Mountain Mathematics Consortium.

AB - In this paper we improve the Darboux theory of integrability for reversible polynomial vector fields in Rn, and we classify the phase portraits of all φ-reversible quadratic polynomial vector fields of R2 such that the dimension of the set of fixed points of φ is equal to one. Copyright ©2005 Rocky Mountain Mathematics Consortium.

KW - Darboux integrability

KW - Reversible vector fields

U2 - https://doi.org/10.1216/rmjm/1181069627

DO - https://doi.org/10.1216/rmjm/1181069627

M3 - Article

VL - 35

SP - 1999

EP - 2057

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

ER -