Polynomial first integrals of quadratic vector fields

Javier Chavarriga; Belén García; Jaume Llibre; Jesús S.Pérez del Río; José Angel Rodríguez

doi:https://doi.org/10.1016/j.jde.2006.07.022

Polynomial first integrals of quadratic vector fields

Javier Chavarriga, Belén García, Jaume Llibre, Jesús S.Pérez del Río, José Angel Rodríguez

Department of Mathematics

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

16 Citations (Scopus)

Abstract

We classify all quadratic polynomial differential systems having a polynomial first integral, and provide explicit normal forms for such systems and for their first integrals. © 2006 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	393-421
Journal	Journal of Differential Equations
Volume	230
DOIs	https://doi.org/10.1016/j.jde.2006.07.022
Publication status	Published - 15 Nov 2006

Keywords

Polynomial first integral
Quadratic vector fields

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https://doi.org/10.1016/j.jde.2006.07.022

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title = "Polynomial first integrals of quadratic vector fields",

abstract = "We classify all quadratic polynomial differential systems having a polynomial first integral, and provide explicit normal forms for such systems and for their first integrals. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

keywords = "Polynomial first integral, Quadratic vector fields",

author = "Javier Chavarriga and Bel{\'e}n Garc{\'i}a and Jaume Llibre and {del R{\'i}o}, {Jes{\'u}s S.P{\'e}rez} and Rodr{\'i}guez, {Jos{\'e} Angel}",

year = "2006",

month = nov,

day = "15",

doi = "https://doi.org/10.1016/j.jde.2006.07.022",

language = "English",

volume = "230",

pages = "393--421",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

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T1 - Polynomial first integrals of quadratic vector fields

AU - Chavarriga, Javier

AU - García, Belén

AU - Llibre, Jaume

AU - del Río, Jesús S.Pérez

AU - Rodríguez, José Angel

PY - 2006/11/15

Y1 - 2006/11/15

N2 - We classify all quadratic polynomial differential systems having a polynomial first integral, and provide explicit normal forms for such systems and for their first integrals. © 2006 Elsevier Inc. All rights reserved.

AB - We classify all quadratic polynomial differential systems having a polynomial first integral, and provide explicit normal forms for such systems and for their first integrals. © 2006 Elsevier Inc. All rights reserved.

KW - Polynomial first integral

KW - Quadratic vector fields

U2 - https://doi.org/10.1016/j.jde.2006.07.022

DO - https://doi.org/10.1016/j.jde.2006.07.022

M3 - Article

SN - 0022-0396

VL - 230

SP - 393

EP - 421

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Polynomial first integrals of quadratic vector fields

Abstract

Keywords

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