# Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.

Publicacions Matemàtiques (1996)

- Volume: 40, Issue: 1, page 21-39
- ISSN: 0214-1493

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topChavarriga, Javier, and Giné, Jaume. "Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.." Publicacions Matemàtiques 40.1 (1996): 21-39. <http://eudml.org/doc/41255>.

@article{Chavarriga1996,

abstract = {In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.},

author = {Chavarriga, Javier, Giné, Jaume},

journal = {Publicacions Matemàtiques},

keywords = {Ecuaciones diferenciales; Ecuaciones polinómicas; Integrabilidad; integrability; two-dimensional autonomous system in the plane; linear part of center type},

language = {eng},

number = {1},

pages = {21-39},

title = {Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.},

url = {http://eudml.org/doc/41255},

volume = {40},

year = {1996},

}

TY - JOUR

AU - Chavarriga, Javier

AU - Giné, Jaume

TI - Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.

JO - Publicacions Matemàtiques

PY - 1996

VL - 40

IS - 1

SP - 21

EP - 39

AB - In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.

LA - eng

KW - Ecuaciones diferenciales; Ecuaciones polinómicas; Integrabilidad; integrability; two-dimensional autonomous system in the plane; linear part of center type

UR - http://eudml.org/doc/41255

ER -

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