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

Chavarriga, 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 -