Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.

Li, Chengzhi, Llibre, Jaume, and Zhang, Zhi-fen. "Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.." Publicacions Matemàtiques 39.2 (1995): 355-366. <http://eudml.org/doc/41230>.

@article{Li1995,
abstract = {We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.},
author = {Li, Chengzhi, Llibre, Jaume, Zhang, Zhi-fen},
journal = {Publicacions Matemàtiques},
keywords = {Integrales abelianas; Ciclos límite; Campos vectoriales; Formas cuadráticas; quadratic Hamiltonian system; bifurcation; weakened 16th Hilbert problem; perturbation},
language = {eng},
number = {2},
pages = {355-366},
title = {Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.},
url = {http://eudml.org/doc/41230},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Li, Chengzhi
AU - Llibre, Jaume
AU - Zhang, Zhi-fen
TI - Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 2
SP - 355
EP - 366
AB - We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.
LA - eng
KW - Integrales abelianas; Ciclos límite; Campos vectoriales; Formas cuadráticas; quadratic Hamiltonian system; bifurcation; weakened 16th Hilbert problem; perturbation
UR - http://eudml.org/doc/41230
ER -