We define the center variety for families of $p:-q$
resonant polynomial vector fields and prove the correctness of the definition.
We also derive an algorithm for computing the focus quantities of such vector
fields.
Publié le : 2008-11-15
Classification:
center,
focus quantity,
polynomial vector field,
resonant,
34C99
@article{1228486413,
author = {Romanovski, Valery G. and Shafer, Douglas S.},
title = {On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {15},
number = {1},
year = {2008},
pages = { 871-887},
language = {en},
url = {http://dml.mathdoc.fr/item/1228486413}
}
Romanovski, Valery G.; Shafer, Douglas S. On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp. 871-887. http://gdmltest.u-ga.fr/item/1228486413/