Necessary and sufficient conditions of existence of a center in the plane for the "general" quadratic differential systems are given. These conditions are expressed with the affine invariants depending on coefficients of the considered system.
Publié le : 1989-07-04
Classification:
Center-focus problem,
qualitative theory of planar differential systems,
invariant theory,
[MATH]Mathematics [math]
@article{hal-01315782,
author = {Boularas, Driss and Vulpe, Nicolae and Sibirskii, Constantin Sergeivitch},
title = {Solution of the problem of the center ``in the large'' for a general quadratic differential system},
journal = {HAL},
volume = {1989},
number = {0},
year = {1989},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01315782}
}
Boularas, Driss; Vulpe, Nicolae; Sibirskii, Constantin Sergeivitch. Solution of the problem of the center “in the large” for a general quadratic differential system. HAL, Tome 1989 (1989) no. 0, . http://gdmltest.u-ga.fr/item/hal-01315782/