The stationary differential systems with polynomial right sides are considered. Necessary and sufficient conditions are formulated when a given domain is a domain of asymptotic stability and the origin of coordinates is either the focus or the center. The problem of constuction of a stabilizing control in a form of polynomial is studied.
@article{1584,
title = {Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side},
journal = {CUBO, A Mathematical Journal},
volume = {9},
year = {2007},
language = {en},
url = {http://dml.mathdoc.fr/item/1584}
}
Proudnikov, l. M. Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side. CUBO, A Mathematical Journal, Tome 9 (2007) . http://gdmltest.u-ga.fr/item/1584/