Natalia Neagu, Victor Orlov, Mihail Popa, “Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, номер 3,страницы 88

Эта публикация цитируется в 1 статье

Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane

Natalia Neagu^ab, Victor Orlov^cd, Mihail Popa^d

^a Tiraspol State University, Chişinău, Republic of Moldova
^b Ion Creangă Pedagogical State University, Chişinău, Republic of Moldova
^c Technical University of Moldova, Chişinău, Republic of Moldova
^d Institute of Mathematics and Computer Science, Chişinău, Republic of Moldova

Аннотация: Center-affine invariant conditions of the stability of unperturbed motion were determined for differential systems in the plane with polynomial nonlinearities in non-critical cases and for differential systems in the plane with polynomial nonlinearities up to the fourth degree inclusive in critical cases.

Ключевые слова и фразы: differential systems, stability of unperturbed motion, center-affine comitant and invariant, Sibirsky graded algebras.

MSC: 34C14, 34C20, 34D20

Поступила в редакцию: 15.05.2017

Язык публикации: английский