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, Number 3,Pages <nobr>88

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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

Abstract: 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.

Keywords and phrases: differential systems, stability of unperturbed motion, center-affine comitant and invariant, Sibirsky graded algebras.

MSC: 34C14, 34C20, 34D20

Received: 15.05.2017

Language: English