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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 3, Pages 88–106 (Mi basm457)  
This article is cited in 1 scientific paper (total in 1 paper)

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

Natalia Neaguab, Victor Orlovcd, Mihail Popad

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
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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.
Funding agency Grant number
Tiraspol State University 15.817.02.18F
16.80012.02.01F
15.817.02.03F
This research was partially supported by grants 15.817.02.18F, 16.80012.02.01F and 15.817.02.03F.
Received: 15.05.2017
Document Type: Article
MSC: 34C14, 34C20, 34D20
Language: English
Citation: 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, no. 3, 88–106
Citation in format AMSBIB
\Bibitem{NeaOrlPop17}
\by Natalia~Neagu, Victor~Orlov, Mihail~Popa
\paper Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 3
\pages 88--106
\mathnet{http://mi.mathnet.ru/basm457}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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