Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane
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517.925 (42)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (241)
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NEAGU, Natalia, ORLOV, Victor, POPA, Mihail. Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 88-106. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

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

CZU: 517.925
MSC 2010: 34C14, 34C20, 34D20.

Pag. 88-106

Neagu Natalia1, Orlov Victor23, Popa Mihail3
 
1 "Ion Creangă" State Pedagogical University from Chisinau,
2 Technical University of Moldova,
3 Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 10 februarie 2018


Rezumat

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.

Cuvinte-cheie
Differential systems, stability of unperturbed motion, center-affine comitant and invariant,

Sibirsky graded algebras.