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

Neagu Natalia; Orlov Victor; Popa Mihail

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2020-10-07 11:24

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517.925 (42)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242)

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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

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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.

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