Cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (3(m),1,1,1)

Puţuntică Vitalie; Suba Alexandru

Conţinutul numărului revistei

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Articolul urmator

649

Ultima descărcare din IBN:
2023-11-17 12:18

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similare conform CZU

517.917+517.925 (1)

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

SM ISO690:2012

PUŢUNTICĂ, Vitalie, SUBA, Alexandru. Cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (3(m),1,1,1). In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2018, nr. 2(6), pp. 95-116. ISSN 2537-6284.

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Acta et commentationes (Ştiinţe Exacte și ale Naturii)

Numărul 2(6) / 2018 / ISSN 2537-6284 /ISSNe 2587-3644

Cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (3(m),1,1,1)

Sistemele diferențiale cubice cu drepte invariante afine reale de multiplicitate paralelă totală șase și de configurația (3(m),1,1,1)

CZU: 517.917+517.925

MSC 2010: 34C05

Pag. 95-116

Puţuntică Vitalie¹, Suba Alexandru²

¹ Tiraspol State University,
² Vladimir Andrunachievici Institute of Mathematics and Computer Science

Disponibil în IBN: 31 iulie 2019

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We classify all cubic di erential systems with exactly six ane real invariant straight lines (taking into account their parallel multiplicity) of four slopes. One invariant strait line of the rst slope has parallel multiplicity m; m = 1; 2; 3: We proove that there are ve distinct classes of such systems. For every class we carried out the qualitative investigation on the Poincare disk.

Sunt clasi cate sistemele diferentiale cubice cu exact sase drepte a ne reale invariante (tin^anduse cont de multiplicitatea paralela) de patru pante. O dreapta de prima panta are multiplicitatea paralela m; m = 1; 2; 3: Se arata ca exista cinci clase distincte de astfel de sisteme. Fiecare clasa este studiata din punct de vedere calitativ si pe discul Poincare sunt construite portretele de faza.

Cuvinte-cheie
Cubic dierential system, invariant straight line, phase portrait,

Sistem diferenttial cubic, dreaptta invariantta, portret de fază

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