Center conditions for a cubic differential system with one invariant straight line
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Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243)
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COZMA, Dumitru, MATEI, Angela. Center conditions for a cubic differential system with one invariant straight line. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2019, nr. 2(8), pp. 22-28. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v8i2.22-28
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Acta et commentationes (Ştiinţe Exacte și ale Naturii)
Numărul 2(8) / 2019 / ISSN 2537-6284 /ISSNe 2587-3644

Center conditions for a cubic differential system with one invariant straight line

Condiții de existență a centrului pentru un sistem diferențial cubic cu o dreaptă invariantă

DOI:https://doi.org/10.36120/2587-3644.v8i2.22-28
CZU: 517.925

Pag. 22-28

Cozma Dumitru, Matei Angela
 
Tiraspol State University
 
 
Disponibil în IBN: 29 ianuarie 2020


Rezumat

We find conditions for a singular point O(0,0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line. The presence of a center at O(0,0) is proved by using the method of rational reversibility

Se determină condițiile de existență a centrului pentru un sistem diferențial cubic cu punctul singular O(0,0) de tip centru sau focar ce posedă o dreaptă invariantă. Prezența centrului se demonstrează aplicând metoda reversibilității raționale

Cuvinte-cheie
Cubic differential system, center problem, invariant straight lines, rational reversibility,

sistem diferențial cubic, problema centrului, drepte invariante, reversibilitate rațională.

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