Integrability conditions for a cubic differential system with a bundle of two invariant straight lines and one invariant cubic
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COZMA, Dumitru, DASCALESCU, Anatolii. Integrability conditions for a cubic differential system with a bundle of two invariant straight lines and one invariant cubic. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 269-272. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Integrability conditions for a cubic differential system with a bundle of two invariant straight lines and one invariant cubic

Pag. 269-272

Cozma Dumitru, Dascalescu Anatolii
 
Tiraspol State University
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

For a cubic differential system with a bundle of two invariant straight lines and one invariant cubic it is proved that a weak focus is a center if and only if the first three Lyapunov quantities Lj , j = 1, 3 vanish.

Cuvinte-cheie
Cubic differential system, Center-focus problem, invariant algebraic curve, integrability,

Lyapunov quantity