Phase portraits of cubic differential systems with invariant straight lines of total multiplicity eight
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2019-04-13 11:54
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BUJAC, Cristina; VULPE, Nicolae. Phase portraits of cubic differential systems with invariant straight lines of total multiplicity eight. In: Conference of Mathematical Society of the Republic of Moldova. 4, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, pp. 245-250. 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

Phase portraits of cubic differential systems with invariant straight lines of total multiplicity eight

Pag. 245-250

Bujac Cristina, Vulpe Nicolae
 
Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

In this article for the family of cubic differential systems with eight invariant straight lines considered with their multiplicities all the phase portraits were constructed. For such systems the classification according to the configurations of invariant lines in terms of affine invariant polynomials were done in [1–5] and all possible 51 configurations were constructed. For each one of the 51 such classes we perform its corresponding phase portraits and prove that only 30 such phase portraits are topologically distinct.

Cuvinte-cheie
Cubic differential system, phase portrait, configuration of invariant lines, Group action, affine invariant polynomial