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SM ISO690:2012 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 EditorialPoligrafic al USM, 2017, pp. 245250. ISBN 9789975719155. 
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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  


Pag. 245250 



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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. 

Cuvintecheie Cubic differential system, phase portrait, configuration of invariant lines, Group action, affine invariant polynomial 

