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SM ISO690:2012 ARTES, Joan; LLIBRE, Jaume; SCHLOMIUK, Dana; VULPE, Nicolae. Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities. In: Conference of Mathematical Society of the Republic of Moldova. 3, 1923 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, pp. 221224. ISBN 9789975682442. 
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Conference of Mathematical Society of the Republic of Moldova 3, 2014 

Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 1923 august 2014  


Pag. 221224  


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In this work we consider the problem of classifying all configurations of singularities, both finite and infinite of quadratic differential systems, with respect to the geometric equivalence relation defined in [2]. This relation is finer than the topological equivalence relation which does not distinguish between a focus and a node or between a strong and a weak focus or between foci of different orders. In this article we continue the work initiated in [3] and obtain the geometric classification of singularities, finite and infinite, for the subclass of quadratic differential systems possessing finite singularities of total multiplicity three and at most two real singularities. 

Cuvintecheie Quadratic vector fields, infinite and finite singularities, configuration of singularities, geometric equivalence relation 

