Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities

Artes Joan; Llibre Jaume; Schlomiuk Dana; Vulpe Nicolae

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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, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 221-224. ISBN 978-9975-68-244-2.

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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, 19-23 august 2014

Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities

Pag. 221-224

Artes Joan¹, Llibre Jaume¹, Schlomiuk Dana², Vulpe Nicolae³

¹ Universitat Autònoma de Barcelona,
² Université de Montréal,
³ Institute of Mathematics and Computer Science ASM

Disponibil în IBN: 9 octombrie 2017

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Rezumat

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.

Cuvinte-cheie
Quadratic vector fields, infinite and finite singularities, configuration of singularities, geometric equivalence relation

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