Family of quadratic differential systems with invariant hyperbolas
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OLIVEIRA, Regilene D. S., REZENDE, Alex Carlucci, VULPE, Nicolae. Family of quadratic differential systems with invariant hyperbolas. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 261-264. 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

Family of quadratic differential systems with invariant hyperbolas

Pag. 261-264

Oliveira Regilene D. S.1, Rezende Alex Carlucci1, Vulpe Nicolae2
 
1 Instituto de Ciencia de Materiales, CSIC,
2 Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

In this article we consider the class QSf of all quadratic systems possessing a finite number of singularities (finite and infinite). Using the algebraic invariant theory we provided necessary and sufficient conditions for a system in QSf to have invariant hyperbolas in terms of its coefficients.

Cuvinte-cheie
quadratic differential system, Group action, affine invariant polynomial, algebraic invariant curve

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<dc:creator>Oliveira, R.</dc:creator>
<dc:creator>Rezende, A.</dc:creator>
<dc:creator>Vulpe, N.I.</dc:creator>
<dc:date>2014</dc:date>
<dc:description xml:lang='en'>In this article we consider the class QSf of all quadratic systems possessing a finite number of singularities (finite and infinite). Using the algebraic invariant theory we provided necessary and sufficient conditions for a system in QSf to have invariant hyperbolas in terms of its coefficients. </dc:description>
<dc:source>Conference of Mathematical Society of the Republic of Moldova (3) 261-264</dc:source>
<dc:subject>quadratic differential system</dc:subject>
<dc:subject>Group action</dc:subject>
<dc:subject>affine invariant polynomial</dc:subject>
<dc:subject>algebraic invariant curve</dc:subject>
<dc:title>Family of quadratic differential systems with invariant hyperbolas</dc:title>
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