Cubic systems with two distinct infinite singularities and 8 invariant lines
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BUJAC, Cristina. Cubic systems with two distinct infinite singularities and 8 invariant lines. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 229-232. 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

Cubic systems with two distinct infinite singularities and 8 invariant lines

Pag. 229-232

Bujac Cristina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

In this article we consider real planar cubic systems which possess eight invariant straight lines, including the line at infinity and including their multiplicities, and in addition they possess two distinct infinite singularities. We prove that these systems could have only 23 distinct configurations of invariant straight lines.

Cuvinte-cheie
Cubic differential system, Poincare compactification, invariant straight line, configuration of invariant straight lines, multiplicity of an invariant straight line