Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities

Bujac Cristina; Schlomiuk Dana; Vulpe Nicolae

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2024-01-11 04:32

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BUJAC, Cristina, SCHLOMIUK, Dana, VULPE, Nicolae. Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities. In: Electronic Journal of Differential Equations, 2021, vol. 2021, pp. 1-88. ISSN 1072-6691.

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Electronic Journal of Differential Equations

Volumul 2021 / 2021 / ISSN 1072-6691 /ISSNe 1550-6150

Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities

Pag. 1-88

Bujac Cristina¹, Schlomiuk Dana², Vulpe Nicolae¹

¹ Vladimir Andrunachievici Institute of Mathematics and Computer Science,
² Université de Montréal

Proiecte:

20.80009.5007.05 Nanoparticule metalice biofuncționalizate - obținerea cu ajutorul cianobacteriilor și microalgelor

Disponibil în IBN: 1 februarie 2022

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In this article we consider the class CSL^4s∞ 7 of non-degenerate real planar cubic vector fields possessing four distinct real infinite singularities and invariant straight lines, including the line at infinity of total multiplicity 7. We prove that there are exactly 93 distinct configurations of invariant straight lines for this class, and present corresponding examples for the realization of each one of the detected configurations.

Cuvinte-cheie
Configurations of invariant straight lines, Cubic vector field, infinite and finite singularities, invariant straight line, multiplicity of invariant lines, multiplicity of singularity