CUBIC DIFFERENTIAL SYSTEMS WITH AFFINE REAL INVARIANT STRAIGHT LINES OF TOTAL PARALLEL MULTIPLICITY SIX AND CONFIGURATIONS (3(m); 1; 1; 1)
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Keywords

Cubic differential system
invariant straight line
phase portrait

How to Cite

PUȚUNTICĂ, V., & ȘUBĂ, A. (2018). CUBIC DIFFERENTIAL SYSTEMS WITH AFFINE REAL INVARIANT STRAIGHT LINES OF TOTAL PARALLEL MULTIPLICITY SIX AND CONFIGURATIONS (3(m); 1; 1; 1). Acta Et Commentationes Exact and Natural Sciences, 6(2), 95-116. https://doi.org/10.36120/2587-3644.v6i2.95-116

Abstract

We classify all cubic differential systems with exactly six affine real invariant straight lines (taking into account their parallel multiplicity) of four slopes. One invariant strait line of the first slope has parallel multiplicity m; m = 1; 2; 3: We proove that there are five distinct classes of such systems. For every class we carried out the qualitative investigation on the Poincar´e disk.

https://doi.org/10.36120/2587-3644.v6i2.95-116
pdf (Русский)
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