SISTEMELE DIFERENȚIALE CUBICE CU DREPTE INVARIANTE AFINE REALE DE MULTIPLICITATE PARALELA TOTALĂ ȘASE  ȘI DE CONFIGURAȚIA (3(m); 1; 1; 1)

Vitalie PUȚUNTICĂ; Alexandru ȘUBĂ

doi:10.36120/2587-3644.v6i2.95-116

Vol 6 No 2 (2018), Статьи

Vol 6 No 2 (2018)

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

Статьи

https://doi.org/10.36120/2587-3644.v6i2.95-116

Published December 20, 2018

Vitalie PUȚUNTICĂ⁺⁻
Alexandru ȘUBĂ⁺⁻

Vitalie PUȚUNTICĂ

Tiraspol State University

Alexandru ȘUBĂ

Institute of Mathematics and Computer Science

Supplementary Files

pdf (Русский)

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.