TY - JOUR
AU - Vadim REPEȘCO
PY - 2018/12/20
Y2 - 2021/06/24
TI - CANONICAL FORMS OF CUBIC DIFFERENTIAL SYSTEMS WITH REAL INVARIANT STRAIGHT LINES OF TOTAL MULTIPLICITY SEVEN ALONG ONE DIRECTION
JF - Acta et Commentationes Exact and Natural Sciences
JA - ActaEX
VL - 6
IS - 2
SE -
DO - 10.36120/2587-3644.v6i2.124-132
UR - https://revista.ust.md/index.php/acta_exacte/article/view/373
AB - Consider the general cubic differential system x Px, y , y Qx, y , whereP Q x y , , R , max deg ,deg 3 P Q , GCD P Q , 1 . If this system has enough invariant straightlines considered with their multiplicities, then, according to [1], we can construct a Darboux first integral.In this paper we obtain 26 canonical forms for cubic differential systems which possess real invariantstraight lines along one direction of total multiplicity seven including the straight line at the infinity.
ER -