THE ????????(????, ℝ)-COMITANTS FOR THE HOMOGENEOUS BIDIMENSIONAL POLYNOMIAL SYSTEM OF DIFFERENTIAL EQUATIONS OF THE FOURTH DEGREE

Stanislav CIUBOTARU Institutul de Matematică și Informatică

Authors

  • USM ADMIN

Abstract

For the homogeneous bidimensional polynomial system of differential equations of the fourth degree, the types, subtypes and the number of irreducible ????????(2, ℝ)-comitants and ????????(2, ℝ)-invariants up to the eighteen degree including were determined. A minimal polynomial bases of ????????(2, ℝ)-comitants and of ????????(2, ℝ)-invariants up to eighteen degree including were constructed for the mentioned system. Keywords: polynomial systems of differential equations, comitants, invariants, transvectants, minimal polynomial basis.

Published

2018-04-14

Issue

Section

Articles