A rational basis of GL(2; R)-comitants for the bidimensional polynomial system of differential equations of the fifth degree

Calin Iurie; Orlov Victor

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CALIN, Iurie, ORLOV, Victor. A rational basis of GL(2; R)-comitants for the bidimensional polynomial system of differential equations of the fifth degree. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 27-29. ISBN 978-9975-76-247-2.

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Conference on Applied and Industrial Mathematics
Ediţia a 26-a, 2018

Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 20-22 septembrie 2018

A rational basis of GL(2; R)-comitants for the bidimensional polynomial system of differential equations of the fifth degree

Pag. 27-29

Calin Iurie¹, Orlov Victor²

¹ Vladimir Andrunachievici Institute of Mathematics and Computer Science,
² Technical University of Moldova

Proiecte:

Menționat în lucrare: 15.817.02.03F Invarianți algebrici și geometrici în studiul calitativ al sistemelor diferenţiale polinomiale

Disponibil în IBN: 31 mai 2022

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Let us consider the system of di_erential equations of the _fth degree Qi(x; y); (1)where Pi(x; y); Qi(x; y) are homogeneous polynomials of degree i in x and y with real coe_cients. The following GL(2;R)-comitants [1] have the _rst degree with respect to the coe_cients of the system (1).Using the comitants (2) as elementary "bricks" and the notion of transvectant [2] the following GL(2;R)-comitants of the system (1) were constructed.