Minimal polynomial basis of GL(2; R)-comitants and of GL(2; R)-invariants of the planar system of differential equations with nonlinearities of the fourth degree

Ciubotaru Stanislav; Calin Iurie

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CIUBOTARU, Stanislav, CALIN, Iurie. Minimal polynomial basis of GL(2; R)-comitants and of GL(2; R)-invariants of the planar system of differential equations with nonlinearities of the fourth 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. 33-35. 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

Minimal polynomial basis of GL(2; R)-comitants and of GL(2; R)-invariants of the planar system of differential equations with nonlinearities of the fourth degree

Pag. 33-35

Ciubotaru Stanislav¹, Calin Iurie¹²

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

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 with nonlinearities of the fourth degree dx dt = P1(x; y) + P4(x; y); dy dt = Q1(x; y) + Q4(x; y); (1) where Pi and Qi are homogeneous polynomials of degree i in x and y with real coecients. We denote by A the 14-dimensional coecient space of the system (1), by a 2 A the vector of coefcients, by q 2 Q Aff(2;R) a nondegenerate linear transformation of the phase plane of the system (1), by q the transformation matrix and by rq (a) the linear representation of coecients of the transformed system in the space A.