Geodesic
Rational bases of GL(2,R)-comitants and of GL(2,R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2015), pp. 14-34.

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This paper is devoted to the construction of minimal rational bases of GL(2,R)-comitants and minimal rational bases of GL(2,R)-invariants for the bidimensional system of differential equations with nonlinearities of the fourth degree. For this system, three minimal rational bases of GL(2,R)-comitants and two minimal rational bases of GL(2,R)-invariants were constructed. It was established that any minimal rational basis of GL(2,R)-comitants contains 13 comitants and each minimal rational basis of GL(2,R)-invariants contains 11 invariants. 
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Stanislav Ciubotaru. Rational bases of $GL(2,\mathbb R)$-comitants and of $GL(2,\mathbb R)$-invariants for the planar system of differential equations with nonlinearities of the fourth degree. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2015), pp. 14-34. https://geodesic-test.mathdoc.fr/item/BASM_2015_3_a1/

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