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SM ISO690:2012 CALIN, Iurie, BALTAG, Valeriu. Some classes of polynomial bidimensional cubic differential systems with the symmetry axis. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 28-31. ISBN 978-9975-68-378-4. |
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Proceedings IMCS-55 2019 | ||||||
Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 28 septembrie - 1 octombrie 2019 | ||||||
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Pag. 28-31 | ||||||
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The autonomous bidimensional polynomial cubic systems of differential equations with pure imaginary eigenvalues of the Jacobian matrix at the singular point (0, 0) are considered in this paper. For these cubic systems the necessary and sufficient GL(2,R)-invariant conditions to having the symmetry axis, which passes through the origin of the coordinates of the phase plane, were obtained. Also, for the mentioned systems GL(2,R)invariant sufficient center conditions for the origin of the coordinates of the phase plane were established. |
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Cuvinte-cheie Polynomial differential systems, invariant, comitant, transvectant, center conditions, symmetry axis |
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