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| Ultima descărcare din IBN: 2020-12-31 00:21 |
 SM ISO690:2012CALIN, Iurie, CIUBOTARU, Stanislav. A class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree 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. 32-35. ISBN 978-9975-68-378-4. |
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| Proceedings IMCS-55 2019 | ||||||
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 28 septembrie - 1 octombrie 2019 | ||||||
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| Pag. 32-35 | ||||||
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A class of the autonomous bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree with pure imaginary eigenvalues of the Jacobian matrix at the singular point (0, 0) is considered in this paper. For this class of differential 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 of the system, were established. |
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| Cuvinte-cheie Polynomial differential systems, invariant, comitant, transvectant, center conditions, symmetry axis |
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