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SM ISO690:2012 CIUBOTARU, Stanislav, CALIN, Iurie. The Lyapunov quantities and the GL(2,R)-invariant center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 263-268. ISBN 978-9975-71-915-5. |
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Conference of Mathematical Society of the Republic of Moldova 4, 2017 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 263-268 | ||||||
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For the bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the recurent equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the mentioned systems were obtained. For a class of such systems the necessary and sufficient GL(2,R)-invariant conditions for the existence of center are given. |
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Cuvinte-cheie Polynomial differential systems, invariant, comitant, transvectant, center conditions, Lyapunov quantities |
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