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SM ISO690:2012 ORLOV, Victor, POPA, Mihail. On periodic solutions of the four-dimensional differential system of Lyapunov-Darboux type with quadratic nonlinearities. 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. 311-316. 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. 311-316 | |||||
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For the four-dimensional differential system of LyapunovDarboux type with quadratic nonlinearities, we have found a holomorphic integral of Lyapunov type. Using this integral and the Lyapunov theorem, we have obtained centro-affine invariant conditions for stability of unperturbed periodic motion. |
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Cuvinte-cheie differential system, stability of unperturbed motion, center-affine comitant |
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