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SM ISO690:2012 SADOVSCHII, Anton, SHCHEGLOVA, Tatsiana. Cozma’s centers with invariant straight lines and conics. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 281-284. ISBN 978-9975-68-244-2. |
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Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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Pag. 281-284 | ||||||
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We consider the center-focus problem for cubic systems with two invariant straight lines and one invariant conic. In [1] it is proved that a weak focus is a center for such systems if and only if the first four Liapunov quantities vanish. Seven classes of cubic systems with the center at the origin with two invariant straight lines and one invariant conic which is linear by variable y are presented. |
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Cuvinte-cheie Center-focus problem, Cubic differential system, integrating factor, invariant algebraic curve, center variety |
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