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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 3, Pages 51–66
(Mi basm270)
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This article is cited in 1 scientific paper (total in 1 paper)
Research articles
Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic
Dimitru Cozma Department of Mathematics, Tiraspol State University, Chişinău, Moldova
Abstract:
For a class of cubic differential systems with a bundle of two invariant straight lines and one invariant conic it is proved that a weak focus is a center if and only if the first four Liapunov quantities $L_j$, $j=\overline{1,4}$, vanish.
Keywords and phrases:
cubic differential system, center-focus problem, invariant algebraic curve, integrability.
Received: 15.06.2010
Citation:
Dimitru Cozma, “Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 51–66
Linking options:
https://www.mathnet.ru/eng/basm270 https://www.mathnet.ru/eng/basm/y2010/i3/p51
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Abstract page: | 234 | Full-text PDF : | 76 | References: | 58 | First page: | 1 |
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