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 SM ISO690:2012SUBA, Alexandru, COZMA, Dumitru. Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position. In: Qualitative Theory of Dynamical Systems, 2005, vol. 6, pp. 45-58. ISSN 1575-5460. DOI: https://doi.org/10.1007/BF02972667 |
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  Qualitative Theory of Dynamical Systems |
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| Volumul 6 / 2005 / ISSN 1575-5460 /ISSNe 1662-3592 | ||||||
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| DOI:https://doi.org/10.1007/BF02972667 | ||||||
| Pag. 45-58 | ||||||
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For cubic differential system with three invariant straight lines such that not one pair of the lines is parallel and no more than two lines pass through the same point (in generic position) is proved that a singular point with pure imaginary eigenvalues (a weak focus) is a centre if and only if the first seven Liapunov quantities Vj, j = 1, 7̄ vanish. |
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| Cuvinte-cheie Centre-focus problem, Cubic differential systems, integrability, invariant algebraic curves |
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