Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
71 0 |
SM ISO690:2012 COZMA, Dumitru. The problem of the centre for cubic systems with two parallel invariant straight lines and one invariant conic. In: Nonlinear Differential Equations and Applications NoDEA, 2009, vol. 16, pp. 213-234. ISSN 1021-9722. DOI: https://doi.org/10.1007/s00030-008-7044-x |
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Nonlinear Differential Equations and Applications NoDEA | |||||||
Volumul 16 / 2009 / ISSN 1021-9722 /ISSNe 1420-9004 | |||||||
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DOI:https://doi.org/10.1007/s00030-008-7044-x | |||||||
Pag. 213-234 | |||||||
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Rezumat | |||||||
For cubic differential systems with two parallel invariant straight lines and at least one invariant conic it is proved that a singular point with pure imaginary eigenvalues (a weak focus) is a centre if and only if the first three Liapunov quantities L j , j = 1, 2, 3 vanish. |
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Cuvinte-cheie Center-focus problem, Cubic differential systems, integrability., invariant algebraic curves |
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