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 SM ISO690:2012COZMA, Dumitru, SUBA, Alexandru. Solution of the problem of the centre for a cubic differential system with three invariant straight lines. In: Qualitative Theory of Dynamical Systems, 2001, vol. 2, pp. 129-143. ISSN 1575-5460. DOI: https://doi.org/10.1007/BF02969386 |
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  Qualitative Theory of Dynamical Systems |
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| Volumul 2 / 2001 / ISSN 1575-5460 /ISSNe 1662-3592 | ||||||
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| DOI:https://doi.org/10.1007/BF02969386 | ||||||
| Pag. 129-143 | ||||||
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For a cubic differential system ẋ = y(1 + x)(1 - x + cx + fy), ẏ = -(x + gx2 + dxy + by2 + sx3 + qx2y + nxy2 + ly3) we find coefficient conditions for the existence of three invariant straight lines. We resolve the problem of the centre in each of these conditions. |
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| Cuvinte-cheie Center-focus problem, cubic systems of differential equations, integrability, invariant algebraic curves |
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