Solution of the Problem of the Centre for a Cubic Differential System with three Invariant Straight Lines

• Autores: A. Suba, D. Cozma
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 2, Nº 1, 2001, págs. 129-144
• Idioma: inglés
• DOI: 10.1007/bf02969386
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• Resumen

  • For a cubic differential system $\dot x = y(1+x)(1-x+cx+fy),\linebreak \dot y = -(x+gx^2+dxy+by^2+sx^3+qx^2y+nxy^2+ly^3)$ we find coefficient conditions for the existence of three invariant straight lines. We resolve the problem of the centre in each of these conditions.