Planar cubic polynomial differential systems with the maximum number of invariant straight lines

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dc.creatorLlibre, Jaume
dc.creatorVulpe, Nicolae
dc.date2004-04-29
dc.date.accessioned2026-07-07T05:07:48Z
dc.date.available2026-07-07T05:07:48Z
dc.descriptionWe classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological different classes of such systems. For every class we provide the configuration of its invariant straight lines in the Poincare disc. Moreover, every class is characterized by a set of affine invariant conditions.
dc.description58 pages, 2 Postscript figures, Latex
dc.identifierhttps://arxiv.org/abs/math/0404531
dc.identifierhttp://arxiv.org/abs/math/0404531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71006
dc.subjectDynamical Systems
dc.subject34C05 ; 13A50
dc.titlePlanar cubic polynomial differential systems with the maximum number of invariant straight lines
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