Multiplicity of Invariant Algebraic Curves and Darboux Integrability

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dc.creatorLlibre, Jaume
dc.creatorPereira, Jorge Vitorio
dc.date2000-09-02
dc.date.accessioned2026-07-07T04:37:08Z
dc.date.available2026-07-07T04:37:08Z
dc.descriptionWe define four different kinds of multiplicity of an invariant algebraic curve for a given polynomial vector field and investigate their relationships. After taking a closer look at the singularities and at the line of infinity, we improve the Darboux theory of integrability using these new notions of multiplicity.
dc.description16 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0009020
dc.identifierhttp://arxiv.org/abs/math/0009020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59846
dc.subjectDynamical Systems
dc.titleMultiplicity of Invariant Algebraic Curves and Darboux Integrability
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