Please use this identifier to cite or link to this item: https://app.uff.br/riuff/handle/1/4214
Title: O teorema de Poincaré–Bendixson e o teorema de Hartman–Grobman
Authors: Machado, Aline de Melo
metadata.dc.contributor.advisor: Aguilar, Ivan
metadata.dc.contributor.members: Freitas, Marina Sequeiros Dias de
França, Luiz Felipe Nobili
Issue Date: 2016
Abstract: Estudamos o Teorema de Poincaré–Bendixson e o Teorema de Hartman–Grobman (em pontos fixos hiperbólicos). Neste último teorema demonstramos a versão para difeomorfismos de classe C1. Ambos, teoremas de extrema importância na matemática. O teorema de Poincaré–Bendixson classifica o !−limite no plano. O teorema de Hartman–Grobman garante que localmente o comportamento de um campo vetorial é conjugado à sua linearização.
metadata.dc.description.abstractother: We study the Poincaré–Bendixson theorem and the Hartman–Grobman theorem (for hyperbolic fixed points). In this last theorem, we prove the C1−di eomorphisms version. Both theorems of utmost importance in mathematics. The Poincare– Bendixson theorem classifies the !−limit in the plane. The Hartman–Grobman theorem ensures that locally the behavior of a vector field is conjugated to its linearization
URI: https://app.uff.br/riuff/handle/1/4214
Appears in Collections:VGT - Trabalhos de Conclusão de Curso - Volta Redonda

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