| Texto completo | |
| Autor(es): |
Weber, Joa
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 9, n. 2, p. 36-pg., 2015-12-01. |
| Resumo | |
We reprove the lambda-Lemma for finite dimensional gradient flows by generalizing the well-known contraction method proof of the local (un)stable manifold theorem. This only relies on the forward Cauchy problem. We obtain a rather quantitative description of (un)stable foliations which allows to equip each leaf with a copy of the flow on the central leaf-the local (un)stable manifold. These dynamical thickenings are key tools in our recent work (Weber in Topol Methods Nonlinear Anal, to appear. arXiv: 1410.0995). The present paper provides their construction. (AU) | |
| Processo FAPESP: | 13/20912-4 - Sistemas dinâmicos hiperbólicos na dimensão infinita |
| Beneficiário: | Joachim Weber |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |