Conley indexes and stable sets for flows on flag bundles

Autor(es)

Patrao, Mauro ^[1] ; Martin, Luiz A. B. San ^[2] ; Seco, Lucas ^[2]

Afiliação do(s) autor(es)

^[1] Univ Brasilia, Dept Matemat, Brasilia, DF - Brazil

^[2] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 24, n. 2, p. 249-276, 2009.
• Citações Web of Science: 5

Resumo

Consider a continuous flow of automorphisms of a G-principal bundle which is chain transitive on its compact Hausdorff base. Here G is a connected non-compact semi-simple Lie group with finite centre. The finest Morse decomposition of the induced flows on the associated flag bundles were obtained in previous articles. Here we describe the stable sets of these Morse components and, under an additional assumption, their Conley indexes. (AU)

• Processo FAPESP: 07/52390-6 - Cociclos e semifluxos em fibrados
• Beneficiário: Lucas Conque Seco Ferreira
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Modalidade de apoio: Auxílio à Pesquisa - Temático