| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000395869 |
| ISSN: | 0037-8712 |
| Authors: | Arraut, J.L1 Maquera, Carlos1 |
| Institutions: | 1Universidade de Sao Paulo, Instituto de Ciencias Matematicas e de Computacao, Sao Carlos, Sao Paulo. Brasil |
| Year: | 2006 |
| Volumen: | 24 |
| Number: | 1-2 |
| Pages: | 9–18-9–18 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Let M^m be a compact m-manifold and ϕ : R^n × M^m → M^m a C^r , r ≥ 1, action with infinitesimal generators of class C^r . We introduce the concept of transversally hyperbolic singular orbit for an action ϕ and explore this concept in its relations to stability. Our main result says that if m = n and Op is a compact singular orbit of ϕ that is transversally hyperbolic, then ϕ is C^1 locally structurally stable at Op |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Sistemas dinámicos, Topología, Estabilidad, Acciones de grupo, Variedades, Orbitas, Variedades diferenciables |
| Keyword: | Mathematics, Pure mathematics, Dynamic systems, Topology, Stability, Group actions, Manifolds, Orbits, Differentiable manifolds |
| Full text: | Texto completo (Ver PDF) |
