Data/hora: 16/06/2024 05:02:37

Provedor de dados: | 42
País: | Brazil
Título: | Topological equivalence for multiple saddle connections
Autores: | ALONSO,CLEMENTA; CAMACHO,MARIA IZABEL; CANO,FELIPE.
Data: | 2002-12-01
Ano: | 2002
Palavras-chave: | Saddle connections; Singular vector fields; Topological equivalence; Blowing ups.
Resumo: | We study the topological equivalence between two vector fields defined in the neighborhood of the skeleton of a normal crossings divisor in an ambient space of dimension three. We deal with singularities obtained from local ones by ambient blowing-ups: we impose thus the non-degeneracy condition that they are all hyperbolic without certain algebraic resonances in the set of eigenvalues. Once we cut-out the attractors, we get the result if the corresponding graph has no cycles. The case of cycles is of another nature, as the Dulac Problem in dimension three.
Tipo: | Info:eu-repo/semantics/article
Idioma: | Inglês
Identificador: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000400002
Editor: | Academia Brasileira de Ciências
Relação: | 10.1590/S0001-37652002000400002
Formato: | text/html
Fonte: | Anais da Academia Brasileira de Ciências  v.74 n.4 2002
Fonte: | info:eu-repo/semantics/openAccess