Non-critical saddle-node cycles and robust non-hyperbolic dynamics

• Tipo: Artigo em Revista Científica Internacional
• Data: 1997

Autores

Diaz, LJ (Autor) Outra; Rocha, J (Autor) FCUP

Revista

Título: Dynamics and Stability of Systems

Vol. 12

Páginas: 109-135

ISSN: 0268-1110

Editora: Oxford University Press

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 5 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

Outras Informações

ID Authenticus: P-001-B9M

DOI: 10.1080/02681119708806240

Abstract (EN): We study arcs of diffeomorphisms (f(t)) in manifolds of dimension greater than or equal to three bifurcating via non-critical saddle-node cycles. We construct an open set S of such arcs for which, after the bifurcation, every diffeomorphism f(t) does not satisfy Axiom A. We also exhibit an open subset S' of S such that after the bifurcation every diffeomorphism has a partially hyperbolic set of saddle-type which is persistent, locally maximal and transitive. As a consequence, we get a submanifold of codimension-1 of diffeomorphisms with a saddle-node that locally separates the set of Morse-Smale systems from the diffeomorphisms with a partially hyperbolic transitive set.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 27