Removing zero Lyapunov exponents

In an explicit family of partially hyperbolic diffeomorphisms of the torus T 3, Shub andWilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction. We present here a local version of their argument, allowing one to perturb the center Lyapunov exponents of any partially...

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Detalles Bibliográficos
Autores: Baraviera, Alexandre Tavares, Bonatti, C.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/27438
Acceso en línea:http://hdl.handle.net/10183/27438
Access Level:acceso abierto
Palabra clave:Expoentes de Lyapunov
Difeomorfismos
Medidas de Lyapunov
Descripción
Sumario:In an explicit family of partially hyperbolic diffeomorphisms of the torus T 3, Shub andWilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction. We present here a local version of their argument, allowing one to perturb the center Lyapunov exponents of any partially hyperbolic system, in any dimension and with arbitrary dimension of the center bundle.