Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/95411
Author(s): A. A. Pinto
D. A. Rand
Title: Smoothness of holonomies for codimension 1 hyperbolic dynamics
Issue Date: 2002
Abstract: Hyperbolic invariant sets A of C1+gamma diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper, Under the assumption that the A has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+alpha for some 0 < alpha < 1.
Description: Hyperbolic invariant sets Λ of C^{1+γ} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the Λ has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C^{1+α} for some 0 < α < 1.
Subject: Matemática
Mathematics
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
URI: https://repositorio-aberto.up.pt/handle/10216/95411
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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