SMOOTH DEFORMATIONS OF PIECEWISE EXPANDING UNIMODAL MAPS

Autor(es)

Baladi, Viviane ^[1] ; Smania, Daniel ^[2]

Afiliação do(s) autor(es)

^[1] Ecole Normale Super, DMA, UMR 8553, F-75005 Paris - France

^[2] USP, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 23, n. 3, p. 685-703, MAR 2009.
• Citações Web of Science: 8

Resumo

In the space of C-k piecewise expanding unimodal maps, k >= 1, we characterize the C-1 smooth families of maps where the topological dynamics does not change ( the ``smooth deformations{''}) as the families tangent to a continuous distribution of codimension-one subspaces (the ``horizontal{''} directions) in that space. Furthermore such codimension-one subspaces are defined as the kernels of an explicit class of linear functionals. As a consequence we show the existence of Ck-1+(Lip) deformations tangent to every given C-k horizontal direction, for k >= 2. (AU)

• Processo FAPESP: 03/03107-9 - Teoria qualitativa de equações diferenciais e teoria de singularidades
• Beneficiário: Carlos Teobaldo Gutierrez Vidalon
• Modalidade de apoio: Auxílio à Pesquisa - Temático