Title : ( Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber )
Authors: Fateme Helen Ghane Ostadghassemi , Mahboubeh Nazari , Mohsen Saleh , zahra shabani siahkalde ,
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Abstract
We consider step and soft skew products over the Bernoulli shift which have an m-dimensional closed manifold as a fiber. It is assumed that the fiber maps Hölder continuously depend on a point in the base. We prove that, in the space of skew product maps with this property, there exists an open domain such that maps from this open domain have dense sets of periodic points that are attracting and repelling along the fiber. Moreover, robust properties of invariant sets of diffeomorphisms, including the coexistence of dense sets of periodic points with different indices, are obtained.
Keywords
, Periodic orbits, skew products, minimal, iterated function systems.
@article{paperid:1036504,
author = {Ghane Ostadghassemi, Fateme Helen and Nazari, Mahboubeh and Mohsen Saleh and Shabani Siahkalde, Zahra},
title = {Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber},
journal = {Abstract and Applied Analysis},
year = {2013},
volume = {2013},
number = {1},
month = {October},
issn = {1085-3375},
pages = {1--7},
numpages = {6},
keywords = {Periodic orbits; skew products; minimal; iterated function systems.},
}
%0 Journal Article
%T Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber
%A Ghane Ostadghassemi, Fateme Helen
%A Nazari, Mahboubeh
%A Mohsen Saleh
%A Shabani Siahkalde, Zahra
%J Abstract and Applied Analysis
%@ 1085-3375
%D 2013
