Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber
Joint Authors
Shabani, Zahra
Saleh, Mohsen
Nazari, Mahboubeh
Ghane, Fatemeh Helen
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ghane, Fatemeh Helen& Nazari, Mahboubeh& Saleh, Mohsen& Shabani, Zahra. 2013. Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479840
Modern Language Association (MLA)
Ghane, Fatemeh Helen…[et al.]. Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-479840
American Medical Association (AMA)
Ghane, Fatemeh Helen& Nazari, Mahboubeh& Saleh, Mohsen& Shabani, Zahra. Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479840