Creation of blenders in the conservative setting

In this work we prove that each Cr conservative diffeomorphism with a pair of hyperbolic periodic points of co-index one can be C1-approximated by Cr conservative diffeomorphisms having a blender.

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Bibliographic Details
Published in:Nonlinearity 2010-02, Vol.23 (2), p.211-223
Main Authors: Hertz, F Rodriguez, Hertz, M A Rodriguez, Tahzibi, A, Ures, R
Format: Article
Language:English
Subjects:
Exact sciences and technology
Global analysis, analysis on manifolds
Manifolds and cell complexes
Mathematical methods in physics
Mathematics
Other topics in mathematical methods in physics
Physics
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:In this work we prove that each Cr conservative diffeomorphism with a pair of hyperbolic periodic points of co-index one can be C1-approximated by Cr conservative diffeomorphisms having a blender.
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/23/2/001