Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Hyperbolic sets exhibiting -persistent homoclinic tangency for higher dimensions

Author(s): Masayuki Asaoka
Journal: Proc. Amer. Math. Soc. 136 (2008), 677-686.
MSC (2000): Primary 37C29; Secondary 37C20, 37B10
Posted: October 18, 2007
Errata: Proc. Amer. Math. Soc. 138 (2010), 1533
MathSciNet review: 2358509
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: For any manifold of dimension at least three, we give a simple construction of a hyperbolic invariant set that exhibits -persistent homoclinic tangency. It provides an open subset of the space of -diffeomorphisms in which generic diffeomorphisms have arbitrary given growth of the number of attracting periodic orbits and admit no symbolic extensions.

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