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Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles

Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles The C 1 density conjecture of Palis asserts that diffeomorphisms exhibiting either a homoclinic tangency or a heterodimensional cycle are C 1 dense in the complement of the C 1 closure of hyperbolic systems. In this paper we prove some results towards the conjecture. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles

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Publisher
Springer Journals
Copyright
Copyright © 2004 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-004-0023-x
Publisher site
See Article on Publisher Site

Abstract

The C 1 density conjecture of Palis asserts that diffeomorphisms exhibiting either a homoclinic tangency or a heterodimensional cycle are C 1 dense in the complement of the C 1 closure of hyperbolic systems. In this paper we prove some results towards the conjecture.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jan 1, 2004

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