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Newhouse phenomenon and homoclinic classes

Published online by Cambridge University Press:  17 November 2010

JIAGANG YANG
JIAGANG YANG*
Affiliation:
Instituto de Matemática, Universidade Federal Fluminense (UFF), Rio de Janeiro, Brazil (email: [email protected])
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Abstract

We show that for a C1 generic subset of diffeomorphisms far from homoclinic tangencies, any infinite sequence of sinks or sources must accumulate on a homoclinic class of some saddle point with codimension one.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 5 , October 2011 , pp. 1537 - 1562
Copyright
Copyright © Cambridge University Press 2010

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