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Robustly expansive codimension-one homoclinic classes are hyperbolic

Published online by Cambridge University Press:  01 February 2009

M. J. PACIFICO ,
E. R. PUJALS ,
M. SAMBARINO  and
J. L. VIEITEZ
M. J. PACIFICO
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, R. J., Brazil (email: pacifico@impa.br, pacifico@im.ufrj.br)
E. R. PUJALS
Affiliation:
Instituto de Matemática Pura e Aplicada, IMPA, CEP 22460-320, Rio de Janeiro, R. J., Brazil (email: enrique@impa.br, enriquepujals@yahoo.com)
M. SAMBARINO
Affiliation:
Instituto de Matemática, Facultad de Ciencias, Universidad de la República, CC30, CP 11300, Montevideo, Uruguay (email: samba@cmat.edu.uy)
J. L. VIEITEZ
Affiliation:
Instituto de Matemática, Facultad de Ingeniería, Universidad de la República, CC30, CP 11300, Montevideo, Uruguay (email: jvieitez@fing.edu.uy)
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Abstract

We shall prove that C1-robustly expansive codimension-one homoclinic classes are hyperbolic.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 1 , February 2009 , pp. 179 - 200
Copyright
Copyright © 2008 Cambridge University Press

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References

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