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Persistence in expansive systems

Published online by Cambridge University Press:  19 September 2008

Jorge Lewowicz
Jorge Lewowicz
Affiliation:
Departamento de Matemáticas, Universidad Simón Bolívar, Apartado Postal 80.659. Caracas, Venezuela
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Abstract

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We give some sufficient conditions for an expansive diffeomorphism ƒ of a compact manifold to be such that every neighbouring diffeomorphism shows, roughly, all the dynamical features of ƒ. These results are then applied to prove a structural stability theorem for pseudo-Anosov maps.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 567 - 578
Copyright
Copyright © Cambridge University Press 1983

References

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