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Diffeomorphisms with the shadowing property

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Kazuhiro Sakai
Kazuhiro Sakai
Affiliation:
Department of Mathematics Kanagawa University Rokkakubashi Kanagawa-ku Yokohama 221 Japan e-mail: Kazsaka@cc.kanagawa-u.ac.jp
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Abstract

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It is proved that for every diffeomorphism f on a surface satisfying Axiom A, f is in the C2-interior of the set of all diffeoomorphisms having the shadowing property if and only if f satisfies the strong transversality condition.

Keywords

Axiom Abasic setshadowing property

MSC classification

Secondary: 54H20: Topological dynamics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 3 , December 1996 , pp. 396 - 399
Copyright
Copyright © Australian Mathematical Society 1996

References

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