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Diffeomorphisms with pseudo orbit tracing property

Published online by Cambridge University Press:  22 January 2016

Kazuhiro Sakai
Kazuhiro Sakai*
Affiliation:
Kisarazu National College of Technology, Kisarazu, Chiba 292, Japan
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We shall discuss a differentiable invariant that arises when we consider a class of diffeomorphisms having the pseudo orbit tracing property (abbrev. POTP).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 126 , June 1992 , pp. 125 - 140
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

[1] Aoki, N., The set of Axiom A diffeomorphisms with no cycle, to appear in Bol. Soc. Bras. Math.Google Scholar
[2] Franks, J. and Robinson, C., A quasi-Anosov diffeomorphism that is not Anosov, Trans. AMS., 223 (1976), 267–278.Google Scholar
[3] Hirsch, M. and Pugh, C., Stable manifolds and hyperbolic sets, in Global Analysis, Proc. Sympos. Pure Math. AMS., 14 (1970), 133–163.Google Scholar
[4] Hirsch, M., Palis, J., Pugh, and Shub, M., Neighborhoods of hyperbolic sets, Invent. Math., 9(1970), 121–134.Google Scholar
[5] Mañé, R., Quasi-Anosov diffeomorphisms and hyperbolic manifolds, Trans. AMS., 229(1977), 351–370.Google Scholar
[6] Mañé, R., A proof of the C1 stability conjecture, Publ. Math. IHES., 66 (1987), 161–210.Google Scholar
[7] Morimoto, A., The method of pseudo orbit tracing property and stability, Tokyo Univ. Seminary Notes 39, 1979. (In Japanese.)Google Scholar
[8] Moriyasu, K., Topological stability of diffeomorphisms, Nagoya Math J., 123 (1991), 91–102.Google Scholar
[9] Palis, J., On the C1 γ-stability conjecture, Publ. Math. IHES, 66 (1987), 211–215.Google Scholar
[10] Przytycki, F., Anosov endomorphisms, Studia Math., 58 (1976), 249–283.Google Scholar
[11] Robinson, C., Stability theorem and hyperbolicity in dynamical systems, Rocky Mountain J. Math., 7 (1977), 425–437.Google Scholar
[12] Sakai, K., Quasi-Anosov diffemorphisms and pseudo orbit tracing property, Nagoya Math. J., 111 (1988), 111–114.Google Scholar