Hostname: page-component-848d4c4894-2xdlg Total loading time: 0 Render date: 2024-06-16T13:56:42.596Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-Anosov diffeomorphisms and pseudo-orbit tracing property

Published online by Cambridge University Press:  22 January 2016

Kazuhiro Sakai
Kazuhiro Sakai*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Tokyo, Japan
*
Kisarazu National College of Technology, 2-11-1, Kiyomidai-higashi, Kisarazu-shi, Chiba-ken 292, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let M be a compact boundaryless C∞-manifold, and let Diff (M) be the space of C1-diffeomorphisms of M endowed with the C1-topology. An Axiom A diffeomorphism is said to satisfy the strong transversality condition if for every x∊M, TxM = TxW3(x) + TxWu(x).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 111 , September 1988 , pp. 111 - 114
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

[1] Franks, J. and Robinson, C., A quasi-Anosov diffeomorphism that is not Anosov, Trans. Amer. Math. Soc., 223 (1976), 267–278.Google Scholar
[2] Lewowicz, J., Lyapunov functions and topological stability, J. Differential Equations, 38 (1980), 192–209.CrossRefGoogle Scholar
[3] Manñé, R., Quasi-Anosov diffeomorphisms and hyperbolic manifolds, Trans. Amer. Math. Soc., 229 (1977), 351–370.CrossRefGoogle Scholar
[4] Morimoto, A., The method of pseudo-orbit tracing property and stability, Tokyo Univ. Seminary Notes 39, 1979. (In Japanese.)Google Scholar