Title:
|
Shadowing lemma for family of $\varepsilon$-trajectories (English) |
Author:
|
Nadzieja, Tadek |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
27 |
Issue:
|
1 |
Year:
|
1991 |
Pages:
|
65-77 |
. |
Category:
|
math |
. |
MSC:
|
37C10 |
MSC:
|
37D99 |
idZBL:
|
Zbl 0763.58021 |
idMR:
|
MR1189643 |
. |
Date available:
|
2008-06-06T06:22:48Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107405 |
. |
Reference:
|
[1] D. Anosov: Geodesic flows on closed Riemannian manifolds of negative curvature.Proceedings of the Steklov Institute of Mathematical 90 (1967) (American Mathematical Society translation). MR 0224110 |
Reference:
|
[2] R. Bowen: Periodic orbits for hyperbolic flows.American Journal of Mathematics 94 (1972) 1-30. Zbl 0254.58005, MR 0298700 |
Reference:
|
[3] R. Bowen: Symbolic dynamics for hyperbolic flows.American Journal of Mathematics 95 (1973), 421-460. Zbl 0282.58009, MR 0339281 |
Reference:
|
[4] J. E. Franke J. F. Selgrade: Hyperbolicity and chain recurrence.Journal of Differential Equations 26 (1977), 27-36. MR 0467834 |
Reference:
|
[5] K. Kato A. Morimoto: Topological stability of Anosov flows and theirs centralizers.Topology 12 (1973), 255-273. MR 0326779 |
Reference:
|
[6] K. Kato A. Morimoto: Topological $\Sigma$-stability of Axiom A flows with no $\Sigma$-explosions.Journal of Differential Equations 34 (1979), 464-481. MR 0555322 |
Reference:
|
[7] A. Katok: Local properties of hyperbolic sets.(in Russian), appendix to the Russian edition of book: Z. Nitecki Differentiable Dynamics, Mir, 1975, 219-232. |
Reference:
|
[8] J. Moser: On a theorem of Anosov.Journal of Differential Equations 5 (1969), 411-440. Zbl 0169.42303, MR 0238357 |
Reference:
|
[9] Z. Nitecki: Differentiable Dynamics.The MIT Press, 1972. |
Reference:
|
[10] P. Walters: Asosov diffeomorphisms are topologically stable.Topology 9 (1970), 71-78. MR 0254862 |
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