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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
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Category: math
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MSC: 37C10
MSC: 37D99
idZBL: Zbl 0763.58021
idMR: MR1189643
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Date available: 2008-06-06T06:22:48Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107405
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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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