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Abstract
We study shadowing property for a partially hyperbolic diffeomor- phism f. It is proved that if f is dynamically coherent then any pseudotrajec- tory can be shadowed by a pseudotrajectory with “jumps” along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
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Authors (2)
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Sergey Tikhomirov Professor
- Free University of Berlin
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.3934/dcds.2013.33.2901
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
no. 33,
pages 2901 - 2909,
ISSN: 1078-0947 - Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Kryzhevich S., Tikhomirov S.: Partial hyperbolicity and central shadowing// DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS -Vol. 7, (2013), s.2901-2909
- DOI:
- Digital Object Identifier (open in new tab) 10.3934/dcds.2013.33.2901
- Sources of funding:
-
- COST_FREE
- Verified by:
- Gdańsk University of Technology
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