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Partial hyperbolicity and central shadowing

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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DOI
Digital Object Identifier link open in new tab 10.3934/dcds.2013.33.2901
Category
Publikacja w czasopiśmie
Type
artykuły w czasopismach
Language
angielski
Publication year
2013

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