Partial hyperbolicity and central shadowing

Published 19 Dec 2011 in math.DS | (1112.4272v2)

Abstract: We study shadowing property for a partially hyperbolic diffeomorphism $f$. It is proved that if $f$ is dynamically coherent then any pseudotrajectory 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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