Article Contents
Article Contents

# Partial hyperbolicity and central shadowing

• 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.
Mathematics Subject Classification: 37C50, 37D30.

 Citation:

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