We study shadowing property for partially hyperbolic diffeomorphisms $f$. It is proved that if $f$ is dynamically coherent then any pseudotrajectory can be shadowed by a pseudotrajectory with ``jumps'' along central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
Original languageEnglish
Pages (from-to)2901-2909
JournalDiscrete and Continuous Dynamical Systems
Volume33
Issue number7
DOIs
StatePublished - 2013

    Research areas

  • partial hyperbolicity, center foliation, Lipschitz shadowing, dynamical coherence

ID: 7376539