Partial hyperbolicity and central shadowing

Details Partial hyperbolicity and central shadowing Partial hyperbolicity and central shadowing

2011-12-19

arxiv.org/abs/1112.4272v2

Mathematics

Dynamical Systems

11 pages, 3 figures

Scientific paper

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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