Partial hyperbolicity and central shadowing
classification
🧮 math.DS
keywords
centralpseudotrajectoryshadowingalongcoherentdiffeomorphismdynamicallyfixed
read the original 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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