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A note on odometers and shadowing

open access: yesColloquium Mathematicum
For a continuous self-map of a compact metric space, we provide a sufficient condition for the orbit of a point to converge to a periodic orbit or an odometer. We show that if a continuous self-map of a compact metric space has the shadowing property, then the set of points whose orbits converge to periodic orbits or odometers is dense.
openaire   +2 more sources

Visual Odometer [PDF]

open access: yesEngineering Journal: Science and Innovation, 2012
openaire   +1 more source

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