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Shift-invariant sets and the shadowing property of hyperbolic iterated function systems. (English) Zbl 1077.37021

Using the fact that the dynamics on the attractor of a hyperbolic iterated function system is a factor of a symbolic shift, orbit shadowing properties for such systems are established and discussed.

MSC:

37B99 Topological dynamics
37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics
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