The average-shadowing property and topological ergodicity
Abstract
In this note we prove that a Lyapunov stable map having the average-shadowing property from a compact metric space onto itself is topologically ergodic, but it is not topologically weakly mixing.
- Publication:
-
Journal of Computational and Applied Mathematics
- Pub Date:
- September 2007
- Bibcode:
- 2007JCoAM.206..796G
- Keywords:
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- The average-shadowing property;
- Lyapunov stable;
- Topologically ergodic