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On the predictability of discrete dynamical systems II |
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| Authors: | Nilson C. Bernardes Jr. |
| Affiliation: | Instituto de Matemática, Universidade Federal Fluminense, Rua Mário Santos Braga s/n, 24020-140, Niterói, RJ, Brasil |
| Abstract: | Given a metrizable compact topological  -manifold  with boundary and a metric  compatible with the topology of  , we prove that ``most' continuous functions  are non-sensitive at ``most' points of  but are sensitive at every point of an infinite set which is dense in the set of all periodic points of  . We also establish some results concerning sets of periodic points and non-wandering points. |
| Keywords: | Topological manifolds continuous functions Baire category measures non-sensitivity periodic points non-wandering points |
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