On the predictability of discrete dynamical systems II
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- by Nilson C. Bernardes Jr. PDF
- Proc. Amer. Math. Soc. 133 (2005), 3473-3483 Request permission
Abstract:
Given a metrizable compact topological $n$-manifold $X$ with boundary and a metric $d$ compatible with the topology of $X$, we prove that “most” continuous functions $f : X \to X$ are non-sensitive at “most” points of $X$ but are sensitive at every point of an infinite set which is dense in the set of all periodic points of $f$. We also establish some results concerning sets of periodic points and non-wandering points.References
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Additional Information
- Nilson C. Bernardes Jr.
- Affiliation: Instituto de Matemática, Universidade Federal Fluminense, Rua Mário Santos Braga s/n, 24020-140, Niterói, RJ, Brasil
- Email: ganncbj@vm.uff.br
- Received by editor(s): October 2, 2002
- Received by editor(s) in revised form: July 2, 2004
- Published electronically: June 7, 2005
- Communicated by: Alan Dow
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3473-3483
- MSC (2000): Primary 37B25, 37B20, 54H20; Secondary 54E52, 54C35
- DOI: https://doi.org/10.1090/S0002-9939-05-07924-4
- MathSciNet review: 2163582