Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661421 | Topology and its Applications | 2007 | 9 Pages |
Abstract
Let f be a continuous map from a compact metric space X to itself. The map f is called to be P-chaotic if it has the pseudo-orbit-tracing property and the closure of the set of all periodic points for f is equal to X. We show that every P-chaotic map from a continuum to itself is chaotic in the sense of Devaney and exhibits distributional chaos of type 1 with positive topological entropy.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology