Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9718272 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 7 Pages |
Abstract
We use ideas of symbolic dynamics to define the topological entropy h(S) for a piecewise continuous piecewise monotone interval map S by counting the n-addresses of S with respect to a suitable system of pairwise disjoint open intervals. It turns out that this definition yields the same value as Bowen's definition using (n,ε)-separated and (n,ε)-spanning sets.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
C. Kopf,