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Topological Entropy

The topological entropy of a Map $M$ is defined as

h_T(M)=\sup_{\{W_i\}} h(M,\{W_i\}),

where $\{W_i\}$ is a partition of a bounded region $W$ containing a probability measure which is invariant under $M$, and sup is the Supremum.


Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 143-144, 1993.

© 1996-9 Eric W. Weisstein