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.

References

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