The topological entropy of a return map
can be computed by partitioning the
phase space, computing Markov type transition
matrices according to the Rules
and
for lower and upper bounds, computing the
largest eigenvalue for these matrices,
and taking logarithms. There are two simpler
ways to estimate the topological entropy
of a map. One depends on the properties
of periodic orbits associated with the map.
This method will be described in the
present Section. The second method relies
on the properties of the symbol string
representing a chaotic trajectory. It will
be described in the following Section.