ABSTRACT

In this chapter we continue the discussion of measurements of chaos started in Chapter III. As mentioned there, topological entropy is a quantity which is used in the mathematical study of dynamical systems. A newcomer to the subject often has difficulty understanding exactly what is being measured from the definition of topological entropy itself. We calculate the entropy of a few simple situations. We also relate the entropy to horseshoes caused by homoclinic points and Markov partitions for Anosov diffeomorphisms. Hopefully, after seeing these examples, the reader will gain an understanding of the concept.