Entropy and volume as measures of orbit complexity
Topological entropy and volume growth of smooth disks are considered as measures of the orbit complexity of a smooth dynamical system. In many cases, topological entropy can be estimated via volume growth. This gives methods of estimating dynamical invariants of transient and attracting sets and may apply to time series.
KeywordsStrange Attractor Volume Growth Topological Entropy Riemann Sphere Dynamical Invariant
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