Entropy and volume as measures of orbit complexity

  • Sheldon E. Newhouse
A. Classical Nonlinear Dynamics and Chaos
Part of the Lecture Notes in Physics book series (LNP, volume 278)


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.


Strange Attractor Volume Growth Topological Entropy Riemann Sphere Dynamical Invariant 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Sheldon E. Newhouse
    • 1
  1. 1.Mathematics DepartmentUniversity of North CarolinaChapel Hill

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