Phys. Rev. Lett. 63, 105–108 (1989)Inferring statistical complexityReceived 13 December 1988; published in the issue dated 10 July 1989 Statistical mechanics is used to describe the observed information processing complexity of nonlinear dynamical systems. We introduce a measure of complexity distinct from and dual to the information theoretic entropies and dimensions. A technique is presented that directly reconstructs minimal equations of motion from the recursive structure of measurement sequences. Application to the period-doubling cascade demonstrates a form of superuniversality that refers only to the entropy and complexity of a data stream. © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.63.105
DOI:
10.1103/PhysRevLett.63.105
PACS:
05.20.-y, 03.65.Bz, 05.45.+b, 05.70.Fh
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