Inferring statistical complexity
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- July 1989
- DOI:
- 10.1103/PhysRevLett.63.105
- Bibcode:
- 1989PhRvL..63..105C
- Keywords:
-
- 05.20.-y;
- 03.65.Bz;
- 05.45.+b;
- 05.70.Fh;
- Classical statistical mechanics;
- Phase transitions: general studies