Define the ``information function'' to be

(1) |

(2) |

(3) |

If every element is equally likely to be visited, then is independent of , and

(4) |

(5) |

(6) |

where is the Capacity Dimension.

**References**

Farmer, J. D. ``Chaotic Attractors of an Infinite-dimensional Dynamical System.'' *Physica D* **4**, 366-393,
1982.

Nayfeh, A. H. and Balachandran, B. *Applied Nonlinear Dynamics: Analytical, Computational, and Experimental
Methods.* New York: Wiley, pp. 545-547, 1995.

© 1996-9

1999-05-26