Example: A Coupled Lorenz System

 

(Should the superscript on the last two terms in the fifth eqn. both be s?)

 

Two very different time scales: fast (f) and slow (s)

•not meant to be physical (although one can't help but wonder...);

•two time scales illustrate the issue;

•constants are the standard Lorenz-model values.

The authors of [6] demonstrate that the LCE does NOT characterize predictabilty time.