chaotic systems have "attractors" or stable repeating phenomena by definition, pattern just has to be discovered.

http://en.wikipedia.org/wiki/Chaos_theory

Cool to read up on this.

In quantum mechanics when a quanta is released/absorbed the energy of the particle goes up/down one whole step. A gradual change from point A to B does not happen. I don't see why it should not so happen in economic cricumstances when the enrgy goes out of the system all at once. We fall to a new steady state. Economists, stock market watchers and historians have observed lots of chaotic patterns in history, the chaotic "attractors" seem to be similar to the seasons, 4 year cycle, average human life span, civilizational cycle, etc. If Larouche can't find a cyclical ("chaotic") pattern in this systemic breakdown which fits he could read Diamond.

What you are discribing is a State Change or Phase Change, Like when a whole school of fish suddenly turn right.

Liquid to solid. All at once.

Complex Systems Break Down Chaoticly

Chaotically, and in our case due to multiple forces of environmental friction and degradation, rapidly.