hmmh, what I got out of it was a little different ... simple deterministic systems can have surprisingly complex emergent behavior that is quite hard to predict.
normally, if you disturb a system three things can happen, it can be stable, it can explode, or it can oscillate. corresponding to e^x where x is a complex number or a matrix.
but actually in the liminal area at the edge of cyclical behavior there is a mode that is neither cyclical nor stable and it happens quite a bit and is responsible for many interesting and important phenomena and systems.
there isn't much regularity, the only way to predict is a model of the evolution of the whole system which is highly sensitive to small disturbances or measurement errors.
normally, if you disturb a system three things can happen, it can be stable, it can explode, or it can oscillate. corresponding to e^x where x is a complex number or a matrix.
but actually in the liminal area at the edge of cyclical behavior there is a mode that is neither cyclical nor stable and it happens quite a bit and is responsible for many interesting and important phenomena and systems.
there isn't much regularity, the only way to predict is a model of the evolution of the whole system which is highly sensitive to small disturbances or measurement errors.