Datruth,
As usual, you missed the entire point of my post. "Chaotic" is a word used to describe orderly systems which are still unpredictable without actually running the system (or the simulation). There is no f(t) which lets you plug in a value of t and determine the outcome. You must actually let it happen and see what does. Systems which are predictable are known as 'deterministic' or 'classical'. Systems which have no repeatability or order whatsoever are called 'stochastic' or just random. The spectrum in the middle of systems which are not deterministic but also not completely random are what the term "chaotic" was invented for. Snowflakes, clouds, fingerprints, stock market graphs. All look like each other but no two are alike. The pattern of chocolate syrup being stirred into a glass of milk... if it was truly random, and you stirred long enough, do you think you could separate the milk from the chocolate again?
It isn't random. But it is inherently impossible to predict as well.
To the other poster who asked a question of me, if you rerun the same simulation with the same variables, yes you will get the same answer. This is fine and dandy in computer simulations of artificial chaotic systems, but in the "real world" the issue is that you *never* have all the variables, let alone run them exactly the same way twice. This is what "the butterfly effect" really means.
- Vengeance
