- #1

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I understand that certain nonlinear systems can sometimes exhibit chaotic behavior, but without getting into the mathematical details, it seems that no one can really explain why. The chaotic functions themselves all seem arbitrary and very different from one another. They produce different patterns, with different properties, and sometimes fail to produce chaos at all. It appears to me (the uninitiated observer) that all the chaotic functions we know of were stumbled upon by accident, or derived from complex mathematical formula.

I suppose what I'm asking is, does there exists a generalized formula for chaos? One that includes in it the abilities of all the others? Or at least a uniting principle in the construction of chaotic functions? One that I could use to devise my own functions for my own needs?

I'm sorry if I'm being vague. It's hard for me to explain what I'm asking...