scott wrote:
>>> Now, if you add more than one attractor.....
>>
>> ...it goes completely scatty! o_O
> 
> It's called chaos :-)

Well, if you wanted to be technical about it, it's "chaos" if 
arbitrarily close starting points diverge violently. ;-)

But yes, I'm pretty sure this system possesses such a property. Now, to 
graph it.....

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