scott wrote:
>> But yes, I'm pretty sure this system possesses such a property. 
> 
> It might depend on how much damping you give it.

Doubt it.

Consider a point exactly between two attractors. A particle at this 
point experiences zero resultant force. Purturbing the point by any 
finite amount to either side will make the resultant force non-zero. 
This will cause a different path to be traced, regardless of how much 
damping is applied.

In general, applying more damping makes the system *less* unstable, but 
does not remove areas of chaotic behavious; it just makes them smaller.

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