🚀 go-pugleaf

  Greetings!
  I am currently completing an undergrad prac on the lorenz attractor, and 
I'm having some trouble with the aperiodicity of the attractor. Having spent 
some time looking at lots of pretty pictures, I can accept with no worries 
the idea that the whole structure forms an infinite layering effect, and 
therefore the attractor can easily be aperiodic.

  The problem is how to say this in a report. Is there any proof that the 
attractor is aperiodic?? Some texts refer to the extreme unlikelihood(?) of 
this, but this only implies that periodicity does occur. If it does, can it 
be pinned down? Is there then any test for periodicity vs. aperiodicity, eg. 
values for sigma, b and r, or do the initial conditions ruin all hope?? 
Other texts seem to take it for granted that it is aperiodic. Is the problem 
the fact that it is simulated in a computer, which theoretically is not 
cabable of resolving ifinitesimal differences?

  Before anyone tells me to read Sparrow, it's been stolen/hidden in our 
library.

  All help/info/ideas gladly accepted!!

  Cheers,
  Marty.