🚀 go-pugleaf

In article <10642749.4.718355983@eng2.eng.monash.edu.au> 10642749@eng2.eng.monash.edu.au (MARTIN OLBRICH) writes:
>  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?? 

Along this line, there just appeared in the latest (Oct. 1992) issue
of Bulletin of the American Mathematical Society, 27:2, pp. 298-303

Hastings, S. P., and Troy, W. C. "A Shooting Approach to the Lorenz Equations"

    Abstract.  We announce the outline of a proof of the existence of a
    homoclinic orbit of the Lorenz equations.  In addition, we develop a
    shooting technique and two key conditions, which lead to the existence
    of a one-to-one correspondence between a set of solutions and the set
    of all infinite sequences of 1's and 3's.


-- 
Kevin McCarty (kmc@netcom.com)