[FRIAM] Lyapunov Exponent

[Carlos Gershenson]

> A similar measure, as far as I know, is not available for description
> of Complex systems .. one that offers a solution to the inclusion
> principal for Complex processes.

Well, no, because every system can be described as complex...
same for emergent properties, it all depends on the context...
In other words, there are no "simple" systems, but certainly there  
are some systems more complex than others, under a specific frame of  
reference.

My notion of complexity is:
The complexity of a system scales with the number of its elements,  
the number of interactions between them, the complexities of the  
elements, and the complexities of the interactions

This is recursive, so you can apply it to any system, you just need  
to set a common level/context to compare any two systems. However, I  
don't think it might be more useful for a particular context where  
there is already an established complexity measure than that  
particular measure.

I first proposed it on
http://uk.arxiv.org/abs/nlin.AO/0109001
(that was some time ago! I need to refresh my philosophical ideas...)
and for those who prefer equations, it is formally expressed in
http://uk.arxiv.org/abs/nlin.AO/0505009 (equation (1))

Best regards,

     Carlos Gershenson...
     Centrum Leo Apostel, Vrije Universiteit Brussel
     Krijgskundestraat 33. B-1160 Brussels, Belgium
     http://homepages.vub.ac.be/~cgershen/

   “Tendencies tend to change...”