paper available
mm@santafe.edu
mm at santafe.edu
Fri Jun 18 14:35:36 EDT 1993
The following paper is available by public ftp.
Dynamics, Computation, and the ``Edge of Chaos'': A Re-Examination
Melanie Mitchell James P. Crutchfield Peter T. Hraber
Santa Fe Institute UC Berkeley Santa Fe Institute
Santa Fe Institute Working Paper 93-06-040
Abstract
In this paper we review previous work and present new work
concerning the relationship between dynamical systems theory and computation.
In particular, we review work by Langton (1990) and Packard (1988) on the
relationship between dynamical behavior and computational capability in
cellular automata (CA). We present results from an experiment similar to
the one described in Packard (1988), that was cited there as evidence for
the hypothesis that rules capable of performing complex computations are most
likely to be found at a phase transition between ordered and chaotic behavioral
regimes for CA (the "edge of chaos").
Our experiment produced very different results from the original
experiment, and we suggest that the interpretation of the original results is
not correct. We conclude by discussing general issues related to dynamics,
computation, and the "edge of chaos" in cellular automata.
To appear in G. Cowan, D. Pines, and D. Melzner (editors),
_Integrative Themes_. Santa Fe Institute Stuides in the
Sciences of Complexity, Proceedings Volume 19. Reading, MA: Addison-Wesley.
Note: This paper is a much shorter version of our paper "Revisiting the
Edge of Chaos" (SFI Working Paper 93-03-014, announced previously on this
newsgroup). It contains an expanded review of previous work on relationships
between dynamical systems theory and computation.
To obtain an electronic copy:
ftp santafe.edu
login: anonymous
password: <your email address>
cd /pub/Users/mm
binary
get sfi-93-06-040.ps.Z
quit
Then at your system:
uncompress sfi-93-06-040.ps.Z
lpr -P<printer-name> sfi-93-06-040.ps
To obtain a hard copy (only if you cannot obtain an electronic copy), send a
request to dlu at santafe.edu.
More information about the Connectionists
mailing list