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Can complex structures be generically stable in a noisy world?

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1 Author(s)
Grinstein, G. ; IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA

Toom's “NEC” cellular automaton is a simple model or dynamical “rule” that succeeds in producing two-phase coexistence generically, i.e., over a nonzero fraction of its two-dimensional parameter space. This paper reviews and explains the behavior of the NEC rule and discusses the implications of the rule for the generic stabilization of complex structures. Much of the discussion is based on work performed almost twenty years ago by Charles Bennett and the author.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:48 ,  Issue: 1 )

Date of Publication:

Jan. 2004

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