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0022-4715/02/1200-0967/0 2002 Plenum Publishing Corporation Journal of Statistical Physics, Vol. 109, Nos. 5/6, December 2002 ( 2002)
 

Summary: 967
0022-4715/02/1200-0967/0 © 2002 Plenum Publishing Corporation
Journal of Statistical Physics, Vol. 109, Nos. 5/6, December 2002 (© 2002)
Numerical and Theoretical Studies of Noise Effects in
the Kauffman Model
X. Qu,1
M. Aldana,1
and Leo P. Kadanoff1
1
The James Franck Institute, The University of Chicago, 5640 South Ellis Avenue, Chicago,
Illinois 60637; e-mail: quxh@uchicago.edu
Received May 14, 2002; accepted July 11, 2002
In this work we analyze the stochastic dynamics of the Kauffman model evolv-
ing under the influence of noise. By considering the average crossing time
between two distinct trajectories, we show that different Kauffman models
exhibit a similar kind of behavior, even when the structure of their basins of
attraction is quite different. This can be considered as a robust property of these
models. We present numerical results for the full range of noise level and obtain
approximate analytic expressions for the above crossing time as a function of
the noise in the limit cases of small and large noise levels.

  

Source: Aldana, Maximino - Centro de Ciencias Físicas, Universidad Nacional Autónoma de México
Ismagilov, Rustem F. - Department of Chemistry, University of Chicago

 

Collections: Chemistry; Physics