Abstract
Kauffman's random Boolean nets are studied on the square lattice by computer simulation comparing parallel and sequential updating of the automata. At the phase transition the fractal dimensions of time and actual damage are found to be independent of the updating method.
This is a preview of subscription content, log in via an institution to check access.
References
S. A. Kauffman,J. Theor. Biol. 22:437–467 (1969).
B. Derrida and Y. Pomeau,Europhys. Lett. 1:45–49 (1986).
B. Derrida and G. Weisbuch,J. Phys. (Paris)48:1297–1303 (1986).
B. Derrida and D. Stauffer,Europhys. Lett. 2:739–754 (1986).
G. Weisbuch and D. Stauffer,J. Phys. (Paris)48:11–18 (1987).
L. De Arcangelis,J. Phys. A Math. Gen. 20:L396-L373 (1987).
D. Stauffer,Phil. Mag. B 56:901–916 (1987).
D. Stauffer, inComputer Simulation and Computer Algebra (Springer, 1988).
A. Hansen,J. Phys. A Mat. Gen. 21:2481 (1988).
L. R. Da Silva,J. Stat. Phys., to appear.
L. R. Da Silva and H. J. Herrmann,J. Stat. Phys. 52:463 (1988).
H. J. Herrmann,J. Stat. Phys. 45:145 (1986).
D. Stauffer, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stölzle, S. Universality two-dimensional Kauffman model for parallel and sequential updating. J Stat Phys 53, 995–1004 (1988). https://doi.org/10.1007/BF01014236
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01014236