Bartolo Luque et al 2005 J. Phys. A: Math. Gen. 38 1031 doi:10.1088/0305-4470/38/5/005
Bartolo Luque1, Fernando J Ballesteros2 and Manuel Fernández1
Show affiliationsSeveral order parameters have been considered to predict and characterize the transition between ordered and disordered phases in random Boolean networks, such as the Hamming distance between replicas or the stable core, which have been successfully used. In this work, we propose a natural and clear new order parameter: the temporal variance. We compute its value analytically and compare it with the results of numerical experiments. Finally, we propose a complexity measure based on the compromise between temporal and spatial variances. This new order parameter and its related complexity measure can be easily applied to other complex systems.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
64.60.Cn Order–disorder transformations
02.50.-r Probability theory, stochastic processes, and statistics
Issue 5 (4 February 2005)
Received 15 July 2004, in final form 13 October 2004
Published 19 January 2005
Bartolo Luque et al 2005 J. Phys. A: Math. Gen. 38 1031
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