1995/10/27 by Amartya Bhattacharjya, Bhattacharjya, Amartya, Shoudan Liang +1
Computer Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9510154
14 pages, LaTeX, 4 Postscript figures available upon request
arxiv created 1995/10/27 · openalex publication_date 1995/10/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Kauffman net is a dynamical system of logical variables receiving two random inputs and each randomly assigned a boolean function. We show that the attractor and transient lengths exhibit scaleless behavior with power-law distributions over up to ten orders of magnitude. Our results provide evidence for the existence of the "edge of chaos" as a distinct phase between the ordered and chaotic regimes analogous to a critical point in statistical mechanics. The power-law distributions are robust to the changes in the composition of the transition rules and network dynamics.