Boolean dynamics with random couplings

M Aldana, S Coppersmith, LP Kadanoff - … A celebratory Volume in Honor of …, 2003 - Springer
This paper reviews a class of generic dissipative dynamical systems called NK models. In
these models, the dynamics of N elements, defined as Boolean variables, develop step by …

Superpolynomial growth in the number of attractors in Kauffman networks

B Samuelsson, C Troein - Physical Review Letters, 2003 - APS
The Kauffman model describes a particularly simple class of random Boolean networks.
Despite the simplicity of the model, it exhibits complex behavior and has been suggested as …

GOAL: a load-balanced adaptive routing algorithm for torus networks

A Singh, WJ Dally, AK Gupta, B Towles - ACM SIGARCH Computer …, 2003 - dl.acm.org
We introduce a load-balanced adaptive routing algorithm for torus networks, GOAL-Globally
Oblivious Adaptive Locally-that provides high throughput on adversarial traffic patterns …

Perturbation avalanches and criticality in gene regulatory networks

P Rämö, J Kesseli, O Yli-Harja - Journal of Theoretical Biology, 2006 - Elsevier
Boolean networks are simplified models of gene regulatory networks. We derive an
approximation of the size distribution of perturbation avalanches in Boolean networks based …

On the criticality of adaptive Boolean network robots

M Braccini, A Roli, E Barbieri, SA Kauffman - Entropy, 2022 - mdpi.com
Systems poised at a dynamical critical regime, between order and disorder, have been
shown capable of exhibiting complex dynamics that balance robustness to external …

Self-organized networks of competing boolean agents

M Paczuski, KE Bassler, Á Corral - Physical Review Letters, 2000 - APS
A model of Boolean agents competing in a market is presented where each agent bases his
action on information obtained from a small group of other agents. The agents play a …

The modular structure of Kauffman networks

U Bastolla, G Parisi - Physica D: Nonlinear Phenomena, 1998 - Elsevier
This is the second paper of two about the structural properties that influence the asymptotic
dynamics of random boolean networks. Here we study the functionally independent clusters …

Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study

U Bastolla, G Parisi - Physica D: Nonlinear Phenomena, 1998 - Elsevier
This is the first of two papers about the structure of Kauffman networks. In this paper we
define the relevant elements of random networks of automata, following previous work by …

Ordered and disordered dynamics in random networks

L Glass, C Hill - Europhysics Letters, 1998 - iopscience.iop.org
Random Boolean networks that model genetic networks show transitions between ordered
and disordered dynamics as a function of the number of inputs per element, K, and the …

Boolean dynamics with random couplings

L Kadanoff, S Coppersmith, M Aldana - arXiv preprint nlin/0204062, 2002 - arxiv.org
This paper reviews a class of generic dissipative dynamical systems called NK models. In
these models, the dynamics of N elements, defined as Boolean variables, develop step by …