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

DOI10.1016/S0167-2789(97)00243-1zbMath0938.82043arXivcond-mat/9708213WikidataQ58042943 ScholiaQ58042943MaRDI QIDQ1963759

U. Bastolla, Giorgio Parisi

Publication date: 7 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9708213

zbMATH Keywords

cellular automatadisordered systemsrandom Boolean networksprobability distributionsgenetic regulatory networksKauffman networksrandom networks of automata

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Cellular automata (computational aspects) (68Q80) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Dynamical aspects of cellular automata (37B15)

Related Items (11)

Dynamical criticality in gene regulatory networks ⋮ Percolation in bipartite Boolean networks and its role in sustaining life ⋮ A NUMERICAL INVESTIGATION OF THE CRITICAL PHASE OF RANDOM BOOLEAN NETWORKS ⋮ The modular structure of Kauffman networks ⋮ Boolean dynamics of Kauffman models with a scale-free network ⋮ The formation of the frozen core in critical Boolean networks ⋮ SYNCHRONIZATION OF COUPLED EXTENDED DYNAMICAL SYSTEMS: A SHORT REVIEW ⋮ Using the renormalization group to classify Boolean functions ⋮ SIMPLIFYING BOOLEAN NETWORKS ⋮ Closing probabilities in the Kauffman model: An annealed computation ⋮ Dynamical regimes in non-ergodic random Boolean networks

Cites Work

• Unnamed Item
• Closing probabilities in the Kauffman model: An annealed computation
• The modular structure of Kauffman networks
• Exact solution of Kauffman's model with connectivity one
• An order parameter for networks of automata
• Attractors in fully asymmetric neural networks

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