Dynamics of Boolean networks: an exact solution

Alexander Mozeika, David Saad

Research output: Contribution to journalArticle

Abstract

The dynamics of Boolean networks (BN) with quenched disorder and thermal noise is studied via the generating functional method. A general formulation, suitable for BN with any distribution of Boolean functions, is developed. It provides exact solutions and insight into the evolution of order parameters and properties of the stationary states, which are inaccessible via existing methodology. We identify cases where the commonly used annealed approximation is valid and others where it breaks down. Broader links between BN and general Boolean formulas are highlighted.
Original languageEnglish
Article number214101
Pages (from-to)214101
Number of pages1
JournalPhysical Review Letters
Volume106
Issue number21
DOIs
Publication statusPublished - 24 May 2011

Bibliographical note

© 2011 The American Physical Society

Keywords

  • Boolean networks
  • quenched disorder and thermal noise
  • general formulation
  • Boolean formulas
  • cond-mat.dis-nn

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