Attractors in continuous and Boolean networks.

Journal Article (Journal Article)

We study the stable attractors of a class of continuous dynamical systems that may be idealized as networks of Boolean elements, with the goal of determining which Boolean attractors, if any, are good approximations of the attractors of generic continuous systems. We investigate the dynamics in simple rings and rings with one additional self-input. An analysis of switching characteristics and pulse propagation explains the relation between attractors of the continuous systems and their Boolean approximations. For simple rings, "reliable" Boolean attractors correspond to stable continuous attractors. For networks with more complex logic, the qualitative features of continuous attractors are influenced by inherently non-Boolean characteristics of switching events.

Full Text

Duke Authors

Cited Authors

  • Norrell, J; Samuelsson, B; Socolar, JES

Published Date

  • October 2007

Published In

Volume / Issue

  • 76 / 4 Pt 2

Start / End Page

  • 046122 -

PubMed ID

  • 17995075

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.76.046122


  • eng