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Attractors in continuous and Boolean networks

På svenska

Author

  • Johannes Norell
  • Björn Samuelsson
  • Joshua E. S. Socolar

Summary, in English

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.

Publishing year

2007

Language

English

Publication/Series

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

76

Issue

4

Document type

Journal article

Publisher

American Physical Society

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Zoology

Status

Published

ISBN/ISSN/Other

  • ISSN: 1539-3755