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Attractors in continuous and Boolean networks

Författare:
  • Johannes Norell
  • Björn Samuelsson
  • Joshua E. S. Socolar
Publiceringsår: 2007
Språk: Engelska
Sidor:
Publikation/Tidskrift/Serie: Physical Review E
Volym: 76
Nummer: 4
Dokumenttyp: Artikel
Förlag: American Physical Society

Sammanfattning

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.

Disputation

Nyckelord

  • Physics and Astronomy

Övrigt

Published
Yes
  • ISSN: 1550-2376
  • ISSN: 1539-3755

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