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Porträttbild. Foto.

Carl Troein

Forskare

Porträttbild. Foto.

Random maps and attractors in random Boolean networks

Författare

  • Björn Samuelsson
  • Carl Troein

Summary, in English

Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per node can be seen as graphs of random maps. We introduce an approach to investigating random maps and finding analytical results for attractors in random Boolean networks with the corresponding topology. Approximating some other non-chaotic networks to be of this class, we apply the analytic results to them. For this approximation, we observe a strikingly good agreement on the numbers of attractors of various lengths. We also investigate observables related to the average number of attractors in relation to the typical number of attractors. Here, we find strong differences that highlight the difficulties in making direct comparisons between random Boolean networks and real systems. Furthermore, we demonstrate the power of our approach by deriving some results for random maps. These results include the distribution of the number of components in random maps, along with asymptotic expansions for cumulants up to the fourth order.

Avdelning/ar

  • Beräkningsbiologi och biologisk fysik - Genomgår omorganisation
  • Funktionell zoologi

Publiceringsår

2005

Språk

Engelska

Publikation/Tidskrift/Serie

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

Volym

72

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

American Physical Society

Ämne

  • Zoology
  • Biophysics

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1539-3755