Attractors in continuous and Boolean networks
Författare
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.
Publiceringsår
2007
Språk
Engelska
Publikation/Tidskrift/Serie
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volym
76
Issue
4
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
American Physical Society
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
- Zoology
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1539-3755