Attractors in continuous and Boolean networks
(2007) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 76(4).- Abstract
- 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1260874
- author
- Norell, Johannes ; Samuelsson, Björn LU and Socolar, Joshua E. S.
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
- volume
- 76
- issue
- 4
- article number
- 046122
- publisher
- American Physical Society
- external identifiers
-
- scopus:35648994333
- pmid:17995075
- ISSN
- 1539-3755
- DOI
- 10.1103/PhysRevE.76.046122
- language
- English
- LU publication?
- no
- id
- 182864cf-5426-4e79-bc19-f42a5584aff2 (old id 1260874)
- alternative location
- http://link.aps.org/abstract/PRE/v76/e046122
- date added to LUP
- 2016-04-01 12:07:22
- date last changed
- 2022-02-11 02:20:55
@article{182864cf-5426-4e79-bc19-f42a5584aff2,
abstract = {{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.}},
author = {{Norell, Johannes and Samuelsson, Björn and Socolar, Joshua E. S.}},
issn = {{1539-3755}},
language = {{eng}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
title = {{Attractors in continuous and Boolean networks}},
url = {{http://dx.doi.org/10.1103/PhysRevE.76.046122}},
doi = {{10.1103/PhysRevE.76.046122}},
volume = {{76}},
year = {{2007}},
}