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Attractors in continuous and Boolean networks.

Publication ,  Journal Article
Norrell, J; Samuelsson, B; Socolar, JES
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
October 2007

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.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

October 2007

Volume

76

Issue

4 Pt 2

Start / End Page

046122

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Norrell, J., Samuelsson, B., & Socolar, J. E. S. (2007). Attractors in continuous and Boolean networks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 76(4 Pt 2), 046122. https://doi.org/10.1103/physreve.76.046122
Norrell, Johannes, Björn Samuelsson, and Joshua E. S. Socolar. “Attractors in continuous and Boolean networks.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 76, no. 4 Pt 2 (October 2007): 046122. https://doi.org/10.1103/physreve.76.046122.
Norrell J, Samuelsson B, Socolar JES. Attractors in continuous and Boolean networks. Physical review E, Statistical, nonlinear, and soft matter physics. 2007 Oct;76(4 Pt 2):046122.
Norrell, Johannes, et al. “Attractors in continuous and Boolean networks.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 76, no. 4 Pt 2, Oct. 2007, p. 046122. Epmc, doi:10.1103/physreve.76.046122.
Norrell J, Samuelsson B, Socolar JES. Attractors in continuous and Boolean networks. Physical review E, Statistical, nonlinear, and soft matter physics. 2007 Oct;76(4 Pt 2):046122.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

October 2007

Volume

76

Issue

4 Pt 2

Start / End Page

046122

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences