Mathematical models that use instabilities to describe changes of weather patterns or spacecraft trajectories are well established. Could such principles apply to the sense of smell, and to other aspects of neural computation?
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Controllable branching of robust response patterns in nonlinear mechanical resonators
Nature Communications Open Access 11 January 2023
-
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
The Journal of Mathematical Neuroscience Open Access 27 May 2020
-
A neural coding scheme reproducing foraging trajectories
Scientific Reports Open Access 09 December 2015
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
References
Rabinovich, M. et al. Phys. Rev. Lett. 87, 068102 (2001).
Huerta, R. et al. Neural Comput. 16, 1601–1640 (2004).
Huerta, R. & Rabinovich, M. Phys. Rev. Lett. 93, 238104 (2004).
Stewart, I. Nature 422, 571–573 (2003).
Taubes, G. Science 283, 620–622 (1999).
Hansel, D., Mato, G. & Meunier, C. Phys. Rev. E 48, 3470–3477 (1993).
Kori, H. & Kuramoto, Y. Phys. Rev. E 62, 046214 (2001).
Hopfield, J. J. Proc. Natl Acad. Sci. USA 79, 2554–2558 (1982).
Laurent, G. Nature Rev. Neurosci. 3, 884–895 (2002).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ashwin, P., Timme, M. When instability makes sense. Nature 436, 36–37 (2005). https://doi.org/10.1038/436036b
Published:
Issue Date:
DOI: https://doi.org/10.1038/436036b
This article is cited by
-
Controllable branching of robust response patterns in nonlinear mechanical resonators
Nature Communications (2023)
-
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
The Journal of Mathematical Neuroscience (2020)
-
Brain Performance versus Phase Transitions
Scientific Reports (2015)
-
A neural coding scheme reproducing foraging trajectories
Scientific Reports (2015)
-
Physiology-based modeling of cortical auditory evoked potentials
Biological Cybernetics (2008)