The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Asynchronous states in networks of pulse-coupled oscillators
Abstract
We use a mean-field approach to analyze the stability of the asynchronous state in a population of all-to-all, pulse-coupled, nonlinear oscillators. We determine the conditions that must be satisfied by the time constants and phase dependence characterizing the coupling between the oscillators in order for the asynchronous state to be stable. We also consider the effects of noise. This work complements results on synchronous states in similar models and allows us to study the validity of firing-rate models commonly used for neural networks.
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Cites
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270
Hopfield, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.10.3088 · Cited by 6,918
Cited by
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Neurophysiological and Computational Principles of Cortical Rhythms in Cognition
Wang, X.-J. (2010) · Physiological Reviews · doi:10.1152/physrev.00035.2008 · Cited by 1,939
Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates
Brunel, N., & Hakim, V. (1999) · Neural Computation · doi:10.1162/089976699300016179 · Cited by 894
Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory
Wang, X.-J. (1999) · The Journal of Neuroscience · doi:10.1523/jneurosci.19-21-09587.1999 · Cited by 859
When inhibition not excitation synchronizes neural firing
Van Vreeswijk, C., Abbott, L. F., & Bard Ermentrout, G. (1994) · Journal of Computational Neuroscience · doi:10.1007/bf00961879 · Cited by 773
Self-citation
Metadata
- Authors
- Abbott, L. F., & van Vreeswijk, C.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1993-08-01
- Volume
- 48
- Issue
- 2
- Pages
- 1483-1490
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2020173888
- Cited by
- 493
- References
- 2
- FWCI
- 12.76
- Type
- journal article
- Language
- en
- Open access
- closed
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- Abbott, L. F., & van Vreeswijk, C. (1993). Asynchronous states in networks of pulse-coupled oscillators. Physical Review E. https://doi.org/10.1103/physreve.48.1483
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
