| Title |
Stability of the splay state in networks of pulse-coupled neurons
|
|---|---|
| Published in |
The Journal of Mathematical Neuroscience, November 2012
|
| DOI | 10.1186/2190-8567-2-12 |
| Pubmed ID | |
| Authors |
Simona Olmi, Antonio Politi, Alessandro Torcini |
| Abstract |
We analytically investigate the stability of splay states in the networks of N globally pulse-coupled phase-like models of neurons. We develop a perturbative technique which allows determining the Floquet exponents for a generic velocity field and implement the method for a given pulse shape. We find that in the case of discontinuous velocity fields, the Floquet spectrum scales as 1/N2 and the stability is determined by the sign of the jump at the discontinuity. Altogether, the form of the spectrum depends on the pulse shape, but it is independent of the velocity field.PACS: 05.45.Xt, 84.35.+i, 87.19.lj. |
Mendeley readers
The data shown below were compiled from readership statistics for 16 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 6% |
| Germany | 1 | 6% |
| Unknown | 14 | 88% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 5 | 31% |
| Student > Bachelor | 3 | 19% |
| Researcher | 3 | 19% |
| Professor | 1 | 6% |
| Other | 1 | 6% |
| Other | 2 | 13% |
| Unknown | 1 | 6% |
| Readers by discipline | Count | As % |
|---|---|---|
| Physics and Astronomy | 7 | 44% |
| Mathematics | 4 | 25% |
| Neuroscience | 2 | 13% |
| Medicine and Dentistry | 1 | 6% |
| Agricultural and Biological Sciences | 1 | 6% |
| Other | 0 | 0% |
| Unknown | 1 | 6% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 22 November 2012.
All research outputs
#20,174,175
of 22,687,320 outputs
Outputs from The Journal of Mathematical Neuroscience
#70
of 80 outputs
Outputs of similar age
#244,642
of 275,925 outputs
Outputs of similar age from The Journal of Mathematical Neuroscience
#6
of 6 outputs
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So far Altmetric has tracked 80 research outputs from this source. They receive a mean Attention Score of 2.6. This one is in the 1st percentile – i.e., 1% of its peers scored the same or lower than it.
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