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.
Keywords
Asynchronous communicationPulse (music)Statistical physicsNonlinear systemCoupling (piping)Stability (learning theory)Noise (video)PopulationWork (physics)State (computer science)Coupling constantComputer sciencePhysicsControl theory (sociology)Quantum mechanicsTelecommunicationsAlgorithmArtificial intelligenceMaterials science
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Publication Info
- Year
- 1993
- Type
- article
- Volume
- 48
- Issue
- 2
- Pages
- 1483-1490
- Citations
- 498
- Access
- Closed
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Cite This
L. F. Abbott,
Carl van Vreeswijk
(1993).
Asynchronous states in networks of pulse-coupled oscillators.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
, 48
(2)
, 1483-1490.
https://doi.org/10.1103/physreve.48.1483
Identifiers
- DOI
- 10.1103/physreve.48.1483