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Phase synchronization of coupled bursting neurons and the generalized Kuramoto model
- Publication Year :
- 2015
- Publisher :
- arXiv, 2015.
-
Abstract
- Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal models of bursting neurons must include both effects. We considered one of these models and its relation with a generalized Kuramoto model, thanks to the definition of a geometrical phase for bursting and a corresponding frequency. We considered neuronal networks with different connection topologies and investigated the transition from a non-synchronized to a partially phase-synchronized state as the coupling strength is varied. The numerically determined critical coupling strength value for this transition to occur is compared with theoretical results valid for the generalized Kuramoto model.<br />Comment: 31 pages, 5 figures
- Subjects :
- Neurons
Quantitative Biology::Neurons and Cognition
Cognitive Neuroscience
Kuramoto model
Models, Neurological
Phase (waves)
Theta model
Action Potentials
FOS: Physical sciences
Minimal models
Nonlinear Sciences - Chaotic Dynamics
Phase synchronization
Action (physics)
Synchronization (alternating current)
Bursting
Artificial Intelligence
Control theory
Quantitative Biology - Neurons and Cognition
FOS: Biological sciences
Neurons and Cognition (q-bio.NC)
Statistical physics
Chaotic Dynamics (nlin.CD)
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1fae1786cf44929b0feb9ccdb1312d4c
- Full Text :
- https://doi.org/10.48550/arxiv.1502.04067