Abstract
We consider a cascading model of excitable neural dynamics and show that over a wide variety of parameter regimes, these systems admit unique attractors. For large coupling strengths, this attractor is a limit cycle, and for small coupling strengths, it is a fixed point. We also show that the cascading model considered here is a mean-field limit of an existing stochastic model.
Original language | English (US) |
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Pages (from-to) | 1060-1081 |
Number of pages | 22 |
Journal | SIAM Journal on Applied Dynamical Systems |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - 2014 |
Keywords
- Contraction mapping
- Critical parameters
- Mean-field limit
- Stochastic neuronal network
ASJC Scopus subject areas
- Analysis
- Modeling and Simulation