Quasi-discreted dynamics of a neural net: The lighthouse model
This paper studies the features of a net of pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modelled by δ-functions. In the case of small damping of dendritic currents, the model can be treated exactly and explicitly. Because of the δ-funct...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022600000182 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper studies the features of a net of pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modelled by δ-functions. In the case of small damping of dendritic currents, the model can be treated exactly and explicitly. Because of the δ-functions, the phase-equations can be converted into algebraic equations at discrete times. We first exemplify our procedure by two neurons, and then present the results for N neurons. We admit a general dependence of input and coupling strengths on the
neuronal indices. In detail, the results are |
|---|---|
| ISSN: | 1026-0226 1607-887X |