Name
Abstract | ||
|---|---|---|
We study a partial integro-differential equation defined on a spatially extended domain that arises from the modeling of working or short-term memory in a neuronal network. The equation is capable of supporting spatially localized regions of high activity which can be switched "on" and "off" by transient external stimuli. We analyze the effects of coupling between units in the network, showing that if the connection strengths decay monotonically with distance, then no more than one region of high activity can persist, whereas if they decay in an oscillatory fashion, then multiple regions can persist. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S0036139901389495 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
short-term memory,integro-differential equation,coupling,homoclinic orbits | Journal | 63 |
Issue | ISSN | Citations |
1 | 0036-1399 | 18 |
PageRank | References | Authors |
2.27 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boris S. Gutkin | 1 | 165 | 27.68 |
| Carlo R. Laing | 2 | 295 | 41.21 |
| Bard Ermentrout | 3 | 1098 | 161.49 |
| William C. Troy | 4 | 76 | 11.15 |