Synchronization in model networks of class I neurons
| dc.creator | Katriel, Guy | |
| dc.date | 2003-09-15 | |
| dc.date | 2003-09-28 | |
| dc.date.accessioned | 2026-07-07T05:34:57Z | |
| dc.date.available | 2026-07-07T05:34:57Z | |
| dc.description | We study a modification of the canonical model for networks of class I neurons, presented by Hoppensteadt and Izhikevich, in which the 'pulse' emitted by a neuron is smooth rather than a delta-function. We prove two types of results about synchronization and desynchronization of such networks, the first type pertaining to 'pulse' functions which are symmetric, and the other type in the regime in which each neuron is connected to many other neurons. | |
| dc.description | 14 pages. An error has been found in the asymptotic analysis in section 5 of the first version, due to which some of the claims made in this section were untrue. In this version the correct results on synchronization/desynchronization in the 'many connections' regime are given | |
| dc.identifier | https://arxiv.org/abs/nlin/0309041 | |
| dc.identifier | http://arxiv.org/abs/nlin/0309041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80561 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Pattern Formation and Solitons | |
| dc.subject | Neurons and Cognition | |
| dc.title | Synchronization in model networks of class I neurons | |
| dc.type | text |