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Synchronization in model networks of class I neurons | Guy Katriel
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15 Sep 2003 | Subject: | Adaptation and Self-Organizing Systems; Pattern Formation and Solitons; Disordered Systems and Neural Networks; Neurons and Cognition | nlin.AO cond-mat.dis-nn nlin.PS q-bio.NC | Abstract: | 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. | Source: | arXiv, nlin.AO/0309041 | Services: | Forum | Review | PDF | Favorites |
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