--- abstract: "We study a modification of the Hoppensteadt-Izhikevich canonical model for networks of class I neurons, 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.\n" altloc: [] chapter: ~ commentary: ~ commref: ~ confdates: ~ conference: ~ confloc: ~ contact_email: ~ creators_id: [] creators_name: - family: Katriel given: Guy honourific: '' lineage: '' date: 2003-09 date_type: published datestamp: 2003-10-06 department: ~ dir: disk0/00/00/31/81 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: [] eprint_status: archive eprintid: 3181 fileinfo: /style/images/fileicons/application_pdf.png;/3181/1/ClassI3.pdf|/style/images/fileicons/application_postscript.png;/3181/2/ClassI3.ps full_text_status: public importid: ~ institution: ~ isbn: ~ ispublished: ~ issn: ~ item_issues_comment: [] item_issues_count: 0 item_issues_description: [] item_issues_id: [] item_issues_reported_by: [] item_issues_resolved_by: [] item_issues_status: [] item_issues_timestamp: [] item_issues_type: [] keywords: ~ lastmod: 2011-03-11 08:55:21 latitude: ~ longitude: ~ metadata_visibility: show note: An error in the asymptotic analysis in section 5 of the first version of the paper is corrected. number: ~ pagerange: ~ pubdom: FALSE publication: ~ publisher: ~ refereed: FALSE referencetext: |- G.B. Ermentrout, Type I membranes, phase resetting curves and synchrony, Neural Comput. 8 (1996), 979-1001. D. Hansel, G. Mato and C. Meunier, Synchrony in excitatory neural networks, Neural Comput. 7 (1995), 307-335. F.C. Hoppensteadt & E.M. Izhikevich, `Weakly Connected Neural Networks', Springer-Verlag (New-York), 1997. E.M. Izhikevich, Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models, IEEE Trans. Neural Networks 10 (1999), 499-507. G. Katriel, Stability of synchronized oscillations in networks of phase-oscillators, preprint, http://arxiv.org/abs/nlin.PS/0308031 . relation_type: [] relation_uri: [] reportno: ~ rev_number: 14 series: ~ source: ~ status_changed: 2007-09-12 16:48:54 subjects: - neuro-mod - comp-neuro-sci - comp-sci-neural-nets succeeds: 3157 suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: Synchronization in model networks of class I neurons type: preprint userid: 4299 volume: ~