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--- 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: Dr lineage: '' date: 2003-09 date_type: published datestamp: 2003-09-19 department: ~ dir: disk0/00/00/31/57 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: [] eprint_status: archive eprintid: 3157 fileinfo: /style/images/fileicons/application_pdf.png;/3157/1/ClassI.pdf|/style/images/fileicons/application_postscript.png;/3157/2/ClassI.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 08:55:20 latitude: ~ longitude: ~ metadata_visibility: show note: ~ 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 16:48:41 subjects: - neuro-mod - comp-neuro-sci - comp-sci-neural-nets succeeds: ~ suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: Synchronization in model networks of class I neurons type: preprint userid: 4299 volume: ~