{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/spike-synchronization-dynamics-of-small-world","title":"Spike Synchronization Dynamics of Small-World Networks","arxiv_id":"1309.5660","date":"2013-09-22","proceeding":null,"authors":["Derek Harter"],"abstract":"In this research report, we examine the effects of small-world network\norganization on spike synchronization dynamics in networks of Izhikevich\nspiking units. We interpolate network organizations from regular ring lattices,\nthrough the small-world region, to random networks, and measure global spike\nsynchronization dynamics. We examine how average path length and clustering\neffect the dynamics of global and neighborhood clique spike organization and\npropagation. We show that the emergence of global synchronization undergoes a\nphase transition in the small-world region, between the clustering and path\nlength phase transitions that are known to exist. We add additional realistic\nconstraints on the dynamics by introducing propagation delays of spiking\nsignals proportional to wiring length. The addition of delays interferes with\nthe ability of random networks to sustain global synchronization, in relation\nto the breakdown of clustering in the networks. The addition of delays further\nenhances the finding that small-world organization is beneficial for balancing\nneighborhood synchronized waves of organization with global synchronization\ndynamics.","url_abs":"http://arxiv.org/abs/1309.5660v1","url_pdf":"http://arxiv.org/pdf/1309.5660v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"spike-synchronization-dynamics-of-small-world","repo_url":"https://bitbucket.org/dharter/sync-dyn-small-world-net","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[{"task_slug":"clustering","task_name":"Clustering"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}