{"id":"https://openalex.org/W2059420571","doi":"https://doi.org/10.1137/060654347","title":"Existence and Wandering of Bumps in a Spiking Neural Network Model","display_name":"Existence and Wandering of Bumps in a Spiking Neural Network Model","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2059420571","doi":"https://doi.org/10.1137/060654347","mag":"2059420571"},"language":"en","primary_location":{"id":"doi:10.1137/060654347","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060654347","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.nottingham.ac.uk/407/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034374861","display_name":"Carson C. Chow","orcid":"https://orcid.org/0000-0003-1463-9553"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carson C. Chow","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015605154","display_name":"Stephen Coombes","orcid":"https://orcid.org/0000-0003-1610-7665"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Coombes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8516,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.70967347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"5","issue":"4","first_page":"552","last_page":"574"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5622962117195129},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5157371163368225},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.4646536707878113},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4337514340877533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4044918417930603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30699676275253296},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10286355018615723}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5622962117195129},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5157371163368225},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.4646536707878113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4337514340877533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4044918417930603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30699676275253296},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10286355018615723},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/060654347","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060654347","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.4954","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.4954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.nottingham.ac.uk/407/1/LHsiads13.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.81.8042","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.81.8042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.pitt.edu/~ccc/htdocs/archive/chowcoombes.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.nottingham.ac.uk:407","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/407/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:nottingham-repository.worktribe.com:1018377","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/1018377","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:eprints.nottingham.ac.uk:407","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/407/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.46000000834465027,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1482438820","https://openalex.org/W1487210357","https://openalex.org/W1582051163","https://openalex.org/W1970323478","https://openalex.org/W1974584941","https://openalex.org/W1987994242","https://openalex.org/W1989512479","https://openalex.org/W1992476998","https://openalex.org/W1999417135","https://openalex.org/W2011459128","https://openalex.org/W2016354087","https://openalex.org/W2016448450","https://openalex.org/W2019689276","https://openalex.org/W2022876055","https://openalex.org/W2029374903","https://openalex.org/W2031534534","https://openalex.org/W2044121793","https://openalex.org/W2054371931","https://openalex.org/W2055672725","https://openalex.org/W2063582946","https://openalex.org/W2072372521","https://openalex.org/W2075510082","https://openalex.org/W2080808870","https://openalex.org/W2092356747","https://openalex.org/W2102917484","https://openalex.org/W2102952547","https://openalex.org/W2127920751","https://openalex.org/W2155815687","https://openalex.org/W2156146528","https://openalex.org/W2160229024","https://openalex.org/W2163958462","https://openalex.org/W2165443127","https://openalex.org/W2614700606","https://openalex.org/W3100889734"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W4390692226","https://openalex.org/W2044512040"],"abstract_inverted_index":{"We":[0,21,88,100],"study":[1],"spatially":[2],"localized":[3,61],"states":[4,106],"of":[5,27,40,60,70,85,93,120,149],"a":[6,12,68,83,97,111,125,140],"spiking":[7],"neuronal":[8],"network":[9],"populated":[10],"by":[11],"pulse\u2010coupled":[13],"phase":[14],"oscillator":[15],"known":[16],"as":[17,82],"the":[18,25,32,35,41,55,94,118,132,147,155],"lighthouse":[19],"model.":[20,44],"show":[22,101,130],"that":[23,102,131,143],"in":[24,31],"limit":[26,34],"slow":[28],"synaptic":[29,47,121,150],"interactions":[30],"continuum":[33],"dynamics":[36],"reduce":[37],"to":[38,52,65,117],"those":[39],"standard":[42,56],"Amari":[43],"For":[45],"nonslow":[46],"connections":[48],"we":[49,129],"are":[50],"able":[51],"go":[53],"beyond":[54,124],"firing":[57,80],"rate":[58,148],"analysis":[59,92],"solutions,":[62],"allowing":[63],"us":[64],"explicitly":[66],"construct":[67],"family":[69],"coexisting":[71],"one\u2010bump":[72],"solutions":[73],"and":[74,79,109,152],"then":[75],"track":[76],"bump":[77,105,114,133],"width":[78,104],"pattern":[81],"function":[84],"system":[86],"parameters.":[87],"also":[89],"present":[90],"an":[91,135],"model":[95],"on":[96],"discrete":[98],"lattice.":[99],"multiple":[103],"can":[107],"coexist,":[108],"uncover":[110],"mechanism":[112],"for":[113],"wandering":[115,126],"linked":[116],"speed":[119],"processing.":[122],"Moreover,":[123],"transition":[127],"point":[128],"undergoes":[134],"effective":[136],"random":[137],"walk":[138],"with":[139,146,154],"diffusion":[141],"coefficient":[142],"scales":[144],"exponentially":[145],"processing":[151],"linearly":[153],"lattice":[156],"spacing.":[157]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}