{"id":"https://openalex.org/W1960551688","doi":"https://doi.org/10.1137/15m1046101","title":"A Three-Scale Model of Spatio-Temporal Bursting","display_name":"A Three-Scale Model of Spatio-Temporal Bursting","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1960551688","doi":"https://doi.org/10.1137/15m1046101","mag":"1960551688"},"language":"en","primary_location":{"id":"doi:10.1137/15m1046101","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046101","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.08938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049699562","display_name":"Alessio Franci","orcid":"https://orcid.org/0000-0002-3911-625X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alessio Franci","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rodolphe Sepulchre","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00375977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"4","first_page":"2143","last_page":"2175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9990000128746033,"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/bursting","display_name":"Bursting","score":0.9623627662658691},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.8014354705810547},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6182034611701965},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6134052872657776},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5335899591445923},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45300284028053284},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3952449560165405},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3498992621898651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3203319311141968},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0709218680858612}],"concepts":[{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.9623627662658691},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.8014354705810547},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6182034611701965},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6134052872657776},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5335899591445923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45300284028053284},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3952449560165405},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3498992621898651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3203319311141968},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0709218680858612},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1137/15m1046101","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046101","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:arXiv.org:1510.08938","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08938","pdf_url":"https://arxiv.org/pdf/1510.08938","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/284169","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/284169","pdf_url":"https://www.repository.cam.ac.uk/handle/1810/284169","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"mag:1960551688","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1510.08938.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:generic.eprints.org:876327","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/876327/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:orbi.ulg.ac.be:2268/303244","is_oa":false,"landing_page_url":"http://epubs.siam.org/doi/pdf/10.1137/15M1046101","pdf_url":null,"source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Dynamical Systems, 15 (4), 2143 - 2175 (2016)","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"doi:10.48550/arxiv.1510.08938","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.08938","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.17863/cam.17473","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.17473","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.08938","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08938","pdf_url":"https://arxiv.org/pdf/1510.08938","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6422620020","display_name":null,"funder_award_id":"IA105816","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"funders":[{"id":"https://openalex.org/F4320323401","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335100","display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W99189181","https://openalex.org/W316919195","https://openalex.org/W1599649638","https://openalex.org/W1880775923","https://openalex.org/W1917539272","https://openalex.org/W1923614344","https://openalex.org/W1965778005","https://openalex.org/W1967771793","https://openalex.org/W1995357988","https://openalex.org/W2006545703","https://openalex.org/W2009058070","https://openalex.org/W2009375605","https://openalex.org/W2016031811","https://openalex.org/W2037044617","https://openalex.org/W2040791996","https://openalex.org/W2041496883","https://openalex.org/W2053205765","https://openalex.org/W2065087707","https://openalex.org/W2070823330","https://openalex.org/W2072560765","https://openalex.org/W2073910627","https://openalex.org/W2088017330","https://openalex.org/W2102297429","https://openalex.org/W2115750337","https://openalex.org/W2115869817","https://openalex.org/W2139983563","https://openalex.org/W2160740310"],"related_works":["https://openalex.org/W2963776979","https://openalex.org/W2049342376","https://openalex.org/W2726670577","https://openalex.org/W1985906786","https://openalex.org/W2987470858","https://openalex.org/W21465668","https://openalex.org/W3190081496","https://openalex.org/W2043783124","https://openalex.org/W2118952571","https://openalex.org/W3028021273","https://openalex.org/W2952093565","https://openalex.org/W2004521384","https://openalex.org/W2606595741","https://openalex.org/W2187945644","https://openalex.org/W2061543862","https://openalex.org/W2033497098","https://openalex.org/W2085296811","https://openalex.org/W1967761557","https://openalex.org/W1996905661","https://openalex.org/W2021401372"],"abstract_inverted_index":{"We":[0],"study":[1],"spatio-temporal":[2,58],"bursting":[3,59],"in":[4,60,68],"a":[5,38,62],"three-scale":[6],"reaction":[7],"diffusion":[8],"equation":[9],"organized":[10],"by":[11,47],"the":[12,20,30,52,69,73],"winged":[13,53,74],"cusp":[14],"singularity.":[15],"For":[16],"large":[17,27],"time-scale":[18],"separation":[19,29],"model":[21,31,63],"exhibits":[22,32],"traveling":[23],"bursts,":[24],"whereas":[25],"for":[26],"space-scale":[28],"standing":[33],"bursts.":[34],"Both":[35],"behaviors":[36],"exhibit":[37],"common":[39],"singular":[40],"skeleton,":[41],"whose":[42],"geometry":[43],"is":[44],"fully":[45],"determined":[46],"persistent":[48],"bifurcation":[49],"diagrams":[50],"of":[51,57,72],"cusp.":[54,75],"The":[55],"modulation":[56],"such":[61],"naturally":[64],"translates":[65],"into":[66],"paths":[67],"universal":[70],"unfolding":[71]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
