{"id":"https://openalex.org/W4412804162","doi":"https://doi.org/10.1016/j.cnsns.2025.109172","title":"Spot solutions to a neural field equation on oblate spheroids","display_name":"Spot solutions to a neural field equation on oblate spheroids","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W4412804162","doi":"https://doi.org/10.1016/j.cnsns.2025.109172"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2025.109172","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2025.109172","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cnsns.2025.109172","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084542446","display_name":"Hiroshi Ishii","orcid":"https://orcid.org/0000-0002-6834-6644"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hiroshi Ishii","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6834-6644","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113257235","display_name":"R Watanabe","orcid":"https://orcid.org/0009-0007-0498-1191"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Riku Watanabe","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084542446"],"corresponding_institution_ids":[],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":{"value":3460,"currency":"USD","value_usd":3460},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17398748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"152","issue":null,"first_page":"109172","last_page":"109172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9790999889373779,"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":0.9790999889373779,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9437000155448914,"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"}},{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics","score":0.91839998960495,"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/spheroid","display_name":"Spheroid","score":0.8924572467803955},{"id":"https://openalex.org/keywords/oblate-spheroid","display_name":"Oblate spheroid","score":0.7992769479751587},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.541221559047699},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5139234066009521},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.42953968048095703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4010198712348938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3609400987625122},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11564207077026367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08779671788215637}],"concepts":[{"id":"https://openalex.org/C175369904","wikidata":"https://www.wikidata.org/wiki/Q208395","display_name":"Spheroid","level":3,"score":0.8924572467803955},{"id":"https://openalex.org/C30695634","wikidata":"https://www.wikidata.org/wiki/Q208395","display_name":"Oblate spheroid","level":2,"score":0.7992769479751587},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.541221559047699},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5139234066009521},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.42953968048095703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4010198712348938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3609400987625122},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11564207077026367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08779671788215637},{"id":"https://openalex.org/C202751555","wikidata":"https://www.wikidata.org/wiki/Q221681","display_name":"In vitro","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.cnsns.2025.109172","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2025.109172","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2504.16342","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.16342","pdf_url":"https://arxiv.org/pdf/2504.16342","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":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/j.cnsns.2025.109172","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2025.109172","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Climate action","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G493556619","display_name":null,"funder_award_id":"23K13013","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6017061577","display_name":null,"funder_award_id":"24H00188","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W167165788","https://openalex.org/W1496872380","https://openalex.org/W1971175243","https://openalex.org/W1983315303","https://openalex.org/W2010799206","https://openalex.org/W2016448450","https://openalex.org/W2029374903","https://openalex.org/W2033291325","https://openalex.org/W2070196537","https://openalex.org/W2108004215","https://openalex.org/W2118067965","https://openalex.org/W2126931471","https://openalex.org/W2138469799","https://openalex.org/W2472275634","https://openalex.org/W2594732619","https://openalex.org/W2614700606","https://openalex.org/W2897659848","https://openalex.org/W2963799240","https://openalex.org/W2996638748","https://openalex.org/W3094975703","https://openalex.org/W3170263251","https://openalex.org/W4213212409","https://openalex.org/W4221038245","https://openalex.org/W4280629634","https://openalex.org/W4307697508","https://openalex.org/W4378901443","https://openalex.org/W4407698272","https://openalex.org/W6682025012","https://openalex.org/W6784483368","https://openalex.org/W6810367250","https://openalex.org/W6820970414"],"related_works":["https://openalex.org/W2941898277","https://openalex.org/W4234341491","https://openalex.org/W846058616","https://openalex.org/W2363777555","https://openalex.org/W2515669240","https://openalex.org/W2323990296","https://openalex.org/W4251468722","https://openalex.org/W2095452328","https://openalex.org/W2106114620","https://openalex.org/W4388397462"],"abstract_inverted_index":{"Understanding":[0],"the":[1,23,31,43,49,52,56,68,97,101,124,134,138,147,156,193,199,209,216,220,232,247],"dynamics":[2,25,57,74,194,210,274],"of":[3,26,37,45,55,100,142,151,158,195,201,211,222,275],"excitation":[4,24],"patterns":[5,93,110],"in":[6,13,75,146],"neural":[7,38,77,223,233],"fields":[8],"is":[9,58,155,229,240],"an":[10,60],"important":[11],"topic":[12,62],"neuroscience.":[14],"Neural":[15],"field":[16,39,78,234],"equations":[17,40],"are":[18],"mathematical":[19],"models":[20],"that":[21,208],"describe":[22],"interacting":[27],"neurons":[28],"to":[29,136,191],"perform":[30],"theoretical":[32,153,203],"analysis.":[33],"Although":[34],"many":[35],"analyses":[36],"focus":[41],"on":[42,48,81,111,123,169,215,249],"effect":[44],"neuronal":[46],"interactions":[47],"flat":[50],"surface,":[51],"geometric":[53,98],"constraint":[54],"also":[59],"attractive":[61],"when":[63],"modeling":[64],"organs":[65],"such":[66],"as":[67,83,91,231],"brain.":[69],"This":[70],"paper":[71],"reports":[72],"pattern":[73],"a":[76,159,176,181,257,262],"equation":[79],"defined":[80],"spheroids":[82,112],"model":[84,228],"curved":[85,102,217],"surfaces.":[86],"We":[87,131],"treat":[88],"spot":[89,109,121,144,164,177,196,212,243,258,276],"solutions":[90,122,145,165,197,213,244],"localized":[92,166,245],"and":[94,127,140,219],"discuss":[95,192],"how":[96],"properties":[99],"surface":[103,126,218],"change":[104],"their":[105,129],"properties.":[106],"To":[107],"analyze":[108],"with":[113,198],"small":[114],"flattening,":[115],"we":[116,187],"first":[117],"construct":[118],"exact":[119],"stationary":[120,143,163],"spherical":[125],"reveal":[128],"stability.":[130],"then":[132],"extend":[133],"analysis":[135],"show":[137,207],"existence":[139],"stability":[141,160,238],"spheroidal":[148],"case.":[149],"One":[150],"our":[152,202],"results":[154,206],"derivation":[157],"criterion":[161,173,239,254],"for":[162,242],"at":[167,180,246,261],"poles":[168,248],"oblate":[170,250],"spheroids.":[171,251],"The":[172,226,253],"determines":[174,255],"whether":[175,256],"solution":[178,259],"remains":[179,260],"pole":[182,263],"or":[183,264],"moves":[184,265],"away.":[185],"Finally,":[186],"conduct":[188],"numerical":[189],"simulations":[190,271],"insight":[200],"predictions.":[204],"Our":[205],"depend":[214],"coordination":[221],"interactions.":[224],"\u2022":[225,236,252,269],"Amari":[227],"used":[230],"equation.":[235],"A":[237],"derived":[241],"away":[266],"from":[267],"it.":[268],"Numerical":[270],"confirm":[272],"curvature-dependent":[273],"solutions.":[277]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
