{"id":"https://openalex.org/W2042193390","doi":"https://doi.org/10.1137/13091261x","title":"Robust Pulse Generators in an Excitable Medium with Jump-Type Heterogeneity","display_name":"Robust Pulse Generators in an Excitable Medium with Jump-Type Heterogeneity","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2042193390","doi":"https://doi.org/10.1137/13091261x","mag":"2042193390"},"language":"en","primary_location":{"id":"doi:10.1137/13091261x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13091261x","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041320492","display_name":"Masaaki Yadome","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Masaaki Yadome","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049555613","display_name":"Yasumasa Nishiura","orcid":"https://orcid.org/0000-0003-2269-7438"},"institutions":[{"id":"https://openalex.org/I4387152242","display_name":"Institute for Materials Research, Tohoku University","ror":"https://ror.org/04664mr26","country_code":null,"type":"facility","lineage":["https://openalex.org/I201537933","https://openalex.org/I4387152242"]}],"countries":[],"is_corresponding":false,"raw_author_name":"Yasumasa Nishiura","raw_affiliation_strings":["Advanced Institute for Materials Research (AIMR)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Institute for Materials Research (AIMR)","institution_ids":["https://openalex.org/I4387152242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046481016","display_name":"Takashi Teramoto","orcid":"https://orcid.org/0000-0002-7358-8250"},"institutions":[{"id":"https://openalex.org/I147809708","display_name":"Asahikawa Medical University","ror":"https://ror.org/025h9kw94","country_code":"JP","type":"education","lineage":["https://openalex.org/I147809708"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Teramoto","raw_affiliation_strings":["Asahikawa Medical Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Asahikawa Medical Univ","institution_ids":["https://openalex.org/I147809708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3599,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.6698523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"1168","last_page":"1201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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":0.9998000264167786,"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/T12236","display_name":"Photoreceptor and optogenetics research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular 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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9976999759674072,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.810131311416626},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.6760413646697998},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6301409602165222},{"id":"https://openalex.org/keywords/excitable-medium","display_name":"Excitable medium","score":0.629567563533783},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5943013429641724},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5660452246665955},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5438660979270935},{"id":"https://openalex.org/keywords/pattern-formation","display_name":"Pattern formation","score":0.4611165523529053},{"id":"https://openalex.org/keywords/central-pattern-generator","display_name":"Central pattern generator","score":0.4486904740333557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4195253252983093},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4187767803668976},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41207170486450195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3870285749435425},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3807108402252197},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3572254180908203},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.35662609338760376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34944474697113037},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.316595196723938},{"id":"https://openalex.org/keywords/rhythm","display_name":"Rhythm","score":0.20719608664512634},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.17317453026771545},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15898260474205017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14378681778907776},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12646272778511047},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11509779095649719},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11447584629058838},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.09291645884513855},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08732172846794128}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.810131311416626},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.6760413646697998},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6301409602165222},{"id":"https://openalex.org/C38925971","wikidata":"https://www.wikidata.org/wiki/Q5419628","display_name":"Excitable medium","level":2,"score":0.629567563533783},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5943013429641724},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5660452246665955},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5438660979270935},{"id":"https://openalex.org/C207016750","wikidata":"https://www.wikidata.org/wiki/Q1955627","display_name":"Pattern formation","level":2,"score":0.4611165523529053},{"id":"https://openalex.org/C169453685","wikidata":"https://www.wikidata.org/wiki/Q1054066","display_name":"Central pattern generator","level":3,"score":0.4486904740333557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4195253252983093},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4187767803668976},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41207170486450195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3870285749435425},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3807108402252197},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3572254180908203},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.35662609338760376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34944474697113037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.316595196723938},{"id":"https://openalex.org/C135343436","wikidata":"https://www.wikidata.org/wiki/Q170406","display_name":"Rhythm","level":2,"score":0.20719608664512634},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.17317453026771545},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15898260474205017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14378681778907776},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12646272778511047},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11509779095649719},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11447584629058838},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.09291645884513855},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08732172846794128},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/13091261x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13091261x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1967308282","https://openalex.org/W1973994723","https://openalex.org/W1975380397","https://openalex.org/W1975932407","https://openalex.org/W1982751457","https://openalex.org/W1982811884","https://openalex.org/W1985314283","https://openalex.org/W1986864730","https://openalex.org/W1989815255","https://openalex.org/W1991633669","https://openalex.org/W2002419297","https://openalex.org/W2003754616","https://openalex.org/W2006865148","https://openalex.org/W2008053143","https://openalex.org/W2009644314","https://openalex.org/W2016350172","https://openalex.org/W2016633545","https://openalex.org/W2026211608","https://openalex.org/W2032253048","https://openalex.org/W2037923566","https://openalex.org/W2046906080","https://openalex.org/W2048678256","https://openalex.org/W2052799855","https://openalex.org/W2054371931","https://openalex.org/W2055705183","https://openalex.org/W2055826414","https://openalex.org/W2057351240","https://openalex.org/W2062548993","https://openalex.org/W2072760327","https://openalex.org/W2079878055","https://openalex.org/W2083712967","https://openalex.org/W2084197979","https://openalex.org/W2084736067","https://openalex.org/W2102952547","https://openalex.org/W2115869817","https://openalex.org/W2121317038","https://openalex.org/W2121319723","https://openalex.org/W2132847744","https://openalex.org/W2134358521","https://openalex.org/W2135690127","https://openalex.org/W2163269573","https://openalex.org/W2164761951","https://openalex.org/W2329108706","https://openalex.org/W2604354257","https://openalex.org/W4211181836","https://openalex.org/W4230906466","https://openalex.org/W4232856726"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W2010606039","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W2045215015","https://openalex.org/W2356323067","https://openalex.org/W2363270381"],"abstract_inverted_index":{"Heterogeneity":[0],"is":[1],"one":[2],"of":[3,10,40,55,66,74,86,106,131],"the":[4,37,50,53,62,70,83,94,124],"most":[5],"important":[6],"and":[7,58,91,127,147],"ubiquitous":[8],"types":[9],"external":[11],"perturbations.":[12],"We":[13,47,77],"study":[14],"a":[15,27,103,111,121,129,134,151],"spontaneous":[16],"pulse-generating":[17,75],"mechanism":[18],"in":[19,43,119,138],"an":[20],"excitable":[21],"medium":[22],"with":[23,110,144],"jump-type":[24],"heterogeneity.":[25],"Such":[26],"pulse":[28,41,145],"generator":[29],"(PG)":[30],"has":[31],"attracted":[32],"considerable":[33],"interest":[34],"due":[35],"to":[36,81,102],"computational":[38],"potential":[39],"waves":[42],"physiological":[44],"signal":[45],"processing.":[46],"first":[48],"investigate":[49],"conditions":[51],"for":[52,123],"onset":[54],"robust-type":[56],"PGs,":[57],"then":[59],"we":[60,92],"show":[61],"global":[63],"bifurcation":[64],"structure":[65],"heterogeneity-induced":[67,107],"patterns,":[68],"including":[69],"complex":[71],"ordered":[72,108],"sequence":[73],"manners.":[76],"devise":[78],"numerical":[79,115],"frameworks":[80],"trace":[82],"long-term":[84],"behavior":[85],"PGs":[87,132],"as":[88,133],"periodic":[89],"solutions,":[90],"detect":[93],"associated":[95,143],"terminal":[96],"homoclinic":[97,101,141],"orbits":[98],"that":[99],"are":[100],"special":[104],"type":[105],"pattern":[109],"hyperbolic":[112],"saddle.":[113],"These":[114],"approaches":[116],"assist":[117],"us":[118],"identifying":[120],"candidate":[122],"organizing":[125],"center,":[126],"producing":[128],"variety":[130],"codimension-two":[135],"gluing":[136],"bifurcation,":[137],"which":[139],"two":[140],"trajectories":[142],"emission":[146],"breathing":[148],"motions":[149],"form":[150],"butterfly":[152],"configuration.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}