{"id":"https://openalex.org/W2139027229","doi":"https://doi.org/10.1155/2009/292183","title":"Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh\u2010Nagumo Kinetics","display_name":"Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh\u2010Nagumo Kinetics","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2139027229","doi":"https://doi.org/10.1155/2009/292183","mag":"2139027229"},"language":"en","primary_location":{"id":"doi:10.1155/2009/292183","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/292183","pdf_url":"https://downloads.hindawi.com/journals/jam/2009/292183.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2009/292183.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006417559","display_name":"Robert Artebrant","orcid":null},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Robert Artebrant","raw_affiliation_strings":["Department of Scientific Computing, Simula Research Laboratory, P.O. Box 134, 1325 Lysaker, Norway","Simula Research Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing, Simula Research Laboratory, P.O. Box 134, 1325 Lysaker, Norway","institution_ids":["https://openalex.org/I2799829267"]},{"raw_affiliation_string":"Simula Research Laboratory","institution_ids":["https://openalex.org/I2799829267"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006417559"],"corresponding_institution_ids":["https://openalex.org/I2799829267"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.7255,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75557555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991000294685364,"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":0.9991000294685364,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.996999979019165,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.8253324031829834},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6263420581817627},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6116418242454529},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5850527286529541},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5465530753135681},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5212603211402893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48302873969078064},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.460978627204895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42810124158859253},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.42491552233695984},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36829185485839844},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3463759124279022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3251642882823944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3057861924171448},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1266915202140808},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1182447075843811},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09499362111091614}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.8253324031829834},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6263420581817627},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6116418242454529},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5850527286529541},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5465530753135681},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5212603211402893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48302873969078064},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.460978627204895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42810124158859253},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.42491552233695984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36829185485839844},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3463759124279022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3251642882823944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3057861924171448},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1266915202140808},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1182447075843811},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09499362111091614},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2009/292183","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/292183","pdf_url":"https://downloads.hindawi.com/journals/jam/2009/292183.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1267538755","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1267538755","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:292183","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2009/292183.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"pmh:oai:doaj.org/article:2f94fe5d2bce4180b8d37939e967b4cc","is_oa":true,"landing_page_url":"https://doaj.org/article/2f94fe5d2bce4180b8d37939e967b4cc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2009 (2009)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2009/292183","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/292183","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2009/292183","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/292183","pdf_url":"https://downloads.hindawi.com/journals/jam/2009/292183.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139027229.pdf","grobid_xml":"https://content.openalex.org/works/W2139027229.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W609496224","https://openalex.org/W1490327388","https://openalex.org/W1970162728","https://openalex.org/W1971867698","https://openalex.org/W2003251032","https://openalex.org/W2009375605","https://openalex.org/W2013137073","https://openalex.org/W2019030439","https://openalex.org/W2023937057","https://openalex.org/W2045963400","https://openalex.org/W2051643025","https://openalex.org/W2063930755","https://openalex.org/W2065513785","https://openalex.org/W2106789960","https://openalex.org/W2120517097","https://openalex.org/W2122576752","https://openalex.org/W2335711175","https://openalex.org/W2612743911","https://openalex.org/W2884351061","https://openalex.org/W4252101143","https://openalex.org/W4301756616"],"related_works":["https://openalex.org/W2137413016","https://openalex.org/W2094046875","https://openalex.org/W4239296708","https://openalex.org/W2069713792","https://openalex.org/W110415256","https://openalex.org/W370258010","https://openalex.org/W2084334224","https://openalex.org/W2334634358","https://openalex.org/W4388906764","https://openalex.org/W2953100338"],"abstract_inverted_index":{"We":[0],"study":[1],"Hopf":[2,82],"bifurcation":[3,83],"solutions":[4],"to":[5,73,90],"the":[6,22,32,36,42,62,75,81],"Monodomain":[7],"model":[8,30,64],"equipped":[9],"with":[10],"FitzHugh\u2010Nagumo":[11],"cell":[12,63],"dynamics.":[13],"This":[14],"reaction\u2010diffusion":[15],"system":[16],"plays":[17],"an":[18],"important":[19],"role":[20],"in":[21,35],"field":[23],"of":[24,31,47,52,58],"electrocardiology":[25],"as":[26],"a":[27,50,66],"tractable":[28],"mathematical":[29],"electrical":[33],"activity":[34],"human":[37],"heart.":[38],"In":[39],"our":[40,92],"setting":[41],"(bounded)":[43],"spatial":[44],"domain":[45],"consists":[46],"two":[48],"subdomains:":[49],"collection":[51],"automatic":[53],"cells":[54],"surrounded":[55],"by":[56],"collections":[57],"normal":[59],"cells.":[60],"Thus,":[61],"features":[65],"discontinuous":[67],"coefficient.":[68],"Analytical":[69],"techniques":[70],"are":[71,88],"applied":[72],"approximate":[74],"time\u2010periodic":[76],"solution":[77],"that":[78],"arises":[79],"at":[80],"point.":[84],"Accurate":[85],"numerical":[86],"experiments":[87],"employed":[89],"complement":[91],"findings.":[93]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
