{"id":"https://openalex.org/W2014490356","doi":"https://doi.org/10.1063/1.464667","title":"Complete optimization of models of the Belousov\u2013Zhabotinsky reaction at a Hopf bifurcation","display_name":"Complete optimization of models of the Belousov\u2013Zhabotinsky reaction at a Hopf bifurcation","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2014490356","doi":"https://doi.org/10.1063/1.464667","mag":"2014490356"},"language":"en","primary_location":{"id":"doi:10.1063/1.464667","doi":"https://doi.org/10.1063/1.464667","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.464667","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5064531749","display_name":"F. Hynne","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"F. Hynne","raw_affiliation_strings":["Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109087990","display_name":"P. Graae So rensen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"P. Graae So/rensen","raw_affiliation_strings":["Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109125853","display_name":"T. Mo ller","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"T. Mo/ller","raw_affiliation_strings":["Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, H. C. O/rsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":1.7747,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.83471907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"98","issue":"1","first_page":"219","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9326000213623047,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9326000213623047,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.05559999868273735,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.0017999999690800905,"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/belousov-zhabotinsky-reaction","display_name":"Belousov-Zhabotinsky reaction","score":0.9539999961853027},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.9919999837875366},{"id":"https://openalex.org/keywords/oregonator","display_name":"Oregonator","score":0.7829999923706055},{"id":"https://openalex.org/keywords/rate-constant-estimation","display_name":"rate constant estimation","score":0.7670000195503235},{"id":"https://openalex.org/keywords/quenching-experiments","display_name":"quenching experiments","score":0.7110000252723694},{"id":"https://openalex.org/keywords/supercritical-hopf-bifurcation","display_name":"supercritical Hopf bifurcation","score":0.9169999957084656},{"id":"https://openalex.org/keywords/reaction-kinetics","display_name":"reaction kinetics","score":0.4230000078678131},{"id":"https://openalex.org/keywords/eigenvector-analysis","display_name":"eigenvector method","score":0.640999972820282}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6708136200904846},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5069387555122375},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.48347073793411255},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4664921760559082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4644724428653717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43395546078681946},{"id":"https://openalex.org/C93391505","wikidata":"https://www.wikidata.org/wiki/Q658700","display_name":"Reaction rate constant","level":3,"score":0.4200170636177063},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.404376745223999},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33063942193984985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24793943762779236},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1683366596698761},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1433403193950653},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.12007468938827515},{"id":"https://openalex.org/C148898269","wikidata":"https://www.wikidata.org/wiki/Q1108792","display_name":"Kinetics","level":2,"score":0.06974542140960693},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1063/1.464667","doi":"https://doi.org/10.1063/1.464667","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.464667","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/6001fe70-74ce-11db-bee9-02004c4f4f50","doi":null,"is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/6001fe70-74ce-11db-bee9-02004c4f4f50","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hynne, F, S\u00f8rensen, P G & M\u00f8ller, T 1993, 'Complete Optimization of Models of the Belousov-Zhabotinsky Reaction at a Hopf Bifurcation', Journal of Chemical Physics, no. Vol. 98, pp. 219-30.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1963507255","https://openalex.org/W1965686476","https://openalex.org/W2001545854","https://openalex.org/W2021329716","https://openalex.org/W2031447622","https://openalex.org/W2051941218","https://openalex.org/W2058942979","https://openalex.org/W2060272600","https://openalex.org/W2065599603","https://openalex.org/W2067917338","https://openalex.org/W2068855277","https://openalex.org/W2079464831","https://openalex.org/W2089222601","https://openalex.org/W2092589298","https://openalex.org/W2463707063"],"related_works":["https://openalex.org/W2067917338","https://openalex.org/W2079464831","https://openalex.org/W2057467365","https://openalex.org/W2091442046","https://openalex.org/W1988872311","https://openalex.org/W3187512242","https://openalex.org/W1972459202","https://openalex.org/W2070993522","https://openalex.org/W143448244","https://openalex.org/W2207756880"],"abstract_inverted_index":{"We":[0],"analyze":[1],"two":[2],"reaction":[3,8],"networks":[4],"for":[5,169,209],"the":[6,25,27,42,50,55,63,66,101,108,110,128,133,136,142,145,150,175,192,196,212,217],"Belousov\u2013Zhabotinsky":[7],"at":[9,85],"a":[10,17,46,86,97,118,170,180,198],"Hopf":[11,88],"bifurcation":[12],"by":[13],"methods":[14,57],"developed":[15],"in":[16,117],"previous":[18,185],"paper.":[19],"One":[20],"network":[21,74],"is":[22,29,94,112,138,166,207],"equivalent":[23],"to":[24,53,62],"oregonator,":[26,109],"other":[28,82],"an":[30],"extended":[31],"oregonator":[32],"with":[33,77,135,149,195],"seven":[34],"species":[35],"and":[36,49,58,81,104,115,141],"eleven":[37],"reactions.":[38,67],"For":[39,107],"each":[40,73],"model":[41,165],"current":[43,102],"polytope":[44],"has":[45],"simple":[47],"geometry":[48],"paper":[51],"serves":[52],"illustrate":[54],"analytic":[56],"explain":[59],"their":[60],"relation":[61],"chemistry":[64],"of":[65,100,122,127,132,144,211],"All":[68],"possible":[69,92],"models":[70],"based":[71,187],"on":[72,158,188],"are":[75,220,224],"compared":[76],"experimental":[78,83],"quenching":[79],"results":[80,116,186],"data":[84],"supercritical":[87],"bifurcation.":[89],"The":[90,130,163],"best":[91,176],"fit":[93],"obtained":[95],"through":[96],"systematic":[98],"search":[99],"cone":[103],"concentration":[105],"space.":[106],"optimization":[111],"essentially":[113],"complete":[114,172],"determination":[119],"from":[120,155],"scratch":[121],"all":[123],"six":[124],"rate":[125,147,218],"constants":[126,148,219],"model.":[129],"agreement":[131,143,194,206],"optimum":[134],"experiments":[137],"very":[139],"good,":[140],"deduced":[146],"most":[151],"recent":[152],"set":[153],"determined":[154],"kinetic":[156],"measurements":[157],"subsystems":[159],"seems":[160],"quite":[161],"remarkable.":[162],"larger":[164],"too":[167],"big":[168],"really":[171],"search,":[173],"but":[174],"point":[177],"found":[178],"shows":[179,203],"significant":[181],"improvement":[182],"over":[183],"our":[184],"continuation":[189],"methods.":[190],"Despite":[191],"good":[193],"experiments,":[197],"graphical":[199],"eigenvector":[200],"analysis":[201],"definitively":[202],"that":[204],"perfect":[205],"impossible":[208],"any":[210],"models,":[213],"no":[214],"matter":[215],"how":[216],"chosen;":[221],"additional":[222],"reactions":[223],"needed.":[225]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
