{"id":"https://openalex.org/W1967659321","doi":"https://doi.org/10.1137/140962188","title":"Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: An Example of Consumer Lock-In","display_name":"Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: An Example of Consumer Lock-In","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1967659321","doi":"https://doi.org/10.1137/140962188","mag":"1967659321"},"language":"en","primary_location":{"id":"doi:10.1137/140962188","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140962188","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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1403.5959","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046360782","display_name":"Daniele Avitabile","orcid":"https://orcid.org/0000-0003-3714-7973"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Daniele Avitabile","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, NG2 7RD, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, NG2 7RD, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048599143","display_name":"Rebecca B. Hoyle","orcid":"https://orcid.org/0000-0002-1645-1071"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rebecca Hoyle","raw_affiliation_strings":["Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, UK","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007947181","display_name":"Giovanni Samaey","orcid":"https://orcid.org/0000-0001-8433-4523"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Giovanni Samaey","raw_affiliation_strings":["Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, 3001 Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, 3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046360782"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":null,"apc_paid":null,"fwci":1.1737,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77568205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"4","first_page":"1583","last_page":"1619"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9998999834060669,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9998999834060669,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9970999956130981,"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/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.5631597638130188},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5537421703338623},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.5304823517799377},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5086587071418762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4867715835571289},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.46542948484420776},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4617609679698944},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4602777659893036},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.44518136978149414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4396926164627075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39765650033950806},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.21011316776275635},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19087201356887817},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09046709537506104},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08434915542602539}],"concepts":[{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.5631597638130188},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5537421703338623},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5304823517799377},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5086587071418762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4867715835571289},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.46542948484420776},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4617609679698944},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4602777659893036},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44518136978149414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4396926164627075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39765650033950806},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.21011316776275635},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19087201356887817},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09046709537506104},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08434915542602539},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1137/140962188","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140962188","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:eprints.soton.ac.uk:374372","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1403.5959","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1403.5959","pdf_url":"https://arxiv.org/pdf/1403.5959","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.758.9662","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.9662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1403.5959.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.nottingham.ac.uk:2615","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/2615/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":"Article"},{"id":"pmh:oai:eprints.nottingham.ac.uk:3246","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/3246/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":"Article"},{"id":"pmh:oai:eprints.nottingham.ac.uk:3330","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/3330/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":"Article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/492023","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/bitstream/123456789/492023/2/1403.5959.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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, vol. 13 (4), Art.No. 4, (1583-1619)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:nottingham-repository.worktribe.com:997924","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/997924","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1403.5959","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1403.5959","pdf_url":"https://arxiv.org/pdf/1403.5959","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2666660476","display_name":null,"funder_award_id":"EP/H021779/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":87,"referenced_works":["https://openalex.org/W1390923","https://openalex.org/W97788087","https://openalex.org/W1481946224","https://openalex.org/W1495886451","https://openalex.org/W1500338266","https://openalex.org/W1501219137","https://openalex.org/W1517482370","https://openalex.org/W1540380506","https://openalex.org/W1551907347","https://openalex.org/W1586418342","https://openalex.org/W1604168766","https://openalex.org/W1676917713","https://openalex.org/W1849361375","https://openalex.org/W1888172398","https://openalex.org/W1971842701","https://openalex.org/W1972178529","https://openalex.org/W1982839492","https://openalex.org/W1984686904","https://openalex.org/W1990157709","https://openalex.org/W1995630494","https://openalex.org/W1995663809","https://openalex.org/W2002785668","https://openalex.org/W2003383142","https://openalex.org/W2007899513","https://openalex.org/W2008205676","https://openalex.org/W2011126959","https://openalex.org/W2011978681","https://openalex.org/W2013053877","https://openalex.org/W2016454625","https://openalex.org/W2018129494","https://openalex.org/W2020644315","https://openalex.org/W2022064443","https://openalex.org/W2022143789","https://openalex.org/W2024986381","https://openalex.org/W2030940419","https://openalex.org/W2035809654","https://openalex.org/W2042225931","https://openalex.org/W2043255814","https://openalex.org/W2050274271","https://openalex.org/W2053050827","https://openalex.org/W2053172733","https://openalex.org/W2057989705","https://openalex.org/W2058105398","https://openalex.org/W2065154817","https://openalex.org/W2067274803","https://openalex.org/W2070460788","https://openalex.org/W2075372638","https://openalex.org/W2077737358","https://openalex.org/W2084581385","https://openalex.org/W2089584121","https://openalex.org/W2096467735","https://openalex.org/W2097209344","https://openalex.org/W2099681046","https://openalex.org/W2099793143","https://openalex.org/W2104747119","https://openalex.org/W2112090702","https://openalex.org/W2112848633","https://openalex.org/W2113096089","https://openalex.org/W2115047693","https://openalex.org/W2127859962","https://openalex.org/W2129261459","https://openalex.org/W2148717806","https://openalex.org/W2151084831","https://openalex.org/W2154522909","https://openalex.org/W2159918425","https://openalex.org/W2233421590","https://openalex.org/W2398122973","https://openalex.org/W2672887890","https://openalex.org/W2743351726","https://openalex.org/W2889011686","https://openalex.org/W2990101013","https://openalex.org/W3003303647","https://openalex.org/W3098175115","https://openalex.org/W3098820870","https://openalex.org/W3102103731","https://openalex.org/W3102562631","https://openalex.org/W3105267665","https://openalex.org/W3105521390","https://openalex.org/W3121316442","https://openalex.org/W3123273839","https://openalex.org/W4237809910","https://openalex.org/W4249130062","https://openalex.org/W4251188961","https://openalex.org/W4285719527","https://openalex.org/W4298008229","https://openalex.org/W4300115468","https://openalex.org/W4301753049"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W3136087161","https://openalex.org/W1486373823","https://openalex.org/W2119578520","https://openalex.org/W2053762185","https://openalex.org/W2913611334","https://openalex.org/W1984283682","https://openalex.org/W1965257389","https://openalex.org/W2018238589","https://openalex.org/W2145980196"],"abstract_inverted_index":{"We":[0,62,81,131],"investigate":[1],"coarse":[2,55,68,95,159],"equilibrium":[3],"states":[4],"of":[5,11,31,67,108,115,127,140],"a":[6,15,29,83,158],"fine-scale,":[7],"stochastic,":[8],"agent-based":[9],"model":[10,155],"consumer":[12],"lock-in":[13],"in":[14,112,153],"duopolistic":[16],"market.":[17],"In":[18],"the":[19,58,65,71,99,109,113,116,137,141,146],"model,":[20],"agents":[21,40,72],"decide":[22],"on":[23,28],"their":[24,32,36],"next":[25],"purchase":[26],"based":[27],"combination":[30],"personal":[33],"preference":[34],"and":[35,47,93,144],"neighbors'":[37],"opinions.":[38],"For":[39],"with":[41,78],"independent":[42],"identically":[43],"distributed":[44],"(i.i.d.)":[45],"parameters":[46],"all-to-all":[48],"coupling,":[49],"we":[50],"derive":[51],"an":[52],"analytic":[53],"approximate":[54],"evolution-map":[56],"for":[57],"expected":[59],"average":[60],"purchase.":[61],"then":[63],"study":[64],"emergence":[66],"fronts":[69,152],"when":[70,98,121],"are":[73],"split":[74],"into":[75],"two":[76],"factions":[77],"opposite":[79],"preferences.":[80],"develop":[82],"novel":[84],"Newton--Krylov":[85],"method":[86,143,147],"that":[87,118,135,150],"is":[88,103,111,119],"able":[89],"to":[90,148],"compute":[91],"accurately":[92],"efficiently":[94],"fixed":[96],"points":[97],"underlying":[100],"fine-scale":[101],"dynamics":[102],"stochastic.":[104],"The":[105],"main":[106],"novelty":[107],"algorithm":[110],"elimination":[114],"noise":[117],"generated":[120],"estimating":[122],"Jacobian-vector":[123],"products":[124],"using":[125],"time-integration":[126],"perturbed":[128],"initial":[129],"conditions.":[130],"present":[132],"numerical":[133,142],"results":[134],"demonstrate":[136],"convergence":[138],"properties":[139],"use":[145],"show":[149],"macroscopic":[151],"this":[154],"destabilize":[156],"at":[157],"symmetry-breaking":[160],"bifurcation.":[161]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}