{"id":"https://openalex.org/W2152830022","doi":"https://doi.org/10.1142/s0218127406014848","title":"DETAILED STUDY OF LIMIT CYCLES AND GLOBAL BIFURCATIONS IN A CIRCADIAN RHYTHM MODEL","display_name":"DETAILED STUDY OF LIMIT CYCLES AND GLOBAL BIFURCATIONS IN A CIRCADIAN RHYTHM MODEL","publication_year":2006,"publication_date":"2006-02-01","ids":{"openalex":"https://openalex.org/W2152830022","doi":"https://doi.org/10.1142/s0218127406014848","mag":"2152830022"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014848","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5010547372","display_name":"Peter \u0160imon","orcid":"https://orcid.org/0000-0002-2828-4151"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"PETER L. SIMON","raw_affiliation_strings":["Department of Applied Analysis, E\u00f6tv\u00f6s Lor\u00e1nd University Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Applied Analysis, E\u00f6tv\u00f6s Lor\u00e1nd University Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079747089","display_name":"Andr\u00e1s Volford","orcid":null},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"ANDR\u00c1S VOLFORD","raw_affiliation_strings":["Department of Chemical Physics, Budapest University of Technology and Economics, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Physics, Budapest University of Technology and Economics, Hungary","institution_ids":["https://openalex.org/I29770179"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.637,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":4,"citation_normalized_percentile":{"value":0.484675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":74,"max":76},"biblio":{"volume":"16","issue":"02","first_page":"349","last_page":"367"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9974,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9974,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9857,"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/T10342","display_name":"Circadian rhythm and melatonin","score":0.9855,"subfield":{"id":"https://openalex.org/subfields/2807","display_name":"Endocrine and Autonomic Systems"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.67711616},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.67711174},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5833837},{"id":"https://openalex.org/keywords/phase-plane","display_name":"Phase plane","score":0.43347996}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.677554},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.67711616},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.67711174},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.62722546},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.622265},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5884536},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5833837},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49259907},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.48597655},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.48177573},{"id":"https://openalex.org/C157626765","wikidata":"https://www.wikidata.org/wiki/Q2088081","display_name":"Phase plane","level":3,"score":0.43347996},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.43044215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2752918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25426155},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.159089},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014848","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1486453207","https://openalex.org/W1505499988","https://openalex.org/W1530314303","https://openalex.org/W156465780","https://openalex.org/W2017428033","https://openalex.org/W2065949669","https://openalex.org/W2116527365","https://openalex.org/W2118809524","https://openalex.org/W2135694744","https://openalex.org/W2166198789","https://openalex.org/W4214513274","https://openalex.org/W595524075"],"related_works":["https://openalex.org/W4214588273","https://openalex.org/W2978098199","https://openalex.org/W2374651525","https://openalex.org/W2372419504","https://openalex.org/W2368165912","https://openalex.org/W2143208590","https://openalex.org/W2093909018","https://openalex.org/W2054978396","https://openalex.org/W2003334682","https://openalex.org/W1983551025"],"abstract_inverted_index":{"A":[0],"two":[1,9,72],"variable":[2],"model":[3,20],"describing":[4],"the":[5,29,50,69,76,98,102,109,114,136,154,170,175,195],"circadian":[6],"fluctuation":[7],"of":[8,71,101,113,131,146,165,193],"proteins":[10],"(PER":[11],"and":[12,26,54,62,111],"TIM)":[13],"in":[14,46,58,68,119,189],"cells":[15],"is":[16,85,128,150],"considered.":[17],"The":[18,60,123],"original":[19],"was":[21,32],"set":[22],"up":[23],"by":[24,34,74],"Leloup":[25],"Goldbeter":[27],"[1998],":[28],"present":[30],"form":[31],"developed":[33],"Tyson":[35],"et":[36,81],"al.":[37],"[1999].":[38],"Periodic":[39],"solutions":[40],"with":[41,181,200],"24-h":[42],"period":[43,157,201],"were":[44],"investigated":[45],"those":[47,166],"papers.":[48],"Here":[49],"possible":[51],"phase":[52,148],"portraits":[53],"bifurcations":[55],"are":[56,66,89,104,117,159],"studied":[57],"detail.":[59],"saddle-node":[61],"Hopf":[63],"bifurcation":[64,125,132],"curves":[65,108,133,158,163],"determined":[67,118],"plane":[70,139,172],"parameters":[73,100,194],"using":[75],"parametric":[77],"representation":[78],"method":[79],"[Simon":[80],"al.,":[82],"1999].":[83],"It":[84,185],"shown":[86],"that":[87,134,188],"there":[88],"four":[90,121],"cases":[91],"according":[92,142],"to":[93,143,203],"their":[94],"mutual":[95],"position":[96],"(as":[97],"remaining":[99],"system":[103,130,176,196],"varied).":[105],"Using":[106],"these":[107],"number":[110],"type":[112],"stationary":[115],"points":[116],"all":[120],"cases.":[122],"global":[124,147],"diagram,":[126],"which":[127,174],"a":[129,178,182,190],"divide":[135],"given":[137,183],"parameter":[138,167,171],"into":[140],"regions":[141],"topological":[144],"equivalence":[145],"portraits,":[149],"also":[151],"determined.":[152],"Finally,":[153],"so-called":[155],"constant":[156],"computed":[160],"numerically.":[161],"These":[162],"consist":[164],"pairs":[168],"on":[169],"for":[173],"has":[177,197],"limit":[179,198],"cycle":[180],"period.":[184],"turns":[186],"out":[187],"wide":[191],"range":[192],"cycles":[199],"close":[202],"24-h.":[204]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2152830022","counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2024-12-10T22:46:57.042205","created_date":"2016-06-24"}