{"id":"https://openalex.org/W1968635814","doi":"https://doi.org/10.7148/2013-0130","title":"Bifurcation Effects In Degenerate Differential Models Of Subpopulation Dynamics","display_name":"Bifurcation Effects In Degenerate Differential Models Of Subpopulation Dynamics","publication_year":2013,"publication_date":"2013-05-27","ids":{"openalex":"https://openalex.org/W1968635814","doi":"https://doi.org/10.7148/2013-0130","mag":"1968635814"},"language":"en","primary_location":{"id":"doi:10.7148/2013-0130","is_oa":false,"landing_page_url":"https://doi.org/10.7148/2013-0130","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ECMS 2013 Proceedings edited by: Webjorn Rekdalsbakken, Robin T. Bye, Houxiang Zhang","raw_type":"proceedings-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/A5057797675","display_name":"\u0421.\u0412. \u0427\u0435\u0440\u043d\u044b\u0448\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0002-2852-6878"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Serge V. Chernyshenko","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036275575","display_name":"Oleksandr Kuzenkov","orcid":"https://orcid.org/0000-0002-6378-7993"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olexandr O. Kuzenkov","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057797675"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10195057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"130","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9598000049591064,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9598000049591064,"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/bifurcation","display_name":"Bifurcation","score":0.7838411331176758},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6404705047607422},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5896104574203491},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.5307186841964722},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4252765476703644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35091325640678406},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.3497951626777649},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3495219349861145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29976439476013184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2910109758377075},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24079221487045288}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7838411331176758},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6404705047607422},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5896104574203491},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.5307186841964722},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4252765476703644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35091325640678406},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.3497951626777649},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3495219349861145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29976439476013184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2910109758377075},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24079221487045288},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.7148/2013-0130","is_oa":false,"landing_page_url":"https://doi.org/10.7148/2013-0130","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ECMS 2013 Proceedings edited by: Webjorn Rekdalsbakken, Robin T. Bye, Houxiang Zhang","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2391540797","https://openalex.org/W2005355485","https://openalex.org/W1570727143","https://openalex.org/W2703435152","https://openalex.org/W168375694","https://openalex.org/W2063555990","https://openalex.org/W2002820797","https://openalex.org/W2119092717","https://openalex.org/W2587625811","https://openalex.org/W1530482060"],"abstract_inverted_index":{"The":[0,42,63],"model":[1,105],"of":[2,5,13,18,25,34,44,47,52,59,65,75,106],"subpopulation":[3,66,99,107],"dynamic":[4],"the":[6,19,23,26,78,98,103,110],"LotkaVolterra":[7],"type":[8],"has":[9,36],"been":[10,37],"investigated.":[11],"Stability":[12],"stationary":[14],"points":[15],"and":[16,57,90],"hyper-planes":[17],"system":[20,35],"was":[21],"in":[22,81,109],"focus":[24],"article;":[27],"appearance":[28],"conditions":[29],"are":[30],"found.":[31],"Bifurcation":[32],"analysis":[33],"realized":[38],"also.":[39],"MATHEMATICAL":[40],"MODEL":[41],"majority":[43],"existing":[45],"models":[46],"population":[48],"dynamics":[49,51,67,108],"describe":[50],"whole":[53],"populations,":[54],"their":[55],"interaction":[56],"influence":[58],"environment":[60],"for":[61],"them.":[62],"phenomenon":[64],"is":[68,77],"considered":[69],"with":[70],"much":[71],"less":[72],"attention.":[73],"One":[74],"reasons":[76],"fact":[79],"that":[80],"most":[82],"cases":[83],"subpopulations":[84],"aren't":[85],"isolated":[86],"from":[87],"each":[88],"other":[89],"exchange":[91],"by":[92],"individuals.":[93],"For":[94],"taking":[95],"into":[96],"account":[97],"effects,":[100],"let\u2019s":[101],"consider":[102],"general":[104],"form:":[111]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
