{"id":"https://openalex.org/W2802908211","doi":"https://doi.org/10.3390/e20050365","title":"Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment","display_name":"Analysis of Chaotic Behavior in a Novel Extended Love Model Considering Positive and Negative External Environment","publication_year":2018,"publication_date":"2018-05-14","ids":{"openalex":"https://openalex.org/W2802908211","doi":"https://doi.org/10.3390/e20050365","mag":"2802908211","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265455"},"language":"en","primary_location":{"id":"doi:10.3390/e20050365","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20050365","pdf_url":"https://www.mdpi.com/1099-4300/20/5/365/pdf?version=1526303972","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/5/365/pdf?version=1526303972","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089052376","display_name":"Linyun Huang","orcid":"https://orcid.org/0000-0002-7970-489X"},"institutions":[{"id":"https://openalex.org/I111277659","display_name":"Chonnam National University","ror":"https://ror.org/05kzjxq56","country_code":"KR","type":"education","lineage":["https://openalex.org/I111277659"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Linyun Huang","raw_affiliation_strings":["Department of Biomedical and Electronic Engineering, Chonnam National University, Yeosu 59626, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical and Electronic Engineering, Chonnam National University, Yeosu 59626, Korea","institution_ids":["https://openalex.org/I111277659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085351058","display_name":"Young-Chul Bae","orcid":"https://orcid.org/0000-0003-3184-9667"},"institutions":[{"id":"https://openalex.org/I111277659","display_name":"Chonnam National University","ror":"https://ror.org/05kzjxq56","country_code":"KR","type":"education","lineage":["https://openalex.org/I111277659"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Youngchul Bae","raw_affiliation_strings":["Division of Electrical Electronic Communication and Computer Engineering, Chonnam National University, Yeosu 59626, Korea"],"raw_orcid":"https://orcid.org/0000-0003-3184-9667","affiliations":[{"raw_affiliation_string":"Division of Electrical Electronic Communication and Computer Engineering, Chonnam National University, Yeosu 59626, Korea","institution_ids":["https://openalex.org/I111277659"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085351058"],"corresponding_institution_ids":["https://openalex.org/I111277659"],"apc_list":{"value":2600,"currency":"CHF","value_usd":3137},"apc_paid":{"value":2600,"currency":"CHF","value_usd":3137},"fwci":0.5285,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.62893947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"5","first_page":"365","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9955000281333923,"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":0.9955000281333923,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9678999781608582,"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/advice","display_name":"Advice (programming)","score":0.8496139049530029},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7224394083023071},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.7222900390625},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7096147537231445},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6705581545829773},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5422935485839844},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3758409321308136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37417078018188477},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36370229721069336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33122432231903076},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32556474208831787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25240081548690796},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23219317197799683},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16264766454696655},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1588689386844635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.143286794424057}],"concepts":[{"id":"https://openalex.org/C2779955035","wikidata":"https://www.wikidata.org/wiki/Q4686785","display_name":"Advice (programming)","level":2,"score":0.8496139049530029},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7224394083023071},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.7222900390625},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7096147537231445},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6705581545829773},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5422935485839844},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3758409321308136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37417078018188477},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36370229721069336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33122432231903076},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32556474208831787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25240081548690796},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23219317197799683},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16264766454696655},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1588689386844635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.143286794424057},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e20050365","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20050365","pdf_url":"https://www.mdpi.com/1099-4300/20/5/365/pdf?version=1526303972","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33265455","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265455","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:7512886","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7512886","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/5/365/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e20050365","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy; Volume 20; Issue 5; Pages: 365","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e20050365","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20050365","pdf_url":"https://www.mdpi.com/1099-4300/20/5/365/pdf?version=1526303972","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321198","display_name":"Chonnam National University","ror":"https://ror.org/05kzjxq56"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2802908211.pdf","grobid_xml":"https://content.openalex.org/works/W2802908211.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W984437536","https://openalex.org/W1480796439","https://openalex.org/W1518039430","https://openalex.org/W1925630439","https://openalex.org/W1970021787","https://openalex.org/W1985303893","https://openalex.org/W1989971365","https://openalex.org/W1993149624","https://openalex.org/W1998238222","https://openalex.org/W1998662079","https://openalex.org/W2008764385","https://openalex.org/W2035198632","https://openalex.org/W2040119432","https://openalex.org/W2055263137","https://openalex.org/W2055771228","https://openalex.org/W2061584862","https://openalex.org/W2090958678","https://openalex.org/W2098157936","https://openalex.org/W2099661321","https://openalex.org/W2120944586","https://openalex.org/W2133516061","https://openalex.org/W2160623135","https://openalex.org/W2290387140","https://openalex.org/W2297943564","https://openalex.org/W2341203779","https://openalex.org/W2343744781","https://openalex.org/W2344220709","https://openalex.org/W2485405784","https://openalex.org/W2564209323","https://openalex.org/W2601851202","https://openalex.org/W2605543710","https://openalex.org/W2687945095","https://openalex.org/W2735153052","https://openalex.org/W2738376467","https://openalex.org/W2751409885","https://openalex.org/W2782832274","https://openalex.org/W2792787953","https://openalex.org/W3103157921","https://openalex.org/W4205488813","https://openalex.org/W4321196221","https://openalex.org/W6640161173","https://openalex.org/W6647828507","https://openalex.org/W6659376563","https://openalex.org/W6704094780","https://openalex.org/W6740141201","https://openalex.org/W6740878253","https://openalex.org/W6742109326"],"related_works":["https://openalex.org/W1083439616","https://openalex.org/W2978842908","https://openalex.org/W3048968476","https://openalex.org/W2023046846","https://openalex.org/W1628429654","https://openalex.org/W3138933321","https://openalex.org/W2093909018","https://openalex.org/W2374651525","https://openalex.org/W2147537746","https://openalex.org/W2788936494"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,18,22,43,61,69,76,82,89,131,147,176,182,187,193,199,205],"this":[3],"study":[4],"was":[5,72,85],"to":[6],"describe":[7],"a":[8,52,129],"novel":[9,138],"extended":[10,104,139],"dynamical":[11],"love":[12,20,106,141],"model":[13],"with":[14,108,143],"the":[15,19,28,38,58,67,80,98,102,124,137,171,174,180,185,191,197,203],"external":[16,32,94,109,148],"environments":[17,33,149],"story":[21],"Romeo":[23],"and":[24,40,48,63,123,163,196],"Juliet.":[25],"We":[26,45,153],"used":[27,112],"sinusoidal":[29],"function":[30],"as":[31,34],"it":[35],"could":[36],"represent":[37],"positive":[39,47,62,70,83,177,188,200],"negative":[41,49,64,77,90,183,194,206],"characteristics":[42],"humans.":[44],"considered":[46],"advice":[50,71,84,91,178,189,201],"from":[51],"third":[53],"person.":[54],"First,":[55],"we":[56,111,134],"applied":[57],"same":[59],"amount":[60,68,81,175,181,186,192,198,204],"advice.":[65,78,207],"Second,":[66],"greater":[73],"than":[74,87],"that":[75,88,136],"Third,":[79],"smaller":[86],"in":[92,101],"an":[93],"environment.":[95],"To":[96],"verify":[97],"chaotic":[99,151,164],"phenomena":[100],"proposed":[103],"dynamic":[105,140],"affair":[107],"environments,":[110],"time":[113],"series,":[114],"phase":[115],"portraits,":[116],"power":[117],"spectrum,":[118],"Poincare":[119],"map,":[120],"bifurcation":[121],"diagram,":[122],"maximal":[125],"Lyapunov":[126],"exponent.":[127],"With":[128],"variation":[130],"parameter":[132,167],"\"a\",":[133],"recognized":[135],"affairs":[142],"different":[144],"three":[145],"situations":[146],"had":[150],"behaviors.":[152],"showed":[154],"1,":[155],"2,":[156],"4":[157],"periodic":[158],"motion,":[159],"R\u00f6ssler":[160],"type":[161],"attractor,":[162],"attractor":[165],"when":[166],"\"a\"":[168],"varied":[169],"under":[170],"following":[172],"conditions:":[173],"=":[179],"advice,":[184,195],">":[190],"<":[202]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}