{"id":"https://openalex.org/W3006270847","doi":"https://doi.org/10.1142/s0218127420500145","title":"Multilayer Network from Multiple Entropies for Characterizing Gas-Liquid Nonlinear Flow Behavior","display_name":"Multilayer Network from Multiple Entropies for Characterizing Gas-Liquid Nonlinear Flow Behavior","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3006270847","doi":"https://doi.org/10.1142/s0218127420500145","mag":"3006270847"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500145","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500145","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-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/A5082820311","display_name":"Zhongke Gao","orcid":"https://orcid.org/0000-0002-9551-202X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhong-Ke Gao","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-9551-202X","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067891086","display_name":"Dongmei Lv","orcid":"https://orcid.org/0000-0001-6165-4049"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong-Mei Lv","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080578053","display_name":"Weidong Dang","orcid":"https://orcid.org/0000-0002-5898-4853"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Dong Dang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-5898-4853","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083525409","display_name":"Mingxu Liu","orcid":"https://orcid.org/0000-0002-2674-1793"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Xu Liu","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110375288","display_name":"Xiaolin Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Lin Hong","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5082820311"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":0.6474,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.70965887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"01","first_page":"2050014","last_page":"2050014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9871000051498413,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9871000051498413,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9866999983787537,"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/T10244","display_name":"Chaos control and synchronization","score":0.96670001745224,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7694895267486572},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5127559900283813},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5125126838684082},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.46609747409820557},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.439363956451416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39755988121032715},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34822380542755127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33374959230422974},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3233913779258728},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2376326322555542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2145967185497284},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.15543141961097717}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7694895267486572},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5127559900283813},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5125126838684082},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.46609747409820557},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.439363956451416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39755988121032715},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34822380542755127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33374959230422974},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3233913779258728},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2376326322555542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2145967185497284},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.15543141961097717},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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":1,"locations":[{"id":"doi:10.1142/s0218127420500145","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500145","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1833849794","display_name":null,"funder_award_id":"61473203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5928784654","display_name":null,"funder_award_id":"61873181","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6723776895","display_name":null,"funder_award_id":"61922062","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1880111445","https://openalex.org/W1931531048","https://openalex.org/W1969041222","https://openalex.org/W1970463918","https://openalex.org/W1980603769","https://openalex.org/W1980748838","https://openalex.org/W1984474015","https://openalex.org/W1985978480","https://openalex.org/W2008875554","https://openalex.org/W2014683958","https://openalex.org/W2018697385","https://openalex.org/W2036121390","https://openalex.org/W2068423497","https://openalex.org/W2068951112","https://openalex.org/W2072049847","https://openalex.org/W2086317239","https://openalex.org/W2093446113","https://openalex.org/W2098005762","https://openalex.org/W2105679011","https://openalex.org/W2106309139","https://openalex.org/W2106706488","https://openalex.org/W2155402574","https://openalex.org/W2319555658","https://openalex.org/W2523271418","https://openalex.org/W2529984218","https://openalex.org/W2550678006","https://openalex.org/W2572310613","https://openalex.org/W2762115787","https://openalex.org/W2766498431","https://openalex.org/W2778901641","https://openalex.org/W2858417055","https://openalex.org/W2887123282","https://openalex.org/W2891753317","https://openalex.org/W2891995892","https://openalex.org/W2899125647","https://openalex.org/W2899284687","https://openalex.org/W2900093790","https://openalex.org/W2901051628","https://openalex.org/W2902042751","https://openalex.org/W2902800906","https://openalex.org/W2911168451","https://openalex.org/W2912587023","https://openalex.org/W2912597219","https://openalex.org/W2922078990","https://openalex.org/W2926004035","https://openalex.org/W3103589660","https://openalex.org/W3104180001","https://openalex.org/W3105087903"],"related_works":["https://openalex.org/W2382174632","https://openalex.org/W2129959498","https://openalex.org/W2784060934","https://openalex.org/W2902714807","https://openalex.org/W2537489131","https://openalex.org/W2394084632","https://openalex.org/W2358293514","https://openalex.org/W2046633342","https://openalex.org/W2059273319","https://openalex.org/W2180033908"],"abstract_inverted_index":{"Characterizing":[0],"nonlinear":[1,13,60,98,140,161],"dynamic":[2],"behaviors":[3,100],"underlying":[4],"multiphase":[5],"flow":[6,43,99,107,120,144],"has":[7],"attracted":[8],"considerable":[9],"attention":[10],"from":[11,145,164],"the":[12,19,31,41,47,56,97,102,117,123,139,146,165],"research":[14],"field.":[15],"In":[16,109],"this":[17,153],"paper,":[18],"authors":[20],"develop":[21],"a":[22,156],"novel":[23,157],"multiple":[24],"entropy-based":[25],"multilayer":[26],"network":[27,80,150],"(MEMN)":[28],"for":[29,116,159],"exploring":[30],"complex":[32,149,162],"gas-liquid":[33,42,106,143],"two-phase":[34],"flow.":[35],"At":[36],"first,":[37],"we":[38,111],"carry":[39],"out":[40],"experiments":[44],"to":[45],"get":[46],"multichannel":[48],"measurements.":[49],"Then,":[50],"MEMN":[51,134],"is":[52],"constructed":[53],"based":[54],"on":[55],"fusion":[57],"of":[58,81,104,142,148],"three":[59],"entropies,":[61],"namely":[62],"weighted":[63],"permutation":[64],"entropy":[65,70,74],"(WPE),":[66],"wavelet":[67,113],"packet":[68],"energy":[69],"(WPEE),":[71],"and":[72,85,92,122],"amplitude":[73],"(AE).":[75],"For":[76],"each":[77],"derived":[78],"projection":[79],"MEMN,":[82],"spectral":[83],"radius":[84],"global":[86],"clustering":[87],"coefficient":[88],"are":[89],"both":[90],"calculated":[91],"they":[93],"allow":[94],"effectively":[95,137],"uncovering":[96],"in":[101],"transition":[103],"different":[105],"patterns.":[108],"addition,":[110],"perform":[112],"time-frequency":[114],"representation":[115],"two":[118],"typical":[119],"patterns":[121],"results":[124],"support":[125],"our":[126,133],"findings":[127],"well.":[128],"All":[129],"these":[130],"demonstrate":[131],"that":[132],"framework":[135],"can":[136],"characterize":[138],"evolution":[141],"perspective":[147],"theory.":[151],"And":[152],"also":[154],"provides":[155],"idea":[158],"studying":[160],"systems":[163],"observed":[166],"multivariate":[167],"time":[168],"series.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}