{"id":"https://openalex.org/W3092593373","doi":"https://doi.org/10.1155/2020/8821156","title":"A Study on the Complexity of a New Chaotic Financial System","display_name":"A Study on the Complexity of a New Chaotic Financial System","publication_year":2020,"publication_date":"2020-10-10","ids":{"openalex":"https://openalex.org/W3092593373","doi":"https://doi.org/10.1155/2020/8821156","mag":"3092593373"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8821156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8821156","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8821156.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8821156.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028907524","display_name":"Yi Liao","orcid":"https://orcid.org/0000-0001-6787-873X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Liao","raw_affiliation_strings":["School of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083595043","display_name":"Yiran Zhou","orcid":"https://orcid.org/0000-0002-9110-888X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiran Zhou","raw_affiliation_strings":["School of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101753007","display_name":"Fei Xu","orcid":"https://orcid.org/0000-0003-2684-5004"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Fei Xu","raw_affiliation_strings":["Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I75381157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088669330","display_name":"Xiao\u2010Bao Shu","orcid":"https://orcid.org/0000-0002-8256-5130"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Bao Shu","raw_affiliation_strings":["Department of Mathematics, Hunan University, Changsha 410082, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hunan University, Changsha 410082, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101753007"],"corresponding_institution_ids":["https://openalex.org/I75381157"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":3.6648,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94924274,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9966999888420105,"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":0.9947999715805054,"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":0.9660999774932861,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7272042036056519},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6183587312698364},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5921961665153503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5333250761032104},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.517841637134552},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.49664241075515747},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.492149293422699},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.48225265741348267},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.4705146849155426},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4339161217212677},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3991335332393646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3396785259246826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3248094618320465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2013239562511444},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12296220660209656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10638755559921265},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08720928430557251}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7272042036056519},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6183587312698364},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5921961665153503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5333250761032104},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.517841637134552},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.49664241075515747},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.492149293422699},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.48225265741348267},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.4705146849155426},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4339161217212677},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3991335332393646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3396785259246826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3248094618320465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2013239562511444},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12296220660209656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10638755559921265},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08720928430557251},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/8821156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8821156","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8821156.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8821156","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/8821156.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:53ca8183393a4613acfec47950e9c570","is_oa":true,"landing_page_url":"https://doaj.org/article/53ca8183393a4613acfec47950e9c570","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/8821156","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8821156","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8821156.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3092593373.pdf","grobid_xml":"https://content.openalex.org/works/W3092593373.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1967008192","https://openalex.org/W2022666585","https://openalex.org/W2023224546","https://openalex.org/W2036870441","https://openalex.org/W2054034433","https://openalex.org/W2069436097","https://openalex.org/W2079002015","https://openalex.org/W2094449439","https://openalex.org/W2141394518","https://openalex.org/W2155581205","https://openalex.org/W2171987742","https://openalex.org/W2319546164","https://openalex.org/W2324488533","https://openalex.org/W2465139856","https://openalex.org/W2796489593","https://openalex.org/W2884658876","https://openalex.org/W2897530483","https://openalex.org/W2952621283","https://openalex.org/W2967616623","https://openalex.org/W2989996302","https://openalex.org/W2998983479","https://openalex.org/W2999561236","https://openalex.org/W3123410966","https://openalex.org/W4231342777","https://openalex.org/W4232347461","https://openalex.org/W4245425871"],"related_works":["https://openalex.org/W2320196587","https://openalex.org/W4247599920","https://openalex.org/W4243901518","https://openalex.org/W4383267773","https://openalex.org/W3110439525","https://openalex.org/W4251075027","https://openalex.org/W2393451533","https://openalex.org/W4206623065","https://openalex.org/W2358131398","https://openalex.org/W2889373502"],"abstract_inverted_index":{"The":[0],"interaction":[1],"of":[2,20,27,44,62],"elements":[3],"in":[4],"a":[5,18,28,42,59],"financial":[6,29],"system":[7,19,30,40,55,63],"can":[8],"exhibit":[9],"complex":[10],"dynamic":[11,46],"behaviours.":[12],"In":[13],"this":[14],"article,":[15],"we":[16],"use":[17],"differential":[21],"equations":[22],"to":[23],"model":[24],"the":[25,39,54],"evolution":[26],"and":[31],"study":[32],"its":[33],"complexity.":[34],"Numerical":[35],"simulations":[36],"show":[37,52],"that":[38,53],"exhibits":[41],"variety":[43],"rich":[45],"behaviours,":[47],"including":[48],"chaos.":[49],"Bifurcation":[50],"diagrams":[51],"behaves":[56],"chaotically":[57],"over":[58],"wide":[60],"range":[61],"parameters.":[64]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
