{"id":"https://openalex.org/W3185404190","doi":"https://doi.org/10.1155/2021/4636658","title":"Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode","display_name":"Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3185404190","doi":"https://doi.org/10.1155/2021/4636658","mag":"3185404190"},"language":"en","primary_location":{"id":"doi:10.1155/2021/4636658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/4636658","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/4636658.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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/2021/4636658.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011008552","display_name":"Paul Yaovi Dousseh","orcid":"https://orcid.org/0000-0003-3206-5709"},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Paul Yaovi Dousseh","raw_affiliation_strings":["Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin","institution_ids":["https://openalex.org/I4210123509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109333079","display_name":"Cyrille Ainamon","orcid":"https://orcid.org/0009-0009-6550-2769"},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Cyrille Ainamon","raw_affiliation_strings":["Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin","institution_ids":["https://openalex.org/I4210123509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090717115","display_name":"C. H. Miwadinou","orcid":"https://orcid.org/0000-0001-9369-9583"},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]},{"id":"https://openalex.org/I4210134560","display_name":"National University of Sciences, Technologies, Engineering and Mathematics","ror":"https://ror.org/0421qr997","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210134560"]}],"countries":["BJ"],"is_corresponding":true,"raw_author_name":"Cl\u00e9ment Hod\u00e9v\u00e8wan Miwadinou","raw_affiliation_strings":["D\u00e9partement de Physique, ENS-Natitingou, Universit\u00e9 des Sciences, Technologies, Ing\u00e9nierie et Math\u00e9matiques (UNSTIM), Abomey, Benin","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","Laboratoire de Physique et Applications du Centre Universitaire de Natitingou, Universit\u00e9 Nationale des Sciences, Technologiques, Ing\u00e9nierie et Math\u00e9matiques (UNSTIM), Abomey, Benin","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin"],"raw_orcid":"https://orcid.org/0000-0001-9369-9583","affiliations":[{"raw_affiliation_string":"D\u00e9partement de Physique, ENS-Natitingou, Universit\u00e9 des Sciences, Technologies, Ing\u00e9nierie et Math\u00e9matiques (UNSTIM), Abomey, Benin","institution_ids":["https://openalex.org/I4210134560"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Laboratoire de Physique et Applications du Centre Universitaire de Natitingou, Universit\u00e9 Nationale des Sciences, Technologiques, Ing\u00e9nierie et Math\u00e9matiques (UNSTIM), Abomey, Benin","institution_ids":["https://openalex.org/I4210134560"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin","institution_ids":["https://openalex.org/I4210123509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006113228","display_name":"A. V. Monwanou","orcid":"https://orcid.org/0000-0001-5155-5127"},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Adjimon Vincent Monwanou","raw_affiliation_strings":["Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin","institution_ids":["https://openalex.org/I4210123509"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047465654","display_name":"J. B. Chabi Orou","orcid":"https://orcid.org/0000-0001-7695-6138"},"institutions":[{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Jean Bio Chabi Orou","raw_affiliation_strings":["Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin imsp-benin.com","institution_ids":["https://openalex.org/I4210123509"]},{"raw_affiliation_string":"Laboratoire de M\u00e9caniques des fluides, de la Dynamique Non-lin\u00e9aire et de la Mod\u00e9lisation des Syst\u00e8mes Biologiques (LMFDNMSB), Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), Porto-Novo, Benin","institution_ids":["https://openalex.org/I4210123509"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090717115"],"corresponding_institution_ids":["https://openalex.org/I4210123509","https://openalex.org/I4210134560"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":2.0895,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.8772922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"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/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9803000092506409,"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/order","display_name":"Order (exchange)","score":0.7317029237747192},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7011131048202515},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6670142412185669},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.611741304397583},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.5723630785942078},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5700969099998474},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5293442010879517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48140573501586914},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.44595953822135925},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.41594937443733215},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4132676422595978},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3568926453590393},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34288305044174194},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.33104076981544495},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.2874965965747833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2523779273033142},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.20645496249198914},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.17338314652442932},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13005411624908447}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7317029237747192},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7011131048202515},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6670142412185669},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.611741304397583},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.5723630785942078},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5700969099998474},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5293442010879517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48140573501586914},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.44595953822135925},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.41594937443733215},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4132676422595978},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3568926453590393},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34288305044174194},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.33104076981544495},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.2874965965747833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2523779273033142},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.20645496249198914},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.17338314652442932},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13005411624908447},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/4636658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/4636658","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/4636658.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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:4636658","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/4636658.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:8db99c6548d04596a6e9ce9e4e6eb5e7","is_oa":true,"landing_page_url":"https://doaj.org/article/8db99c6548d04596a6e9ce9e4e6eb5e7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/4636658","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/4636658","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/4636658.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","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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":[{"id":"https://openalex.org/G2657363633","display_name":null,"funder_award_id":"57506853","funder_id":"https://openalex.org/F4320320875","funder_display_name":"Deutscher Akademischer Austauschdienst"}],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3185404190.pdf","grobid_xml":"https://content.openalex.org/works/W3185404190.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W56786142","https://openalex.org/W1487127700","https://openalex.org/W1491698563","https://openalex.org/W1581952967","https://openalex.org/W1970416408","https://openalex.org/W1973429430","https://openalex.org/W1974514718","https://openalex.org/W1976451792","https://openalex.org/W1981938655","https://openalex.org/W1982820854","https://openalex.org/W1989996768","https://openalex.org/W1991089620","https://openalex.org/W2012613827","https://openalex.org/W2015687261","https://openalex.org/W2020938579","https://openalex.org/W2021696231","https://openalex.org/W2023262598","https://openalex.org/W2026218703","https://openalex.org/W2027955822","https://openalex.org/W2032451985","https://openalex.org/W2032565907","https://openalex.org/W2036059661","https://openalex.org/W2036891784","https://openalex.org/W2040704758","https://openalex.org/W2050580331","https://openalex.org/W2050972639","https://openalex.org/W2053986141","https://openalex.org/W2069436097","https://openalex.org/W2071125069","https://openalex.org/W2072456901","https://openalex.org/W2080815549","https://openalex.org/W2084288594","https://openalex.org/W2087022106","https://openalex.org/W2103999702","https://openalex.org/W2118244855","https://openalex.org/W2131483769","https://openalex.org/W2141394518","https://openalex.org/W2154953502","https://openalex.org/W2160607725","https://openalex.org/W2171987742","https://openalex.org/W2321703001","https://openalex.org/W2476959674","https://openalex.org/W2521317420","https://openalex.org/W2787959293","https://openalex.org/W2888799217","https://openalex.org/W2900734266","https://openalex.org/W2967676551","https://openalex.org/W2990845931","https://openalex.org/W2991590936","https://openalex.org/W3032052775","https://openalex.org/W3036873600","https://openalex.org/W3092593373","https://openalex.org/W4232347461","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2374600121","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W2027784897","https://openalex.org/W2363110465","https://openalex.org/W1987518577","https://openalex.org/W2058019391","https://openalex.org/W2061326355","https://openalex.org/W2017932791"],"abstract_inverted_index":{"In":[0],"this":[1,49,54,73],"paper,":[2],"the":[3,23,30,37,59,90,103],"dynamical":[4],"behaviors":[5],"and":[6,34,92],"chaos":[7,26,45,71],"control":[8,70],"of":[9,53,61],"a":[10,62,80],"fractional\u2010order":[11,74,94],"financial":[12,75],"system":[13,24,76],"are":[14,98],"discussed.":[15],"The":[16,51,86],"lowest":[17],"fractional":[18],"order":[19,32,39,68],"found":[20,47],"from":[21],"which":[22],"generates":[25],"is":[27,84],"2.49":[28],"for":[29,36],"commensurate":[31,91],"case":[33],"2.13":[35],"incommensurate":[38,93],"case.":[40],"Also,":[41],"period\u2010doubling":[42],"route":[43],"to":[44,69,101],"was":[46],"in":[48,67,72],"system.":[50],"results":[52],"study":[55],"were":[56],"validated":[57],"by":[58],"existence":[60],"positive":[63],"Lyapunov":[64],"exponent.":[65],"Besides,":[66],"with":[77],"uncertain":[78],"dynamics,":[79],"sliding":[81],"mode":[82],"controller":[83,88],"derived.":[85],"proposed":[87],"stabilizes":[89],"systems.":[95],"Numerical":[96],"simulations":[97],"carried":[99],"out":[100],"verify":[102],"analytical":[104],"results.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}