{"id":"https://openalex.org/W4214686703","doi":"https://doi.org/10.3390/sym14030484","title":"Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System","display_name":"Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System","publication_year":2022,"publication_date":"2022-02-27","ids":{"openalex":"https://openalex.org/W4214686703","doi":"https://doi.org/10.3390/sym14030484"},"language":"en","primary_location":{"id":"doi:10.3390/sym14030484","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030484","pdf_url":"https://www.mdpi.com/2073-8994/14/3/484/pdf?version=1646127798","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/3/484/pdf?version=1646127798","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031526299","display_name":"Haiyan Fu","orcid":"https://orcid.org/0000-0003-1739-6390"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyan Fu","raw_affiliation_strings":["Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China"],"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China","institution_ids":["https://openalex.org/I152269853"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065761469","display_name":"Tengfei Lei","orcid":"https://orcid.org/0000-0001-5243-1046"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tengfei Lei","raw_affiliation_strings":["Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China"],"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China","institution_ids":["https://openalex.org/I152269853"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065761469"],"corresponding_institution_ids":["https://openalex.org/I152269853"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.8743,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85306904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"484","last_page":"484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9972000122070312,"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":0.9972000122070312,"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":0.989799976348877,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9527999758720398,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.9095292687416077},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7090714573860168},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.6568384170532227},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5694542527198792},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5584304332733154},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5545700788497925},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5176916122436523},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4913245737552643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4551522433757782},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4372318387031555},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4355711340904236},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.41534945368766785},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.41115590929985046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32087159156799316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.30016469955444336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19051143527030945},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.13263484835624695},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10076060891151428},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0705905556678772}],"concepts":[{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.9095292687416077},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7090714573860168},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.6568384170532227},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5694542527198792},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5584304332733154},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5545700788497925},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5176916122436523},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4913245737552643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4551522433757782},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4372318387031555},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4355711340904236},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.41534945368766785},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.41115590929985046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32087159156799316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30016469955444336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19051143527030945},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.13263484835624695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10076060891151428},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0705905556678772},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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":3,"locations":[{"id":"doi:10.3390/sym14030484","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030484","pdf_url":"https://www.mdpi.com/2073-8994/14/3/484/pdf?version=1646127798","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a746d42307b548c28e6d13cd44a357fc","is_oa":true,"landing_page_url":"https://doaj.org/article/a746d42307b548c28e6d13cd44a357fc","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 3, p 484 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/3/484/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14030484","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14030484","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030484","pdf_url":"https://www.mdpi.com/2073-8994/14/3/484/pdf?version=1646127798","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4214686703.pdf","grobid_xml":"https://content.openalex.org/works/W4214686703.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1970940224","https://openalex.org/W1972460455","https://openalex.org/W1976314840","https://openalex.org/W1979449500","https://openalex.org/W2009587056","https://openalex.org/W2010835136","https://openalex.org/W2055424393","https://openalex.org/W2062163287","https://openalex.org/W2083559699","https://openalex.org/W2094602679","https://openalex.org/W2095360730","https://openalex.org/W2118244855","https://openalex.org/W2133987216","https://openalex.org/W2147981523","https://openalex.org/W2164790531","https://openalex.org/W2203934738","https://openalex.org/W2314217945","https://openalex.org/W2576606251","https://openalex.org/W2587504689","https://openalex.org/W2770689448","https://openalex.org/W2886106752","https://openalex.org/W2966991012","https://openalex.org/W2985259313","https://openalex.org/W3094601437","https://openalex.org/W3130040006","https://openalex.org/W3151842178","https://openalex.org/W3198877041","https://openalex.org/W3199154306","https://openalex.org/W3209020043","https://openalex.org/W4206756272","https://openalex.org/W4247371619","https://openalex.org/W4253062931","https://openalex.org/W6642911591"],"related_works":["https://openalex.org/W2233017382","https://openalex.org/W52595378","https://openalex.org/W2157347895","https://openalex.org/W2156757264","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W2272010806","https://openalex.org/W2095766034","https://openalex.org/W2429002706","https://openalex.org/W2981088255"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,28,43,88,122],"class":[4],"of":[5,22,27,42,69,75,91,128],"fractional-order":[6,29,44,84,129],"symmetric":[7],"hyperchaotic":[8,45,77,130],"systems":[9],"is":[10,33,47,94,99],"studied":[11],"based":[12,81],"on":[13,82],"the":[14,20,24,36,39,67,73,76,83,92,97,108,115,125],"Adomian":[15],"decomposition":[16],"method.":[17],"Starting":[18],"from":[19],"definition":[21],"Adomian,":[23],"nonlinear":[25],"term":[26],"five-dimensional":[30],"chaotic":[31],"system":[32,46,78,93,116],"decomposed.":[34],"At":[35],"same":[37],"time,":[38],"dynamic":[40],"behavior":[41],"analyzed":[48],"by":[49,101],"using":[50],"bifurcation":[51],"diagrams,":[52],"Lyapunov":[53],"exponent":[54],"spectrum,":[55],"complexity":[56,74],"and":[57,96],"attractor":[58],"phase":[59],"diagrams.":[60],"The":[61,103],"simulation":[62,110],"results":[63,104],"show":[64,113],"that":[65,114],"with":[66,107],"decrease":[68],"fractional":[70],"order":[71],"q,":[72],"increases.":[79],"Finally,":[80],"circuit":[85,89,98],"design":[86],"principle,":[87],"diagram":[90],"designed,":[95],"simulated":[100],"Multisim.":[102],"are":[105],"consistent":[106],"numerical":[109],"results,":[111],"which":[112,120],"can":[117],"be":[118],"realized,":[119],"provides":[121],"foundation":[123],"for":[124],"engineering":[126],"applications":[127],"systems.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}