{"id":"https://openalex.org/W2886106752","doi":"https://doi.org/10.1155/2018/4140762","title":"Chaos and Symbol Complexity in a Conformable Fractional\u2010Order Memcapacitor System","display_name":"Chaos and Symbol Complexity in a Conformable Fractional\u2010Order Memcapacitor System","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2886106752","doi":"https://doi.org/10.1155/2018/4140762","mag":"2886106752"},"language":"en","primary_location":{"id":"doi:10.1155/2018/4140762","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/4140762","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/4140762.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/2018/4140762.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075708894","display_name":"Shaobo He","orcid":"https://orcid.org/0000-0001-5190-4841"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I196038209","display_name":"Hunan University of Arts and Science","ror":"https://ror.org/01ggnn306","country_code":"CN","type":"education","lineage":["https://openalex.org/I196038209"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaobo He","raw_affiliation_strings":["School of Computer Science and Technology, Hunan University of Arts and Science, Changde 415000, China","School of Physics and Electronics, Central South University, Changsha 410083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Hunan University of Arts and Science, Changde 415000, China","institution_ids":["https://openalex.org/I196038209"]},{"raw_affiliation_string":"School of Physics and Electronics, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088552753","display_name":"Santo Banerjee","orcid":"https://orcid.org/0000-0002-2135-695X"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Santo Banerjee","raw_affiliation_strings":["Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor, Malaysia","Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-2135-695X","affiliations":[{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101660965","display_name":"Bo Yan","orcid":"https://orcid.org/0000-0001-6498-5767"},"institutions":[{"id":"https://openalex.org/I196038209","display_name":"Hunan University of Arts and Science","ror":"https://ror.org/01ggnn306","country_code":"CN","type":"education","lineage":["https://openalex.org/I196038209"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Yan","raw_affiliation_strings":["School of Computer Science and Technology, Hunan University of Arts and Science, Changde 415000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Hunan University of Arts and Science, Changde 415000, China","institution_ids":["https://openalex.org/I196038209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088552753"],"corresponding_institution_ids":["https://openalex.org/I130343225"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":2.9098,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91240157,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9983000159263611,"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/T10244","display_name":"Chaos control and synchronization","score":0.9979000091552734,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9959999918937683,"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/conformable-matrix","display_name":"Conformable matrix","score":0.927776575088501},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5565149188041687},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5413538813591003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.514712393283844},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.45135578513145447},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.31832456588745117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2698993682861328},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21070918440818787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07986646890640259}],"concepts":[{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.927776575088501},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5565149188041687},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5413538813591003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.514712393283844},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.45135578513145447},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.31832456588745117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2698993682861328},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21070918440818787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07986646890640259},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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:10.1155/2018/4140762","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/4140762","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/4140762.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:4140762","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/4140762.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:49dfa18c33144790938fd2969a56b852","is_oa":true,"landing_page_url":"https://doaj.org/article/49dfa18c33144790938fd2969a56b852","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 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/4140762","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/4140762","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/4140762.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":[{"id":"https://openalex.org/G3021540815","display_name":null,"funder_award_id":"11747150","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8153540956","display_name":null,"funder_award_id":"BX20180386","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G861568093","display_name":null,"funder_award_id":"2018JJ4015","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322191","display_name":"Hunan University","ror":"https://ror.org/05htk5m33"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320332178","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2886106752.pdf","grobid_xml":"https://content.openalex.org/works/W2886106752.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1485022839","https://openalex.org/W1489022300","https://openalex.org/W1680956864","https://openalex.org/W1717965682","https://openalex.org/W1972926236","https://openalex.org/W1990306796","https://openalex.org/W2005421374","https://openalex.org/W2018258488","https://openalex.org/W2063067239","https://openalex.org/W2069283955","https://openalex.org/W2077288479","https://openalex.org/W2080931732","https://openalex.org/W2091220454","https://openalex.org/W2112181056","https://openalex.org/W2143455763","https://openalex.org/W2162651880","https://openalex.org/W2182274314","https://openalex.org/W2203934738","https://openalex.org/W2285217069","https://openalex.org/W2336401120","https://openalex.org/W2346307634","https://openalex.org/W2347185331","https://openalex.org/W2518750010","https://openalex.org/W2562096711","https://openalex.org/W2576606251","https://openalex.org/W2582662555","https://openalex.org/W2588148365","https://openalex.org/W2599419876","https://openalex.org/W2624048621","https://openalex.org/W2737867005","https://openalex.org/W2743455512","https://openalex.org/W2745264798","https://openalex.org/W2762918090","https://openalex.org/W2765983619","https://openalex.org/W2768215384","https://openalex.org/W2769027801","https://openalex.org/W2770955617","https://openalex.org/W2772396230","https://openalex.org/W2782271542","https://openalex.org/W2782784530","https://openalex.org/W2783239065","https://openalex.org/W2963378681","https://openalex.org/W3104131705"],"related_works":["https://openalex.org/W2361515791","https://openalex.org/W2379488025","https://openalex.org/W2318462079","https://openalex.org/W2585728124","https://openalex.org/W2169362996","https://openalex.org/W2565482338","https://openalex.org/W2001163940","https://openalex.org/W2121212734","https://openalex.org/W2082884906","https://openalex.org/W3014531371"],"abstract_inverted_index":{"Application":[0],"of":[1,26,42,53,75],"conformable":[2,28,37,44,123],"fractional":[3,29,45],"calculus":[4],"in":[5,18],"nonlinear":[6,30,125],"dynamics":[7,62],"is":[8,32,49,63,79],"a":[9,27,43,130],"new":[10],"topic,":[11],"and":[12,56,65,68,93,113],"it":[13],"has":[14],"received":[15],"increasing":[16],"interests":[17],"recent":[19],"years.":[20],"In":[21],"this":[22],"paper,":[23],"numerical":[24],"solution":[25],"system":[31,48,78,109,126],"obtained":[33],"based":[34],"on":[35],"the":[36,76,83,108,115,122],"differential":[38],"transform":[39],"method.":[40],"Dynamics":[41],"memcapacitor":[46,124],"(CFM)":[47],"analyzed":[50],"by":[51,81,107],"means":[52],"bifurcation":[54],"diagram":[55],"Lyapunov":[57],"characteristic":[58],"exponents":[59],"(LCEs).":[60],"Rich":[61],"found,":[64],"coexisting":[66],"attractors":[67],"transient":[69],"state":[70],"are":[71],"observed.":[72],"Symbol":[73],"complexity":[74,112],"CFM":[77],"estimated":[80],"employing":[82],"symbolic":[84,88,94],"entropy":[85,90],"(SybEn)":[86],"algorithm,":[87,92],"spectral":[89],"(SybSEn)":[91],"C":[95],"0":[96,98],"(SybC":[97],")":[99],"algorithm.":[100],"It":[101],"shows":[102],"that":[103,121],"pseudorandom":[104],"sequences":[105],"generated":[106],"have":[110],"high":[111],"pass":[114],"rigorous":[116],"NIST":[117],"test.":[118],"Results":[119],"demonstrate":[120],"can":[127],"also":[128],"be":[129],"good":[131],"model":[132],"for":[133],"real":[134],"applications.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}