{"id":"https://openalex.org/W4385062198","doi":"https://doi.org/10.1109/tcsii.2023.3297174","title":"New Synchronization Criterion of Incommensurate Fractional-Order Chaotic Systems","display_name":"New Synchronization Criterion of Incommensurate Fractional-Order Chaotic Systems","publication_year":2023,"publication_date":"2023-07-20","ids":{"openalex":"https://openalex.org/W4385062198","doi":"https://doi.org/10.1109/tcsii.2023.3297174"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2023.3297174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2023.3297174","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5100430192","display_name":"Liping Chen","orcid":"https://orcid.org/0000-0002-8110-5378"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liping Chen","raw_affiliation_strings":["School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033373333","display_name":"Min Xue","orcid":"https://orcid.org/0000-0002-5645-3768"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Xue","raw_affiliation_strings":["School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024823282","display_name":"Ant\u00f3nio M. Lopes","orcid":"https://orcid.org/0000-0001-7359-4370"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4210121509","display_name":"Institute of Mechanical Engineering and Industrial Mangement","ror":"https://ror.org/02pk7c879","country_code":"PT","type":"facility","lineage":["https://openalex.org/I182534213","https://openalex.org/I4210121509"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Ant\u00f3nio M. Lopes","raw_affiliation_strings":["LAETA/INEGI, Faculty of Engineering, University of Porto, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"LAETA/INEGI, Faculty of Engineering, University of Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210121509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076933538","display_name":"Ranchao Wu","orcid":"https://orcid.org/0000-0002-7780-0861"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ranchao Wu","raw_affiliation_strings":["School of Mathematics, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103000854","display_name":"Xiaohua Zhang","orcid":"https://orcid.org/0000-0002-6413-4097"},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohua Zhang","raw_affiliation_strings":["College of Automation, Zhongkai University of Agriculture and Engineering, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Zhongkai University of Agriculture and Engineering, Guangzhou, China","institution_ids":["https://openalex.org/I94357780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100715957","display_name":"YangQuan Chen","orcid":"https://orcid.org/0000-0002-7422-5988"},"institutions":[{"id":"https://openalex.org/I156087764","display_name":"University of California, Merced","ror":"https://ror.org/00d9ah105","country_code":"US","type":"education","lineage":["https://openalex.org/I156087764"]},{"id":"https://openalex.org/I4210145666","display_name":"Embedded Systems (United States)","ror":"https://ror.org/04742eh45","country_code":"US","type":"company","lineage":["https://openalex.org/I4210145666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yangquan Chen","raw_affiliation_strings":["Mechatronics, Embedded Systems and Automation Lab, University of California at Merced, Merced, CA, USA"],"affiliations":[{"raw_affiliation_string":"Mechatronics, Embedded Systems and Automation Lab, University of California at Merced, Merced, CA, USA","institution_ids":["https://openalex.org/I156087764","https://openalex.org/I4210145666"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100430192"],"corresponding_institution_ids":["https://openalex.org/I16365422"],"apc_list":null,"apc_paid":null,"fwci":3.9932,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.94083941,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"71","issue":"1","first_page":"455","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9868999719619751,"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/synchronizing","display_name":"Synchronizing","score":0.926450252532959},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7340975999832153},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.6762404441833496},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.611625075340271},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5959907174110413},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5850735902786255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5309284329414368},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5028807520866394},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4700644910335541},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.43784016370773315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3579687476158142},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3221435546875},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24055710434913635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0591406524181366},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.053467243909835815}],"concepts":[{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.926450252532959},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7340975999832153},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6762404441833496},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.611625075340271},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5959907174110413},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5850735902786255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5309284329414368},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5028807520866394},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4700644910335541},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.43784016370773315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3579687476158142},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3221435546875},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24055710434913635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0591406524181366},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.053467243909835815},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2023.3297174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2023.3297174","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8022360373","display_name":null,"funder_award_id":"62073114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8892277596","display_name":null,"funder_award_id":"11971032","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":23,"referenced_works":["https://openalex.org/W1139407660","https://openalex.org/W1875478103","https://openalex.org/W2038377417","https://openalex.org/W2042454063","https://openalex.org/W2235689871","https://openalex.org/W2412046899","https://openalex.org/W2477921776","https://openalex.org/W2745324256","https://openalex.org/W2886529726","https://openalex.org/W2909847834","https://openalex.org/W2943134181","https://openalex.org/W2987928114","https://openalex.org/W2991275169","https://openalex.org/W3110286093","https://openalex.org/W3126323204","https://openalex.org/W3164744552","https://openalex.org/W3184745603","https://openalex.org/W3195625536","https://openalex.org/W3211988199","https://openalex.org/W3217167046","https://openalex.org/W4211107109","https://openalex.org/W4224103072","https://openalex.org/W6748396876"],"related_works":["https://openalex.org/W767576","https://openalex.org/W2039166367","https://openalex.org/W2070901082","https://openalex.org/W4230387780","https://openalex.org/W2183239618","https://openalex.org/W2362022004","https://openalex.org/W2035775976","https://openalex.org/W2377714183","https://openalex.org/W2107002852","https://openalex.org/W1970442252"],"abstract_inverted_index":{"The":[0,103],"synchronization":[1,27,52],"of":[2,28,53,100,105],"fractional-order":[3,30],"(FO)":[4],"chaotic":[5,32,55,98,117],"systems":[6,33,83,99],"has":[7],"received":[8],"much":[9],"attention":[10],"in":[11,62,78,86],"recent":[12],"years.":[13],"However,":[14],"most":[15],"research":[16],"was":[17],"focused":[18],"on":[19,70],"FO":[20,85],"commensurate":[21],"systems.":[22,56,118],"In":[23],"this":[24],"brief,":[25],"the":[26,38,51,63,65,71,87,106],"incommensurate":[29],"(IFO)":[31],"is":[34,47,74,92,109],"addressed.":[35],"By":[36],"employing":[37],"linear":[39],"feedback":[40],"control":[41],"method,":[42],"a":[43],"new":[44,66],"sufficient":[45],"condition":[46],"proposed":[48],"to":[49,76,82],"ensure":[50],"IFO":[54,97,116],"Compared":[57],"with":[58,84],"other":[59],"approaches":[60],"reported":[61],"literature,":[64],"method":[67],"depends":[68],"just":[69],"system\u2019s":[72],"parameters,":[73],"easier":[75],"implement":[77],"engineering":[79],"practice,":[80],"applies":[81],"interval":[88],"(0,":[89],"2),":[90],"and":[91],"still":[93],"valid":[94],"for":[95],"synchronizing":[96],"irrational":[101],"order.":[102],"effectiveness":[104],"theoretical":[107],"findings":[108],"illustrated":[110],"by":[111],"numerical":[112],"simulations":[113],"using":[114],"two":[115]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":8}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
