{"id":"https://openalex.org/W3153127310","doi":"https://doi.org/10.1155/2021/6666677","title":"Synchronization of a Class of Chaotic Systems with Different Dimensions","display_name":"Synchronization of a Class of Chaotic Systems with Different Dimensions","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3153127310","doi":"https://doi.org/10.1155/2021/6666677","mag":"3153127310"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6666677","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6666677","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6666677.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/2021/6666677.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002136164","display_name":"Jiming Zheng","orcid":"https://orcid.org/0000-0002-6237-0168"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiming Zheng","raw_affiliation_strings":["Key Laboratory of Intelligent Analysis and Decision Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Analysis and Decision Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050064571","display_name":"Juan Li","orcid":"https://orcid.org/0000-0003-2427-8325"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Li","raw_affiliation_strings":["School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002136164"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.2626,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52449664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"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":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9927999973297119,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9907000064849854,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.8044736385345459},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.7256363034248352},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6969355344772339},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.6542208790779114},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.6310780048370361},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6216342449188232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5604023337364197},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5585774183273315},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.532096266746521},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4885212182998657},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4748378396034241},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4686787724494934},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.42811688780784607},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4259139597415924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3475455641746521},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.286842405796051},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10709977149963379},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08039727807044983},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04949590563774109}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8044736385345459},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.7256363034248352},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6969355344772339},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.6542208790779114},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.6310780048370361},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6216342449188232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5604023337364197},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5585774183273315},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.532096266746521},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4885212182998657},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4748378396034241},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4686787724494934},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.42811688780784607},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4259139597415924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3475455641746521},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.286842405796051},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10709977149963379},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08039727807044983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04949590563774109},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/6666677","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6666677","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6666677.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:6666677","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/6666677.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:4052f99eb07a42b6881fbfeb5f72f0e9","is_oa":true,"landing_page_url":"https://doaj.org/article/4052f99eb07a42b6881fbfeb5f72f0e9","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 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6666677","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6666677","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6666677.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/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3576345172","display_name":null,"funder_award_id":"61876201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5733390078","display_name":null,"funder_award_id":"Grant nos.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7424790133","display_name":null,"funder_award_id":"11901073","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3153127310.pdf","grobid_xml":"https://content.openalex.org/works/W3153127310.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1908664704","https://openalex.org/W1967008192","https://openalex.org/W1968076224","https://openalex.org/W1970442252","https://openalex.org/W1973695584","https://openalex.org/W2032753071","https://openalex.org/W2074728235","https://openalex.org/W2087799024","https://openalex.org/W2314781336","https://openalex.org/W2411043875","https://openalex.org/W2517769558","https://openalex.org/W2610114238","https://openalex.org/W2769220237","https://openalex.org/W2769679916","https://openalex.org/W2811384361","https://openalex.org/W2819831608","https://openalex.org/W2889366605","https://openalex.org/W2889613670","https://openalex.org/W2903838129","https://openalex.org/W2904492827","https://openalex.org/W2942720718","https://openalex.org/W2993326922","https://openalex.org/W2999899931","https://openalex.org/W3043347141","https://openalex.org/W4246474879","https://openalex.org/W4252639814"],"related_works":["https://openalex.org/W2103496243","https://openalex.org/W1981944371","https://openalex.org/W2069291020","https://openalex.org/W2023303993","https://openalex.org/W2017826852","https://openalex.org/W2005085248","https://openalex.org/W2016918291","https://openalex.org/W1988325506","https://openalex.org/W2384606830","https://openalex.org/W2390217026"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"two":[3],"scaling":[4],"matrices":[5],"are":[6,52,68],"used":[7],"to":[8,54,71],"research":[9],"the":[10,21,73,76],"synchronization":[11,24,56],"of":[12,23,25,57,75],"different":[13,29,62],"dimensional":[14],"chaotic":[15,26,59],"systems":[16,27,60],"with":[17,28,61],"unknown":[18],"parameters.":[19],"Firstly,":[20],"definition":[22],"dimensions":[30],"is":[31],"introduced.":[32],"Secondly,":[33],"based":[34],"on":[35],"Lyapunov":[36],"stability":[37],"theorem":[38],"and":[39,48],"adaptive":[40,44,50],"control":[41],"method,":[42],"an":[43],"feedback":[45],"hybrid":[46],"controller":[47],"parameter":[49],"laws":[51],"designed":[53],"realize":[55],"uncertain":[58],"dimensions.":[63],"Finally,":[64],"three":[65],"numerical":[66],"experiments":[67],"carried":[69],"out":[70],"verify":[72],"effectiveness":[74],"proposed":[77],"method.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
