{"id":"https://openalex.org/W2404310460","doi":"https://doi.org/10.14736/kyb-2015-6-1068","title":"Synchronization of fractional-order chaotic systems with multiple delays by a new approach","display_name":"Synchronization of fractional-order chaotic systems with multiple delays by a new approach","publication_year":2016,"publication_date":"2016-01-17","ids":{"openalex":"https://openalex.org/W2404310460","doi":"https://doi.org/10.14736/kyb-2015-6-1068","mag":"2404310460"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2015-6-1068","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2015-6-1068","pdf_url":"https://www.kybernetika.cz/content/2015/6/1068/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2015/6/1068/paper.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111404166","display_name":"Jianbing Hu","orcid":"https://orcid.org/0000-0001-9670-3322"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jianbing Hu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001360889","display_name":"Hua Wei","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hua Wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051051727","display_name":"Ling Zhao","orcid":"https://orcid.org/0000-0002-7578-4730"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lingdong Zhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6446,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70151084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1068","last_page":"1083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9959999918937683,"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":0.9959999918937683,"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":0.9609000086784363,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.960099995136261,"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/synchronizing","display_name":"Synchronizing","score":0.9645369052886963},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7757418751716614},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6933591961860657},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6599695086479187},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5729663968086243},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5473565459251404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5337748527526855},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4814009666442871},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47663769125938416},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.46547549962997437},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.4529799222946167},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4464065730571747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43820005655288696},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.36809930205345154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36226892471313477},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2198846936225891},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.15843358635902405},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15730717778205872},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10094016790390015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0683097243309021}],"concepts":[{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.9645369052886963},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7757418751716614},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6933591961860657},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6599695086479187},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5729663968086243},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5473565459251404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5337748527526855},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4814009666442871},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47663769125938416},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.46547549962997437},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.4529799222946167},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4464065730571747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43820005655288696},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.36809930205345154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36226892471313477},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2198846936225891},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.15843358635902405},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15730717778205872},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10094016790390015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0683097243309021},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2015-6-1068","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2015-6-1068","pdf_url":"https://www.kybernetika.cz/content/2015/6/1068/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/144825","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/144825","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"}],"best_oa_location":{"id":"doi:10.14736/kyb-2015-6-1068","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2015-6-1068","pdf_url":"https://www.kybernetika.cz/content/2015/6/1068/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6986490649","display_name":null,"funder_award_id":"61304062","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7725283013","display_name":null,"funder_award_id":"51167001","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"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320323090","display_name":"Nantong University","ror":"https://ror.org/02afcvw97"},{"id":"https://openalex.org/F4320324207","display_name":"Jiangsu Provincial Department of Education","ror":"https://ror.org/059md9404"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2404310460.pdf","grobid_xml":"https://content.openalex.org/works/W2404310460.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1553338987","https://openalex.org/W1971977879","https://openalex.org/W1972478479","https://openalex.org/W1977538384","https://openalex.org/W1980305321","https://openalex.org/W1998140960","https://openalex.org/W1999187055","https://openalex.org/W2004117240","https://openalex.org/W2007996579","https://openalex.org/W2015562890","https://openalex.org/W2019491139","https://openalex.org/W2021071519","https://openalex.org/W2022041578","https://openalex.org/W2024198800","https://openalex.org/W2030959812","https://openalex.org/W2032423690","https://openalex.org/W2039739128","https://openalex.org/W2043937963","https://openalex.org/W2055164561","https://openalex.org/W2066229040","https://openalex.org/W2069295222","https://openalex.org/W2088913250","https://openalex.org/W2090841989","https://openalex.org/W2098127225","https://openalex.org/W2106251230","https://openalex.org/W2113584844","https://openalex.org/W2124970715","https://openalex.org/W2162339377","https://openalex.org/W2243172344","https://openalex.org/W2265294474","https://openalex.org/W2988716417"],"related_works":["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/W1981446230","https://openalex.org/W2377714183","https://openalex.org/W2107002852","https://openalex.org/W1970442252"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,10],"new":[6],"approach":[7,32],"of":[8,16,30,66],"designing":[9],"controller":[11],"and":[12,26,51],"an":[13],"update":[14],"rule":[15],"unknown":[17,53],"parameters":[18,54],"for":[19],"synchronizing":[20,45],"fractional-order":[21],"system":[22,49],"with":[23,50],"multiple":[24],"delays":[25],"prove":[27],"the":[28,31,35,42,64,67],"correctness":[29],"according":[33],"to":[34,62],"fractional":[36,46],"Lyapunov":[37],"stable":[38],"theorem.":[39],"Based":[40],"on":[41],"proposed":[43],"approach,":[44],"delayed":[47],"chaotic":[48],"without":[52],"is":[55],"realized.":[56],"Numerical":[57],"simulations":[58],"are":[59],"carried":[60],"out":[61],"confirm":[63],"effectiveness":[65],"approach.":[68]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}