{"id":"https://openalex.org/W3054934337","doi":"https://doi.org/10.1155/2020/6590502","title":"Predefined-Time Modified Function Projective Synchronization for Multiscroll Chaotic Systems via Sliding Mode Control Technology","display_name":"Predefined-Time Modified Function Projective Synchronization for Multiscroll Chaotic Systems via Sliding Mode Control Technology","publication_year":2020,"publication_date":"2020-08-19","ids":{"openalex":"https://openalex.org/W3054934337","doi":"https://doi.org/10.1155/2020/6590502","mag":"3054934337"},"language":"en","primary_location":{"id":"doi:10.1155/2020/6590502","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/6590502","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6590502.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/2020/6590502.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039952647","display_name":"Qiaoping Li","orcid":"https://orcid.org/0000-0002-8658-6860"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiaoping Li","raw_affiliation_strings":["School of Economics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China","School of Mathematics and Statistics, Xidian University, Xi\u2019an 710071, China","School of Mathematics and Statistics, Xidian University, Xi'an 710071, China"],"affiliations":[{"raw_affiliation_string":"School of Economics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China","institution_ids":["https://openalex.org/I192868223"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074768601","display_name":"Chao Yue","orcid":"https://orcid.org/0000-0002-7485-2316"},"institutions":[{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Yue","raw_affiliation_strings":["School of Economics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China"],"affiliations":[{"raw_affiliation_string":"School of Economics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China","institution_ids":["https://openalex.org/I192868223"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039952647"],"corresponding_institution_ids":["https://openalex.org/I149594827","https://openalex.org/I192868223"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.4661,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81891318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9983999729156494,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.712884783744812},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7048379182815552},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6570881605148315},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6206595301628113},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5909913182258606},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5773413181304932},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.523554265499115},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5229057669639587},{"id":"https://openalex.org/keywords/colpitts-oscillator","display_name":"Colpitts oscillator","score":0.46851611137390137},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4328826367855072},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4273204207420349},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28020110726356506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14549660682678223},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12001696228981018},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.10294488072395325},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08171007037162781},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06263929605484009}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.712884783744812},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7048379182815552},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6570881605148315},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6206595301628113},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5909913182258606},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5773413181304932},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.523554265499115},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5229057669639587},{"id":"https://openalex.org/C146847952","wikidata":"https://www.wikidata.org/wiki/Q933121","display_name":"Colpitts oscillator","level":5,"score":0.46851611137390137},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4328826367855072},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4273204207420349},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28020110726356506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14549660682678223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12001696228981018},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.10294488072395325},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08171007037162781},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06263929605484009},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C111657199","wikidata":"https://www.wikidata.org/wiki/Q2300256","display_name":"Vack\u00e1\u0159 oscillator","level":4,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"score":0.0},{"id":"https://openalex.org/C203597036","wikidata":"https://www.wikidata.org/wiki/Q1238887","display_name":"Local oscillator","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/6590502","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/6590502","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6590502.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:6590502","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/6590502.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:cab98493894d4a4cbd7ad014f4318c57","is_oa":true,"landing_page_url":"https://doaj.org/article/cab98493894d4a4cbd7ad014f4318c57","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 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/6590502","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6590502","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/6590502","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/6590502","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6590502.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/G1953846971","display_name":null,"funder_award_id":"19B110006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G3828269346","display_name":null,"funder_award_id":"11702201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4804722217","display_name":null,"funder_award_id":"20A110034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4939259636","display_name":null,"funder_award_id":"61877046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5760752404","display_name":null,"funder_award_id":"Projects","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/G8208342437","display_name":null,"funder_award_id":"1 and","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3054934337.pdf","grobid_xml":"https://content.openalex.org/works/W3054934337.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W17298693","https://openalex.org/W1984489048","https://openalex.org/W1987513240","https://openalex.org/W1988837728","https://openalex.org/W2015113370","https://openalex.org/W2026980824","https://openalex.org/W2053724379","https://openalex.org/W2064221394","https://openalex.org/W2079109924","https://openalex.org/W2208321724","https://openalex.org/W2244754571","https://openalex.org/W2345145584","https://openalex.org/W2524687611","https://openalex.org/W2609122333","https://openalex.org/W2738417046","https://openalex.org/W2745252528","https://openalex.org/W2783154427","https://openalex.org/W2790841337","https://openalex.org/W2801528349","https://openalex.org/W2908888566","https://openalex.org/W2913330271","https://openalex.org/W2923201279","https://openalex.org/W2945741920","https://openalex.org/W2958095243","https://openalex.org/W2963913385","https://openalex.org/W2980350017"],"related_works":["https://openalex.org/W2349593397","https://openalex.org/W2025147429","https://openalex.org/W1974733181","https://openalex.org/W3100222137","https://openalex.org/W89505777","https://openalex.org/W2184279520","https://openalex.org/W2379913324","https://openalex.org/W4387463337","https://openalex.org/W2352168067","https://openalex.org/W2014882088"],"abstract_inverted_index":{"In":[0],"the":[1,10,18,25,40,61,68,85,93,105,108,112,119],"context":[2],"of":[3,107,121],"chaotic":[4],"secure":[5],"communication":[6],"and":[7,39,90],"based":[8],"on":[9,92],"sliding":[11,55,69,94],"mode":[12,56,95],"control":[13],"technology,":[14],"this":[15],"article":[16],"investigates":[17],"predefined-time":[19,41,49,109],"modified":[20],"function":[21],"projective":[22],"synchronization":[23,42,62],"for":[24,60],"Colpitts":[26],"oscillator":[27],"multiscroll":[28,34],"hyperchaotic":[29,35],"systems.":[30],"Firstly,":[31],"a":[32,47,74],"four-dimensional":[33],"system":[36,64,87],"is":[37,43,58,71,81],"introduced":[38],"defined.":[44],"Subsequently,":[45],"applying":[46],"novel":[48],"stability":[50],"criterion,":[51],"an":[52,78],"integral":[53],"terminal":[54],"surface":[57,96],"constructed":[59],"error":[63,86],"to":[65,83,88,103,117],"ensure":[66,104],"that":[67],"motion":[70],"stable":[72],"within":[73,97],"predefined":[75,99],"time;":[76],"meanwhile,":[77],"approaching":[79],"controller":[80],"designed":[82],"enable":[84],"reach":[89],"remain":[91],"another":[98],"time,":[100],"so":[101],"as":[102],"realization":[106],"synchronization.":[110],"Finally,":[111],"simulation":[113],"experiments":[114],"are":[115],"presented":[116],"verify":[118],"effectiveness":[120],"derived":[122],"theoretical":[123],"results.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}