{"id":"https://openalex.org/W2069450362","doi":"https://doi.org/10.1155/2012/325131","title":"Synchronization of Two Rank\u2010One Chaotic Systems without and with Delay via Linear Delayed Feedback Control","display_name":"Synchronization of Two Rank\u2010One Chaotic Systems without and with Delay via Linear Delayed Feedback Control","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2069450362","doi":"https://doi.org/10.1155/2012/325131","mag":"2069450362"},"language":"en","primary_location":{"id":"doi:10.1155/2012/325131","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/325131","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/325131.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","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/jam/2012/325131.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074042402","display_name":"Hui Fang","orcid":"https://orcid.org/0000-0003-0040-6935"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hui Fang","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093, China","Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093, China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093","institution_ids":["https://openalex.org/I10660446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074042402"],"corresponding_institution_ids":["https://openalex.org/I10660446"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.9701,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7547634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2012","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":0.9997000098228455,"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":0.9997000098228455,"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":0.9947999715805054,"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":0.9868999719619751,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7799720764160156},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6963468194007874},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.6842566132545471},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6664910316467285},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6435334086418152},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6245867013931274},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5038780570030212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49713829159736633},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4429951012134552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4350164830684662},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.4146229326725006},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3382641077041626},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2119402289390564},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04743906855583191}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7799720764160156},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6963468194007874},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6842566132545471},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6664910316467285},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6435334086418152},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6245867013931274},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5038780570030212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49713829159736633},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4429951012134552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4350164830684662},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.4146229326725006},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3382641077041626},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2119402289390564},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04743906855583191},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/325131","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/325131","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/325131.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495080","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495080","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:325131","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/325131.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:b4021afa11b14f2da4476a08f274e265","is_oa":true,"landing_page_url":"https://doaj.org/article/b4021afa11b14f2da4476a08f274e265","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":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/325131","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/325131","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/325131.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","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/G4949966004","display_name":null,"funder_award_id":"10971085","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/G7627121670","display_name":null,"funder_award_id":"11061016","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/W2069450362.pdf","grobid_xml":"https://content.openalex.org/works/W2069450362.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1528904753","https://openalex.org/W1970442252","https://openalex.org/W1978394909","https://openalex.org/W1979929562","https://openalex.org/W1984861453","https://openalex.org/W1994943882","https://openalex.org/W1996519734","https://openalex.org/W1998165952","https://openalex.org/W2003890998","https://openalex.org/W2012566371","https://openalex.org/W2017744578","https://openalex.org/W2021152555","https://openalex.org/W2027949855","https://openalex.org/W2041860387","https://openalex.org/W2054359381","https://openalex.org/W2055159337","https://openalex.org/W2056798482","https://openalex.org/W2061160939","https://openalex.org/W2073070605","https://openalex.org/W2078231097","https://openalex.org/W2081827062","https://openalex.org/W2106591639","https://openalex.org/W2122093158","https://openalex.org/W2130052476","https://openalex.org/W2170105115","https://openalex.org/W3103697002","https://openalex.org/W4238723093"],"related_works":["https://openalex.org/W1581278046","https://openalex.org/W2052017700","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2167530057","https://openalex.org/W2365276084","https://openalex.org/W2059069173","https://openalex.org/W2065261666","https://openalex.org/W2382755812","https://openalex.org/W2109091348"],"abstract_inverted_index":{"This":[0],"paper":[1],"illustrates":[2],"the":[3,52,55],"presence":[4],"of":[5,37,54],"chaos":[6,57],"in":[7],"rank\u2010one":[8,26],"chaotic":[9,27],"systems":[10,28],"with":[11,31],"delay":[12,32],"via":[13],"a":[14],"binary":[15],"test":[16],"(called":[17],"0\u20101":[18],"test)":[19],"for":[20],"chaos.":[21],"Chaotic":[22],"synchronization":[23,58],"between":[24],"two":[25],"without":[29],"and":[30,40],"is":[33],"achieved":[34],"by":[35],"means":[36],"Lyapunov":[38],"functional":[39],"linear":[41],"delayed":[42],"feedback":[43],"control":[44],"method.":[45],"Numerical":[46],"simulations":[47],"are":[48],"implemented":[49],"to":[50],"verify":[51],"effectiveness":[53],"proposed":[56],"scheme.":[59]},"counts_by_year":[{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2016-06-24T00:00:00"}