{"id":"https://openalex.org/W2057349665","doi":"https://doi.org/10.1142/s0218127402005029","title":"IMPULSIVE CONTROL OF CHAOTIC SYSTEM","display_name":"IMPULSIVE CONTROL OF CHAOTIC SYSTEM","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2057349665","doi":"https://doi.org/10.1142/s0218127402005029","mag":"2057349665"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127402005029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005029","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5030849815","display_name":"Xinzhi Liu","orcid":"https://orcid.org/0000-0003-3572-2807"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"XINZHI LIU","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Canada","Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario Canada, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario Canada, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010897184","display_name":"Kok Lay Teo","orcid":"https://orcid.org/0000-0002-5903-7698"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"KOK LAY TEO","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030849815"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":1.6098,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.8460798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"05","first_page":"1181","last_page":"1190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987000226974487,"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":0.9987000226974487,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9941999912261963,"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/control-theory","display_name":"Control theory (sociology)","score":0.784372091293335},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.7196803689002991},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6427482962608337},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6295887231826782},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6074751019477844},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5572028160095215},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5371267199516296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4798795282840729},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.47847482562065125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4525248408317566},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4454517960548401},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16724973917007446},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.13144269585609436},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08112308382987976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07896268367767334},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07545831799507141}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.784372091293335},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.7196803689002991},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6427482962608337},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6295887231826782},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6074751019477844},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5572028160095215},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5371267199516296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4798795282840729},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.47847482562065125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4525248408317566},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4454517960548401},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16724973917007446},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.13144269585609436},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08112308382987976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07896268367767334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07545831799507141},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127402005029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005029","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/29279","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/29279","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1481166503","https://openalex.org/W1512165357","https://openalex.org/W1978241724","https://openalex.org/W1978615278","https://openalex.org/W1993971257","https://openalex.org/W2012073214","https://openalex.org/W2018609365","https://openalex.org/W2026786840","https://openalex.org/W2029208083","https://openalex.org/W2050240106","https://openalex.org/W2074230113","https://openalex.org/W2086038404","https://openalex.org/W2087976613","https://openalex.org/W2103284380","https://openalex.org/W2104582163","https://openalex.org/W2293381390","https://openalex.org/W4232044711"],"related_works":["https://openalex.org/W3048874476","https://openalex.org/W2372129196","https://openalex.org/W2376048186","https://openalex.org/W1890102852","https://openalex.org/W4383955238","https://openalex.org/W4386858665","https://openalex.org/W2149205801","https://openalex.org/W2573730770","https://openalex.org/W2371307312","https://openalex.org/W2390700585"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"an":[3,50],"impulsive":[4,17,37],"control":[5],"problem.":[6],"By":[7],"utilizing":[8],"the":[9,28,41,44],"method":[10],"of":[11,16,43],"Lyapunov":[12],"functions,":[13],"a":[14],"set":[15],"stabilization":[18],"criteria":[19],"are":[20,24],"established.":[21],"These":[22],"results":[23],"then":[25],"applied":[26],"to":[27,49],"Lorenz":[29,45],"system.":[30],"It":[31],"is":[32],"shown":[33],"that":[34],"by":[35],"using":[36],"feedback":[38],"control,":[39],"all":[40],"solutions":[42],"system":[46],"will":[47],"converge":[48],"equilibrium":[51],"point.":[52]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2025-10-10T00:00:00"}