{"id":"https://openalex.org/W1976341728","doi":"https://doi.org/10.1142/s0218127412502975","title":"CHAOTIFICATION OF LINEAR IMPULSIVE DIFFERENTIAL SYSTEMS WITH APPLICATIONS","display_name":"CHAOTIFICATION OF LINEAR IMPULSIVE DIFFERENTIAL SYSTEMS WITH APPLICATIONS","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1976341728","doi":"https://doi.org/10.1142/s0218127412502975","mag":"1976341728"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502975","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502975","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/A5080858709","display_name":"Qigui Yang","orcid":"https://orcid.org/0000-0002-3623-4947"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"QIGUI YANG","raw_affiliation_strings":["School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong 510641, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong 510641, P. R. China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090269551","display_name":"Guirong Jiang","orcid":"https://orcid.org/0000-0002-5435-5187"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"GUIRONG JIANG","raw_affiliation_strings":["School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, P. R. China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039634984","display_name":"Tianshou Zhou","orcid":"https://orcid.org/0000-0002-0797-0531"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"TIANSHOU ZHOU","raw_affiliation_strings":["School of Mathematical and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080858709"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.2425,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.52407235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"12","first_page":"1250297","last_page":"1250297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9977999925613403,"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":0.9973000288009644,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6835275888442993},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6041964292526245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5498072504997253},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5327517986297607},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.523060142993927},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4685595631599426},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44006645679473877},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4315367043018341},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3987159729003906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38703787326812744},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1625836193561554},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11699995398521423},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10990002751350403},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09371909499168396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06627076864242554}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6835275888442993},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6041964292526245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5498072504997253},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5327517986297607},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.523060142993927},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4685595631599426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44006645679473877},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4315367043018341},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3987159729003906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38703787326812744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1625836193561554},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11699995398521423},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10990002751350403},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09371909499168396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06627076864242554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412502975","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502975","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W566859734","https://openalex.org/W580296679","https://openalex.org/W637047068","https://openalex.org/W1491698563","https://openalex.org/W1496745782","https://openalex.org/W1558736232","https://openalex.org/W1582952605","https://openalex.org/W1944192336","https://openalex.org/W1967418598","https://openalex.org/W1985039283","https://openalex.org/W1991882943","https://openalex.org/W2004875888","https://openalex.org/W2024026135","https://openalex.org/W2024306217","https://openalex.org/W2041466059","https://openalex.org/W2042083138","https://openalex.org/W2043634669","https://openalex.org/W2043802263","https://openalex.org/W2043992273","https://openalex.org/W2050240106","https://openalex.org/W2055660413","https://openalex.org/W2059759836","https://openalex.org/W2076906073","https://openalex.org/W2097938433","https://openalex.org/W2139153229","https://openalex.org/W2140755429","https://openalex.org/W2142887069","https://openalex.org/W2154619247","https://openalex.org/W2166393890","https://openalex.org/W2167975780","https://openalex.org/W2574026466","https://openalex.org/W4248796009","https://openalex.org/W4254773635","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2377513064","https://openalex.org/W2016990342","https://openalex.org/W2952544653","https://openalex.org/W2068691058","https://openalex.org/W2115021875"],"abstract_inverted_index":{"Chaotification":[0],"of":[1,12,39,51,104,114],"dynamical":[2,26],"systems":[3,27,56,78],"is":[4],"a":[5,47],"hot":[6],"topic":[7],"in":[8,14,97,116,133,147],"the":[9,98,105,112,118,130,148],"research":[10],"field":[11],"chaos":[13,115],"recent":[15],"years.":[16],"Previous":[17],"studies":[18],"showed":[19],"that":[20,57,79,139],"(even":[21],"linear)":[22],"discrete":[23,62],"or":[24],"continuous":[25],"can":[28,58,143],"be":[29,59],"chaotified":[30],"by":[31],"designing":[32],"appropriate":[33,88],"controllers.":[34],"Here,":[35],"we":[36,45,65,109],"study":[37],"chaotification":[38,50],"linear":[40,53,75],"impulsive":[41,54,76,90,120],"differential":[42,55,77],"systems.":[43,121],"First,":[44],"propose":[46],"framework":[48],"for":[49,69],"general":[52],"transformed":[60],"into":[61],"maps.":[63],"Then,":[64],"give":[66],"technical":[67],"details":[68],"how":[70,85,92],"to":[71,86,93,128],"chaotify":[72],"several":[73],"typical":[74],"are":[80,126,137],"actually":[81],"canonical":[82],"forms,":[83],"including":[84],"design":[87],"quadratic":[89],"controllers,":[91],"find":[94],"snapback":[95],"repellers":[96],"Marotto":[99],"theorem,":[100],"etc.":[101],"As":[102],"one":[103],"main":[106],"theoretical":[107,131],"results,":[108],"rigorously":[110],"prove":[111],"existence":[113],"all":[117],"considered":[119],"In":[122],"addition,":[123],"numerical":[124],"examples":[125],"used":[127],"verify":[129],"prediction":[132],"each":[134],"case.":[135],"We":[136],"expecting":[138],"our":[140],"proposed":[141],"approach":[142],"have":[144],"practical":[145],"applications":[146],"engineering":[149],"field.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
