{"id":"https://openalex.org/W2016482588","doi":"https://doi.org/10.1142/s021812740100322x","title":"OPTIMAL CONTROL OF CHAOTIC SYSTEMS","display_name":"OPTIMAL CONTROL OF CHAOTIC SYSTEMS","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2016482588","doi":"https://doi.org/10.1142/s021812740100322x","mag":"2016482588"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740100322x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740100322x","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/A5102002346","display_name":"Pawe\u0142 G\u00f3ra","orcid":"https://orcid.org/0000-0002-1577-8160"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"PAWE\u0141 G\u00d3RA","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108467785","display_name":"Abraham Boyarsky","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"ABRAHAM BOYARSKY","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11154776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"07","first_page":"2007","last_page":"2018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9962999820709229,"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":0.9962999820709229,"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":0.9952999949455261,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6970076560974121},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6937643885612488},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6455129981040955},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.599598228931427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5891749262809753},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.577280580997467},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5083596110343933},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5049298405647278},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4432174861431122},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.43701738119125366},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41431349515914917},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4120737612247467},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3635544180870056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29843688011169434},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.274448424577713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2627539038658142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13887619972229004},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1298806071281433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11100709438323975},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09905850887298584},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07457506656646729}],"concepts":[{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6970076560974121},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6937643885612488},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6455129981040955},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.599598228931427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5891749262809753},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.577280580997467},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5083596110343933},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5049298405647278},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4432174861431122},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.43701738119125366},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41431349515914917},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4120737612247467},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3635544180870056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29843688011169434},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.274448424577713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2627539038658142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13887619972229004},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1298806071281433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11100709438323975},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09905850887298584},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07457506656646729},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812740100322x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740100322x","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1971760258","https://openalex.org/W1990804430","https://openalex.org/W2033682634","https://openalex.org/W2059108416","https://openalex.org/W2067989167","https://openalex.org/W2080457649","https://openalex.org/W4240724489","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2068371111","https://openalex.org/W2353662484","https://openalex.org/W2379159072","https://openalex.org/W1967357715","https://openalex.org/W1915631177","https://openalex.org/W2362543848","https://openalex.org/W2367947269","https://openalex.org/W3127592998","https://openalex.org/W2371706510","https://openalex.org/W2355630958"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,34],"controlling":[3],"a":[4,10,40,45,54,68],"chaotic":[5],"system":[6],"is":[7,27,82],"treated":[8],"from":[9],"long":[11],"term":[12],"statistical":[13],"basis.":[14],"Unlike":[15],"the":[16,31,61],"OGY":[17],"targeting":[18,30],"method":[19],"that":[20],"exploits":[21],"individual":[22],"unstable":[23],"orbits,":[24],"this":[25],"approach":[26],"concerned":[28],"with":[29],"density":[32,46,57,80],"function":[33,47,81],"an":[35],"invariant":[36,78],"probability":[37,56,79],"measure.":[38],"Given":[39],"point":[41,69],"transformation":[42,70],"T,":[43,76],"possessing":[44],"f,":[48],"we":[49,66],"choose":[50],"[Formula:":[51,71,83,89],"see":[52,72,84,90],"text],":[53,73,85],"different":[55],"function,":[58],"to":[59,75,88],"be":[60],"target.":[62],"Using":[63],"optimization":[64],"methods,":[65],"construct":[67],"close":[74,87],"whose":[77],"or":[86],"text].":[91]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}