{"id":"https://openalex.org/W2125248979","doi":"https://doi.org/10.1007/s10100-007-0032-0","title":"Using invariants to determine change detection in dynamical system with chaos","display_name":"Using invariants to determine change detection in dynamical system with chaos","publication_year":2007,"publication_date":"2007-09-10","ids":{"openalex":"https://openalex.org/W2125248979","doi":"https://doi.org/10.1007/s10100-007-0032-0","mag":"2125248979"},"language":"en","primary_location":{"id":"doi:10.1007/s10100-007-0032-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10100-007-0032-0","pdf_url":null,"source":{"id":"https://openalex.org/S161053114","display_name":"Central European Journal of Operations Research","issn_l":"1435-246X","issn":["1435-246X","1613-9178"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Central European Journal of Operations Research","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/A5090652533","display_name":"Mateusz Tykierko","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Mateusz Tykierko","raw_affiliation_strings":["Institute of Computer Engineering, Control and Robotics, Wroclaw University of Technology, ul. Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland","Wroc\u0142aw University of Technology,"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Engineering, Control and Robotics, Wroclaw University of Technology, ul. Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland","institution_ids":["https://openalex.org/I11923345"]},{"raw_affiliation_string":"Wroc\u0142aw University of Technology,","institution_ids":["https://openalex.org/I11923345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090652533"],"corresponding_institution_ids":["https://openalex.org/I11923345"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0388,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88129018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"223","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9908000230789185,"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/T10320","display_name":"Neural Networks and Applications","score":0.945900022983551,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.7540304660797119},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6593627333641052},{"id":"https://openalex.org/keywords/change-detection","display_name":"Change detection","score":0.6474719643592834},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6253576874732971},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.6123404502868652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6072267889976501},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.5997076630592346},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5839197039604187},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5654159188270569},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.535423219203949},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5325093865394592},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5265184640884399},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.49103641510009766},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4873958230018616},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4249418377876282},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4170757830142975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35474342107772827},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30999937653541565},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2682199478149414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23005151748657227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13957345485687256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12867379188537598}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7540304660797119},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6593627333641052},{"id":"https://openalex.org/C203595873","wikidata":"https://www.wikidata.org/wiki/Q25389927","display_name":"Change detection","level":2,"score":0.6474719643592834},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6253576874732971},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.6123404502868652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6072267889976501},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5997076630592346},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5839197039604187},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5654159188270569},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.535423219203949},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5325093865394592},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5265184640884399},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.49103641510009766},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4873958230018616},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4249418377876282},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4170757830142975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35474342107772827},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30999937653541565},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2682199478149414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23005151748657227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13957345485687256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12867379188537598},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10100-007-0032-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10100-007-0032-0","pdf_url":null,"source":{"id":"https://openalex.org/S161053114","display_name":"Central European Journal of Operations Research","issn_l":"1435-246X","issn":["1435-246X","1613-9178"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Central European Journal of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:cejnor:v:15:y:2007:i:3:p:223-233","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10100-007-0032-0","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W176544161","https://openalex.org/W658484547","https://openalex.org/W988335224","https://openalex.org/W1549386224","https://openalex.org/W1606919204","https://openalex.org/W1979957032","https://openalex.org/W1982237443","https://openalex.org/W1983637487","https://openalex.org/W1988300964","https://openalex.org/W1990455509","https://openalex.org/W1999524646","https://openalex.org/W2031365860","https://openalex.org/W2033120570","https://openalex.org/W2040704490","https://openalex.org/W2064379477","https://openalex.org/W2074604001","https://openalex.org/W2085673846","https://openalex.org/W2096523567","https://openalex.org/W2139058364","https://openalex.org/W2157202423","https://openalex.org/W2162646180","https://openalex.org/W2169411417","https://openalex.org/W4239340087","https://openalex.org/W4302420972"],"related_works":["https://openalex.org/W1541871911","https://openalex.org/W4238935091","https://openalex.org/W2230606337","https://openalex.org/W4250831671","https://openalex.org/W4389261445","https://openalex.org/W2738494313","https://openalex.org/W2592826714","https://openalex.org/W4390075452","https://openalex.org/W2931186781","https://openalex.org/W2090738527"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
