{"id":"https://openalex.org/W1994535585","doi":"https://doi.org/10.1142/s0218127410026538","title":"DIGITAL CONTROL AS SOURCE OF CHAOTIC BEHAVIOR","display_name":"DIGITAL CONTROL AS SOURCE OF CHAOTIC BEHAVIOR","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W1994535585","doi":"https://doi.org/10.1142/s0218127410026538","mag":"1994535585"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410026538","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410026538","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/A5028089696","display_name":"G\u00e1bor Csern\u00e1k","orcid":"https://orcid.org/0000-0001-9559-761X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00c1BOR CSERN\u00c1K","raw_affiliation_strings":["HAS-BUTE Research Group on Dynamics of Machines and Vehicles, H-1521 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HAS-BUTE Research Group on Dynamics of Machines and Vehicles, H-1521 Budapest, Hungary","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010080709","display_name":"G\u00e1bor St\u00e9p\u00e0n","orcid":"https://orcid.org/0000-0003-0309-2409"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00c1BOR ST\u00c9P\u00c1N","raw_affiliation_strings":["HAS-BUTE Research Group on Dynamics of Machines and Vehicles, H-1521 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HAS-BUTE Research Group on Dynamics of Machines and Vehicles, H-1521 Budapest, Hungary","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6929,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.70049343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"05","first_page":"1365","last_page":"1378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9969000220298767,"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":0.9969000220298767,"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":0.9740999937057495,"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":0.9664000272750854,"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/chaotic","display_name":"Chaotic","score":0.8271774649620056},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6167460083961487},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6020284295082092},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.597221851348877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5924715995788574},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5547621250152588},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.5260814428329468},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.5183199644088745},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.5046037435531616},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.46234264969825745},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.45463886857032776},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4248961806297302},{"id":"https://openalex.org/keywords/digital-control","display_name":"Digital control","score":0.41536426544189453},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3714086711406708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3079231381416321},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.20306381583213806},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1726835072040558},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1614060401916504},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.11101680994033813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09983208775520325},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08123144507408142}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8271774649620056},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6167460083961487},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6020284295082092},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.597221851348877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5924715995788574},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5547621250152588},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.5260814428329468},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.5183199644088745},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.5046037435531616},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.46234264969825745},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.45463886857032776},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4248961806297302},{"id":"https://openalex.org/C158411068","wikidata":"https://www.wikidata.org/wiki/Q2720568","display_name":"Digital control","level":2,"score":0.41536426544189453},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3714086711406708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3079231381416321},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.20306381583213806},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1726835072040558},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1614060401916504},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.11101680994033813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09983208775520325},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08123144507408142},{"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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":1,"locations":[{"id":"doi:10.1142/s0218127410026538","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410026538","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/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320326184","display_name":"Hungarian Science Foundation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W30615201","https://openalex.org/W421933266","https://openalex.org/W1496745782","https://openalex.org/W1969646281","https://openalex.org/W1976462414","https://openalex.org/W1979792338","https://openalex.org/W2001630749","https://openalex.org/W2011683478","https://openalex.org/W2016503647","https://openalex.org/W2019398782","https://openalex.org/W2048280869","https://openalex.org/W2049265628","https://openalex.org/W2063171334","https://openalex.org/W2076298511","https://openalex.org/W2082172869","https://openalex.org/W2112602754","https://openalex.org/W2596598149","https://openalex.org/W2799079725","https://openalex.org/W4230976146","https://openalex.org/W4243831169","https://openalex.org/W4255965261","https://openalex.org/W4294967943","https://openalex.org/W4300884679"],"related_works":["https://openalex.org/W2392447668","https://openalex.org/W1496745782","https://openalex.org/W1581278046","https://openalex.org/W2152993703","https://openalex.org/W2387089906","https://openalex.org/W2810202354","https://openalex.org/W4240432832","https://openalex.org/W2091409023","https://openalex.org/W2065261666","https://openalex.org/W2052017700"],"abstract_inverted_index":{"In":[0],"the":[1,13,47,51,53,57,60,63,73,82,88],"present":[2],"paper,":[3],"we":[4],"introduce":[5],"and":[6,56,85],"analyze":[7],"a":[8,17,44,69,78],"mechanical":[9],"system,":[10],"in":[11],"which":[12],"digital":[14,48],"implementation":[15],"of":[16,28,46,62,81],"linear":[18,71],"control":[19],"loop":[20],"may":[21],"lead":[22],"to":[23],"chaotic":[24],"behavior.":[25],"The":[26],"amplitude":[27],"such":[29],"oscillations":[30],"is":[31,36,90],"usually":[32],"very":[33],"small,":[34],"this":[35],"why":[37],"these":[38],"are":[39],"called":[40],"micro-chaotic":[41],"vibrations.":[42],"As":[43],"consequence":[45],"effects,":[49],"i.e.":[50],"sampling,":[52],"processing":[54],"delay":[55],"round-off":[58],"error,":[59],"behavior":[61],"system":[64],"can":[65],"be":[66],"described":[67],"by":[68],"piecewise":[70],"map,":[72],"micro-chaos":[74,83],"map.":[75],"We":[76],"examine":[77],"2D":[79],"version":[80],"map":[84,89],"prove":[86],"that":[87],"chaotic.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
