{"id":"https://openalex.org/W2042814236","doi":"https://doi.org/10.1142/s0218127409024517","title":"HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS","display_name":"HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2042814236","doi":"https://doi.org/10.1142/s0218127409024517","mag":"2042814236"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024517","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024517","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/A5028452828","display_name":"Z. E. Musielak","orcid":"https://orcid.org/0000-0003-1975-9298"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Z. E. MUSIELAK","raw_affiliation_strings":["Department of Physics, The University of Texas at Arlington, Arlington, TX 76019, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, The University of Texas at Arlington, Arlington, TX 76019, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074123865","display_name":"Dora Musielak","orcid":null},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. E. MUSIELAK","raw_affiliation_strings":["Department of Physics, The University of Texas at Arlington, Arlington, TX 76019, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, The University of Texas at Arlington, Arlington, TX 76019, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189196454"],"apc_list":null,"apc_paid":null,"fwci":1.4202,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.81953757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"09","first_page":"2823","last_page":"2869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7154699563980103},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6922706961631775},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.6857526302337646},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.6649132966995239},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6029678583145142},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6012972593307495},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5546431541442871},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5418999195098877},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.5197477340698242},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.492645800113678},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.45082801580429077},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.4203651249408722},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4162176847457886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4148613512516022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.331403911113739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3298332095146179},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2084861397743225},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.1763383448123932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13231196999549866},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1041383147239685},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06429311633110046}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7154699563980103},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6922706961631775},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.6857526302337646},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6649132966995239},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6029678583145142},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6012972593307495},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5546431541442871},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5418999195098877},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.5197477340698242},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.492645800113678},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.45082801580429077},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.4203651249408722},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4162176847457886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4148613512516022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.331403911113739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3298332095146179},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2084861397743225},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.1763383448123932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13231196999549866},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1041383147239685},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06429311633110046},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024517","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024517","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":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":249,"referenced_works":["https://openalex.org/W92074458","https://openalex.org/W148919764","https://openalex.org/W1483975156","https://openalex.org/W1493745406","https://openalex.org/W1582828056","https://openalex.org/W1584620101","https://openalex.org/W1836794400","https://openalex.org/W1964154886","https://openalex.org/W1965627917","https://openalex.org/W1965951580","https://openalex.org/W1966316755","https://openalex.org/W1967008192","https://openalex.org/W1967755877","https://openalex.org/W1968257261","https://openalex.org/W1968504140","https://openalex.org/W1969449149","https://openalex.org/W1970442252","https://openalex.org/W1970954629","https://openalex.org/W1971839327","https://openalex.org/W1972202794","https://openalex.org/W1972838276","https://openalex.org/W1974032260","https://openalex.org/W1974471824","https://openalex.org/W1975343600","https://openalex.org/W1975777401","https://openalex.org/W1976312932","https://openalex.org/W1976519394","https://openalex.org/W1976563619","https://openalex.org/W1977780766","https://openalex.org/W1977836531","https://openalex.org/W1978666948","https://openalex.org/W1978800858","https://openalex.org/W1981271798","https://openalex.org/W1981467999","https://openalex.org/W1983178759","https://openalex.org/W1984029601","https://openalex.org/W1984134695","https://openalex.org/W1985153874","https://openalex.org/W1985508528","https://openalex.org/W1986495649","https://openalex.org/W1987823598","https://openalex.org/W1988579387","https://openalex.org/W1989297873","https://openalex.org/W1989678960","https://openalex.org/W1990614122","https://openalex.org/W1991297476","https://openalex.org/W1991746188","https://openalex.org/W1994119458","https://openalex.org/W1994183984","https://openalex.org/W1995896811","https://openalex.org/W1996010484","https://openalex.org/W1996767607","https://openalex.org/W1997399108","https://openalex.org/W1998041910","https://openalex.org/W1998568108","https://openalex.org/W1998727969","https://openalex.org/W1999182244","https://openalex.org/W1999534682","https://openalex.org/W1999957416","https://openalex.org/W2001089773","https://openalex.org/W2001510177","https://openalex.org/W2002802482","https://openalex.org/W2005414790","https://openalex.org/W2006557790","https://openalex.org/W2006734637","https://openalex.org/W2007633277","https://openalex.org/W2007926156","https://openalex.org/W2010385540","https://openalex.org/W2010624833","https://openalex.org/W2010819970","https://openalex.org/W2011584763","https://openalex.org/W2011790351","https://openalex.org/W2012070680","https://openalex.org/W2012999549","https://openalex.org/W2014405133","https://openalex.org/W2014419488","https://openalex.org/W2015112229","https://openalex.org/W2015183050","https://openalex.org/W2015253289","https://openalex.org/W2016947345","https://openalex.org/W2017647225","https://openalex.org/W2018341541","https://openalex.org/W2018770902","https://openalex.org/W2019398782","https://openalex.org/W2020093369","https://openalex.org/W2021200242","https://openalex.org/W2021387797","https://openalex.org/W2021845014","https://openalex.org/W2022046481","https://openalex.org/W2024399619","https://openalex.org/W2024575511","https://openalex.org/W2025360812","https://openalex.org/W2026823472","https://openalex.org/W2026992517","https://openalex.org/W2027248557","https://openalex.org/W2027301790","https://openalex.org/W2027347130","https://openalex.org/W2027403325","https://openalex.org/W2028140013","https://openalex.org/W2028227052","https://openalex.org/W2028485581","https://openalex.org/W2028703166","https://openalex.org/W2029194063","https://openalex.org/W2029727681","https://openalex.org/W2029789588","https://openalex.org/W2030991498","https://openalex.org/W2031668778","https://openalex.org/W2032048833","https://openalex.org/W2032912963","https://openalex.org/W2033457832","https://openalex.org/W2034228870","https://openalex.org/W2034610099","https://openalex.org/W2036186221","https://openalex.org/W2036870441","https://openalex.org/W2037485789","https://openalex.org/W2038970958","https://openalex.org/W2039425457","https://openalex.org/W2039651834","https://openalex.org/W2040817788","https://openalex.org/W2040935283","https://openalex.org/W2041418059","https://openalex.org/W2042619282","https://openalex.org/W2042937336","https://openalex.org/W2044465000","https://openalex.org/W2044641455","https://openalex.org/W2045184052","https://openalex.org/W2046017935","https://openalex.org/W2046453766","https://openalex.org/W2049364796","https://openalex.org/W2049935622","https://openalex.org/W2051344494","https://openalex.org/W2053648621","https://openalex.org/W2053898169","https://openalex.org/W2053904299","https://openalex.org/W2056103297","https://openalex.org/W2056134058","https://openalex.org/W2058236317","https://openalex.org/W2059008059","https://openalex.org/W2059997098","https://openalex.org/W2060759080","https://openalex.org/W2062066165","https://openalex.org/W2063425586","https://openalex.org/W2063618362","https://openalex.org/W2065261666","https://openalex.org/W2065382523","https://openalex.org/W2065644906","https://openalex.org/W2067063419","https://openalex.org/W2067346737","https://openalex.org/W2068003521","https://openalex.org/W2068105393","https://openalex.org/W2068551947","https://openalex.org/W2068930790","https://openalex.org/W2069298134","https://openalex.org/W2069436097","https://openalex.org/W2070655649","https://openalex.org/W2071673800","https://openalex.org/W2072426572","https://openalex.org/W2074618998","https://openalex.org/W2074635561","https://openalex.org/W2074728235","https://openalex.org/W2074763732","https://openalex.org/W2075523193","https://openalex.org/W2075591840","https://openalex.org/W2076174416","https://openalex.org/W2077807153","https://openalex.org/W2078206416","https://openalex.org/W2078469300","https://openalex.org/W2079083673","https://openalex.org/W2079242989","https://openalex.org/W2079657487","https://openalex.org/W2079704452","https://openalex.org/W2080374921","https://openalex.org/W2080744209","https://openalex.org/W2080766157","https://openalex.org/W2080870633","https://openalex.org/W2081062437","https://openalex.org/W2081699156","https://openalex.org/W2081779814","https://openalex.org/W2081789734","https://openalex.org/W2081948264","https://openalex.org/W2083624180","https://openalex.org/W2084444252","https://openalex.org/W2087468419","https://openalex.org/W2088843828","https://openalex.org/W2089796622","https://openalex.org/W2089870130","https://openalex.org/W2090126590","https://openalex.org/W2090194301","https://openalex.org/W2090439465","https://openalex.org/W2092152122","https://openalex.org/W2092187455","https://openalex.org/W2092680287","https://openalex.org/W2093176940","https://openalex.org/W2093360411","https://openalex.org/W2094255955","https://openalex.org/W2094780448","https://openalex.org/W2095298340","https://openalex.org/W2097606872","https://openalex.org/W2097909706","https://openalex.org/W2100601536","https://openalex.org/W2100625516","https://openalex.org/W2102892532","https://openalex.org/W2105406131","https://openalex.org/W2106542610","https://openalex.org/W2108504478","https://openalex.org/W2114597423","https://openalex.org/W2114743305","https://openalex.org/W2125566231","https://openalex.org/W2126098770","https://openalex.org/W2127533144","https://openalex.org/W2128995499","https://openalex.org/W2132579586","https://openalex.org/W2133225357","https://openalex.org/W2135827536","https://openalex.org/W2138006145","https://openalex.org/W2139897817","https://openalex.org/W2141037210","https://openalex.org/W2141394518","https://openalex.org/W2147430407","https://openalex.org/W2152254020","https://openalex.org/W2154953502","https://openalex.org/W2155969015","https://openalex.org/W2157578898","https://openalex.org/W2160781574","https://openalex.org/W2161171568","https://openalex.org/W2162038234","https://openalex.org/W2163952908","https://openalex.org/W2165510765","https://openalex.org/W2168711358","https://openalex.org/W2170317389","https://openalex.org/W2171987742","https://openalex.org/W2279520815","https://openalex.org/W2293007794","https://openalex.org/W2303324995","https://openalex.org/W2329719292","https://openalex.org/W2405218308","https://openalex.org/W2489691424","https://openalex.org/W2583475601","https://openalex.org/W2798829480","https://openalex.org/W2926309618","https://openalex.org/W3099509334","https://openalex.org/W3104865783","https://openalex.org/W4212928962","https://openalex.org/W4234284487","https://openalex.org/W4235541105","https://openalex.org/W4237346874","https://openalex.org/W4251015067","https://openalex.org/W4252767973","https://openalex.org/W4256195314"],"related_works":["https://openalex.org/W2040978808","https://openalex.org/W2376576873","https://openalex.org/W2562509657","https://openalex.org/W2392447668","https://openalex.org/W1496745782","https://openalex.org/W1581278046","https://openalex.org/W2100751375","https://openalex.org/W2152993703","https://openalex.org/W2186586439","https://openalex.org/W2083376695"],"abstract_inverted_index":{"Studies":[0],"of":[1,8,14,25,32,43,49,55,63,71,93,121,126],"nonlinear":[2],"dynamical":[3,79,112,134],"systems":[4,16,26,80,113,135],"with":[5,22,27],"many":[6],"degrees":[7,31],"freedom":[9],"show":[10],"that":[11,81],"the":[12,23,47,61],"behavior":[13,24,48],"these":[15],"is":[17],"significantly":[18],"different":[19],"as":[20],"compared":[21],"less":[28],"than":[29],"two":[30],"freedom.":[33],"These":[34],"findings":[35],"motivated":[36],"us":[37],"to":[38,58],"carry":[39],"out":[40],"a":[41],"survey":[42],"research":[44],"focusing":[45],"on":[46,68],"high-dimensional":[50,83,97,122,133],"chaos,":[51,56,84],"which":[52],"include":[53],"onset":[54],"routes":[57],"chaos":[59,127],"and":[60,73,77,85,101,110,114,116,129],"persistence":[62],"chaos.":[64,123],"This":[65],"paper":[66],"reports":[67],"various":[69],"methods":[70],"generating":[72],"investigating":[74],"nonlinear,":[75],"dissipative":[76],"driven":[78],"exhibit":[82],"reviews":[86],"recent":[87],"results":[88],"in":[89],"this":[90],"new":[91],"field":[92],"research.":[94],"We":[95],"study":[96],"Lorenz,":[98],"Duffing,":[99],"R\u00f6ssler":[100],"Van":[102],"der":[103],"Pol":[104],"oscillators,":[105],"modified":[106],"canonical":[107],"Chua's":[108],"circuits,":[109],"other":[111],"maps,":[115],"we":[117],"formulate":[118],"general":[119],"rules":[120],"Basic":[124],"techniques":[125],"control":[128],"synchronization":[130],"developed":[131],"for":[132],"are":[136],"also":[137],"reviewed.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}