{"id":"https://openalex.org/W2085507034","doi":"https://doi.org/10.1142/s021812740902341x","title":"ANALYSIS AND MODELING OF AN EXPERIMENTAL DEVICE BY FINITE-TIME LYAPUNOV EXPONENT METHOD","display_name":"ANALYSIS AND MODELING OF AN EXPERIMENTAL DEVICE BY FINITE-TIME LYAPUNOV EXPONENT METHOD","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2085507034","doi":"https://doi.org/10.1142/s021812740902341x","mag":"2085507034"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740902341x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740902341x","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/A5007069209","display_name":"Naratip Santitissadeekorn","orcid":"https://orcid.org/0000-0001-5579-0458"},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. SANTITISSADEEKORN","raw_affiliation_strings":["Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA","Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA","institution_ids":["https://openalex.org/I16944753"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA#TAB#","institution_ids":["https://openalex.org/I16944753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041099676","display_name":"Douglas Bohl","orcid":"https://orcid.org/0000-0003-2786-1735"},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. BOHL","raw_affiliation_strings":["Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5815, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5815, USA","institution_ids":["https://openalex.org/I16944753"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003961936","display_name":"Erik M. Bollt","orcid":"https://orcid.org/0000-0001-7083-7592"},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. M. BOLLT","raw_affiliation_strings":["Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA","Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA","institution_ids":["https://openalex.org/I16944753"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699-5815, USA#TAB#","institution_ids":["https://openalex.org/I16944753"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16944753"],"apc_list":null,"apc_paid":null,"fwci":0.4734,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65831192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"03","first_page":"993","last_page":"1006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9995999932289124,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9995999932289124,"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":0.9936000108718872,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7778510451316833},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.6578181982040405},{"id":"https://openalex.org/keywords/particle-image-velocimetry","display_name":"Particle image velocimetry","score":0.5380328297615051},{"id":"https://openalex.org/keywords/chaotic-mixing","display_name":"Chaotic mixing","score":0.5290257930755615},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.48212122917175293},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4761883318424225},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.46403929591178894},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.41116076707839966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.402762770652771},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3711375594139099},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3657836318016052},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3448563814163208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2829923629760742},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.20301535725593567},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13408437371253967},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.12480375170707703}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7778510451316833},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.6578181982040405},{"id":"https://openalex.org/C207857233","wikidata":"https://www.wikidata.org/wiki/Q1756248","display_name":"Particle image velocimetry","level":3,"score":0.5380328297615051},{"id":"https://openalex.org/C131436191","wikidata":"https://www.wikidata.org/wiki/Q5072842","display_name":"Chaotic mixing","level":3,"score":0.5290257930755615},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.48212122917175293},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4761883318424225},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.46403929591178894},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.41116076707839966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.402762770652771},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3711375594139099},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3657836318016052},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3448563814163208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2829923629760742},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.20301535725593567},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13408437371253967},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.12480375170707703},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021812740902341x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740902341x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.409.1439","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.1439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.clarkson.edu/~ebollt/Papers/mixerproject-Santitissadeekorn.pdf","raw_type":"text"},{"id":"pmh:oai:epubs.surrey.ac.uk:838775","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/838775/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W334655588","https://openalex.org/W1967771367","https://openalex.org/W1975452069","https://openalex.org/W1976010724","https://openalex.org/W1992905571","https://openalex.org/W2018230687","https://openalex.org/W2038409881","https://openalex.org/W2048995400","https://openalex.org/W2084755618","https://openalex.org/W2088752227","https://openalex.org/W2127493405","https://openalex.org/W2143425534","https://openalex.org/W2148555825","https://openalex.org/W4247055850","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W1990104201","https://openalex.org/W2064936597","https://openalex.org/W2096467735","https://openalex.org/W2901468929","https://openalex.org/W2017034603","https://openalex.org/W2320418691","https://openalex.org/W4220964849","https://openalex.org/W1533615325","https://openalex.org/W1514197887","https://openalex.org/W2028818850"],"abstract_inverted_index":{"In":[0,64],"this":[1],"paper,":[2],"we":[3,145],"investigate":[4],"the":[5,11,18,34,46,55,58,65,68,71,75,84,88,93,99,101,131,135,139,142,154],"transport":[6],"and":[7,20],"mixing":[8,81,113,151,155,159],"process":[9],"of":[10,33,67,87,111,125,141,150,157],"batch":[12],"mixers":[13,35,127],"with":[14],"two":[15,62],"different":[16],"configurations,":[17],"centered-blade":[19],"offset-blade":[21],"mixers,":[22],"by":[23],"using":[24,37],"a":[25,78,115,120],"dynamical":[26,122],"system":[27,123],"approach.":[28],"The":[29,51],"2-D":[30],"velocity":[31],"fields":[32],"measured":[36],"Particle":[38],"Image":[39],"Velocimetry":[40],"(PIV)":[41],"are":[42],"used":[43],"to":[44,83,128,152],"identify":[45],"Lagrangian":[47],"coherent":[48],"structures":[49],"(LCSs).":[50],"results":[52],"show":[53],"that":[54],"LCSs":[56],"separate":[57],"physical":[59],"space":[60],"into":[61],"portions.":[63],"case":[66],"center-blade":[69],"mixer":[70],"portion":[72,85],"bounded":[73],"inside":[74],"LCS":[76,89,102],"experiences":[77],"relatively":[79],"slow":[80],"relative":[82],"outside":[86],"boundary.":[90],"However,":[91],"when":[92],"blade":[94,136],"position":[95],"is":[96],"located":[97],"near":[98],"wall,":[100],"becomes":[103],"more":[104],"complicated":[105],"but":[106],"it":[107],"still":[108],"separates":[109],"regions":[110],"fast":[112],"from":[114],"slower":[116],"one.":[117],"We":[118],"develop":[119],"heuristic":[121],"model":[124],"our":[126,158],"understand":[129],"how":[130],"vorticity":[132],"strength":[133],"at":[134],"tips":[137],"influences":[138],"variation":[140],"LCSs.":[143],"Finally,":[144],"define":[146],"an":[147],"appropriate":[148],"notion":[149],"study":[153],"rate":[156],"devices.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}