{"id":"https://openalex.org/W2018024543","doi":"https://doi.org/10.1143/jpsj.56.4210","title":"Lyapunov Spectrum of a Chaotic Model of Three-Dimensional Turbulence","display_name":"Lyapunov Spectrum of a Chaotic Model of Three-Dimensional Turbulence","publication_year":1987,"publication_date":"1987-12-15","ids":{"openalex":"https://openalex.org/W2018024543","doi":"https://doi.org/10.1143/jpsj.56.4210","mag":"2018024543"},"language":"en","primary_location":{"id":"doi:10.1143/jpsj.56.4210","doi":"https://doi.org/10.1143/jpsj.56.4210","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.56.4210","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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":null,"display_name":"Michio Yamada","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michio Yamada","raw_affiliation_strings":["Department of Physics, Faculty of Science, Kyoto University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Kyoto University","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086906675","display_name":"Koji Ohkitani","orcid":"https://orcid.org/0000-0001-7261-9724","observed_orcids":["https://orcid.org/0000-0001-7261-9724"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Ohkitani","raw_affiliation_strings":["Department of Physics, Faculty of Science, Kyoto University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Kyoto University","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":1.1795,"has_fulltext":false,"cited_by_count":221,"citation_normalized_percentile":{"value":0.77311455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"56","issue":"12","first_page":"4210","last_page":"4213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.913100004196167,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.913100004196167,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.04320000112056732,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.023399999365210533,"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/lyapunov-spectrum","display_name":"Lyapunov spectrum","score":0.9129999876022339},{"id":"https://openalex.org/keywords/three-dimensional-turbulence","display_name":"three-dimensional turbulence","score":0.8769999742507935},{"id":"https://openalex.org/keywords/fully-developed-turbulence","display_name":"fully developed turbulence","score":0.7570000290870667},{"id":"https://openalex.org/keywords/strange-attractors","display_name":"chaotic attractors","score":0.9649999737739563},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.9240000247955322},{"id":"https://openalex.org/keywords/inviscid-limit","display_name":"inviscid limit","score":0.8790000081062317},{"id":"https://openalex.org/keywords/viscosity-dependence","display_name":"viscosity dependence","score":0.4860000014305115}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.85682612657547},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7365732789039612},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.557535707950592},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.529444694519043},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.5254532098770142},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.5204489231109619},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5122936964035034},{"id":"https://openalex.org/C192872217","wikidata":"https://www.wikidata.org/wiki/Q720574","display_name":"R\u00f6ssler attractor","level":3,"score":0.4300921857357025},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4198579490184784},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.41892486810684204},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40656328201293945},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39180222153663635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32756558060646057},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2610793709754944},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12974098324775696},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09243085980415344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06354859471321106},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.06250551342964172},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1143/jpsj.56.4210","doi":"https://doi.org/10.1143/jpsj.56.4210","is_oa":false,"landing_page_url":"https://doi.org/10.1143/jpsj.56.4210","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1990238082","https://openalex.org/W1997471637","https://openalex.org/W1998727969","https://openalex.org/W2025889762","https://openalex.org/W2033750748","https://openalex.org/W2033986442","https://openalex.org/W2038054616","https://openalex.org/W2079389983","https://openalex.org/W3148918439","https://openalex.org/W3213267183"],"related_works":["https://openalex.org/W2064768422","https://openalex.org/W2026101752","https://openalex.org/W4394648420","https://openalex.org/W2039990111","https://openalex.org/W2048821377","https://openalex.org/W2043992710","https://openalex.org/W2971542969","https://openalex.org/W2164723755","https://openalex.org/W2054853992","https://openalex.org/W1648419796"],"abstract_inverted_index":{"A":[0],"model":[1],"equation":[2],"of":[3,22,36,48,57],"fully":[4],"developed":[5],"three-dimensional":[6],"turbulence":[7],"is":[8,26],"proposed":[9],"which":[10],"exhibits":[11],"the":[12,23,30,46,49,54,58,70],"Kolmogorov's":[13],"similarity":[14],"law":[15],"in":[16,45,69],"its":[17],"chaotic":[18,24],"state.":[19],"The":[20,38],"structure":[21],"attractor":[25],"investigated":[27],"by":[28],"examining":[29],"Lyapunov":[31,39,59,67],"spectrum":[32,40],"for":[33],"several":[34],"values":[35],"viscosity.":[37],"has":[41,61],"a":[42,62,65],"scaling":[43],"property":[44],"interior":[47],"attractor.":[50],"It":[51],"appears":[52],"that":[53],"distribution":[55],"function":[56],"exponents":[60],"singularity":[63],"at":[64],"null":[66],"exponent":[68],"inviscid":[71],"limit.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}