{"id":"https://openalex.org/W2038260357","doi":"https://doi.org/10.1142/s0218127403008703","title":"BIFURCATION STRUCTURES OF PERIOD-ADDING PHENOMENA IN AN OCEAN INTERNAL WAVE MODEL","display_name":"BIFURCATION STRUCTURES OF PERIOD-ADDING PHENOMENA IN AN OCEAN INTERNAL WAVE MODEL","publication_year":2003,"publication_date":"2003-11-01","ids":{"openalex":"https://openalex.org/W2038260357","doi":"https://doi.org/10.1142/s0218127403008703","mag":"2038260357"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403008703","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403008703","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/A5025420478","display_name":"Gouhei Tanaka","orcid":"https://orcid.org/0000-0002-6223-4406"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"GOUHEI TANAKA","raw_affiliation_strings":["Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047106719","display_name":"Sunao Murashige","orcid":"https://orcid.org/0000-0002-8393-9739"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"SUNAO MURASHIGE","raw_affiliation_strings":["Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038078845","display_name":"Kazuyuki Aihara","orcid":"https://orcid.org/0000-0002-4602-9816"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"KAZUYUKI AIHARA","raw_affiliation_strings":["Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Complexity Science and Engineering,  University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Complexity Science and Engineering, University of Tokyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.2462,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.63685034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"13","issue":"11","first_page":"3409","last_page":"3424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987999796867371,"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/T10244","display_name":"Chaos control and synchronization","score":0.9945999979972839,"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":0.9944999814033508,"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/bifurcation","display_name":"Bifurcation","score":0.7992293834686279},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6988064050674438},{"id":"https://openalex.org/keywords/internal-wave","display_name":"Internal wave","score":0.628790557384491},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4735107719898224},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.44186773896217346},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.4240574538707733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41679617762565613},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3756362497806549},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33565086126327515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3315882086753845},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.30008798837661743},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2668284773826599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20839518308639526},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06717076897621155}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7992293834686279},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6988064050674438},{"id":"https://openalex.org/C146864707","wikidata":"https://www.wikidata.org/wiki/Q382774","display_name":"Internal wave","level":2,"score":0.628790557384491},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4735107719898224},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.44186773896217346},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.4240574538707733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41679617762565613},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3756362497806549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33565086126327515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3315882086753845},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.30008798837661743},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2668284773826599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20839518308639526},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06717076897621155},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":1,"locations":[{"id":"doi:10.1142/s0218127403008703","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403008703","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":0.8700000047683716,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323533","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702"},{"id":"https://openalex.org/F4320324496","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W299818882","https://openalex.org/W1985437019","https://openalex.org/W1985940938","https://openalex.org/W1992068545","https://openalex.org/W1994700130","https://openalex.org/W1995992845","https://openalex.org/W1998203115","https://openalex.org/W2007099865","https://openalex.org/W2007511303","https://openalex.org/W2008568493","https://openalex.org/W2012624626","https://openalex.org/W2016083906","https://openalex.org/W2020397615","https://openalex.org/W2043723416","https://openalex.org/W2066116017","https://openalex.org/W2067902103","https://openalex.org/W2069721838","https://openalex.org/W2074807268","https://openalex.org/W2090073639","https://openalex.org/W2095280397","https://openalex.org/W2096899223","https://openalex.org/W2104426272","https://openalex.org/W2126899508","https://openalex.org/W2129592837","https://openalex.org/W2153073545","https://openalex.org/W2229755490","https://openalex.org/W3211806192","https://openalex.org/W4292880809"],"related_works":["https://openalex.org/W2099988406","https://openalex.org/W2060450020","https://openalex.org/W2014696479","https://openalex.org/W2095274406","https://openalex.org/W2077866168","https://openalex.org/W2271295025","https://openalex.org/W4321135758","https://openalex.org/W1898914577","https://openalex.org/W139684681","https://openalex.org/W1594209746"],"abstract_inverted_index":{"In":[0,52],"this":[1],"paper,":[2],"we":[3,61,113],"study":[4],"bifurcation":[5,54,63,124],"structures":[6],"of":[7,44,48,56,93,117,123],"period-adding":[8,87,107,131],"phenomena":[9,119,132],"in":[10,32,133,140],"an":[11],"internal":[12,22,34,50,58,135],"wave":[13,35,59,136],"model":[14,19,36,137],"that":[15,28,79,89],"is":[16,73,77,103],"a":[17,100,115],"mathematical":[18],"for":[20],"ocean":[21,49],"waves.":[23,51],"It":[24],"has":[25],"been":[26],"suggested":[27],"chaotic":[29,71,81],"solutions":[30,82,95],"observed":[31],"the":[33,41,45,57,80,86,106,118,121,134,141],"may":[37],"be":[38],"related":[39,84],"to":[40,65,85],"universal":[42],"property":[43],"energy":[46],"spectra":[47],"numerical":[53],"analyses":[55],"model,":[60],"illustrate":[62],"routes":[64],"chaos":[66],"and":[67,138],"parameter":[68,102],"regions":[69],"where":[70],"behavior":[72],"observed.":[74],"Furthermore,":[75],"it":[76],"found":[78],"are":[83],"sequence,":[88],"is,":[90],"successive":[91,110],"generations":[92],"periodic":[94],"with":[96],"longer":[97],"periods":[98],"as":[99,109],"control":[101],"changed.":[104],"Considering":[105],"sequence":[108],"local":[111],"bifurcations,":[112],"discuss":[114],"mechanism":[116],"from":[120],"viewpoint":[122],"analysis.":[125],"We":[126],"also":[127],"consider":[128],"similarity":[129],"between":[130],"ones":[139],"Lorenz":[142],"model.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"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"}