{"id":"https://openalex.org/W2066959861","doi":"https://doi.org/10.1142/s0218127412300224","title":"BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS","display_name":"BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS","publication_year":2012,"publication_date":"2012-04-24","ids":{"openalex":"https://openalex.org/W2066959861","doi":"https://doi.org/10.1142/s0218127412300224","mag":"2066959861"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412300224","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300224","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/A5077189330","display_name":"Kyohei Kamiyama","orcid":null},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"KYOHEI KAMIYAMA","raw_affiliation_strings":["Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan","institution_ids":["https://openalex.org/I16656306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103708667","display_name":"Motomasa Komuro","orcid":"https://orcid.org/0009-0009-2304-590X"},"institutions":[{"id":"https://openalex.org/I144705627","display_name":"Teikyo University of Science","ror":"https://ror.org/025vmw012","country_code":"JP","type":"education","lineage":["https://openalex.org/I144705627"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"MOTOMASA KOMURO","raw_affiliation_strings":["Department of Occupational Therapy, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi, 409-0193, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Occupational Therapy, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi, 409-0193, Japan","institution_ids":["https://openalex.org/I144705627"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111950350","display_name":"Tetsuro Endo","orcid":null},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"TETSURO ENDO","raw_affiliation_strings":["Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan","institution_ids":["https://openalex.org/I16656306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2805,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.91314762,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"06","first_page":"1230022","last_page":"1230022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9998000264167786,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9973999857902527,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.8063344359397888},{"id":"https://openalex.org/keywords/quasi-periodic","display_name":"Quasi periodic","score":0.7318582534790039},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.638797402381897},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6346094608306885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5971466302871704},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.596823513507843},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.49399620294570923},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.49220243096351624},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4683862030506134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2344805896282196},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08198341727256775},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.060823142528533936}],"concepts":[{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.8063344359397888},{"id":"https://openalex.org/C3019213175","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasi periodic","level":2,"score":0.7318582534790039},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.638797402381897},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6346094608306885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5971466302871704},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.596823513507843},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.49399620294570923},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49220243096351624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4683862030506134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2344805896282196},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08198341727256775},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.060823142528533936},{"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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412300224","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300224","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":[{"id":"https://openalex.org/G1802803383","display_name":"Analysis of the behavior of MMOs under weak noise","funder_award_id":"24560556","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320325855","display_name":"Council for Science and Technology Policy","ror":null},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2004302728","https://openalex.org/W2096323752","https://openalex.org/W2096899223","https://openalex.org/W2103552464","https://openalex.org/W2103954969","https://openalex.org/W2122467996","https://openalex.org/W2126933998","https://openalex.org/W2141415100"],"related_works":["https://openalex.org/W2134948877","https://openalex.org/W1497574263","https://openalex.org/W2490089843","https://openalex.org/W2260136577","https://openalex.org/W3144804801","https://openalex.org/W2165291744","https://openalex.org/W2160732220","https://openalex.org/W1489071301","https://openalex.org/W2066959861","https://openalex.org/W2094802053"],"abstract_inverted_index":{"In":[0],"this":[1,69],"paper,":[2],"we":[3,50],"obtain":[4],"bifurcations":[5],"of":[6,68],"quasi-periodic":[7,27,47],"orbits":[8],"occuring":[9],"in":[10],"mutually":[11],"coupled":[12],"hard-type":[13],"oscillators":[14],"by":[15,61,91],"using":[16,62],"our":[17],"recently":[18],"developed":[19,51],"computer":[20,34],"algorithm":[21,35,54,71],"to":[22,36,55],"directly":[23],"determine":[24],"the":[25,63,75,92],"unstable":[26,38,57],"orbits.":[28,48],"So":[29],"far,":[30],"there":[31],"is":[32],"no":[33],"draw":[37,56],"invariant":[39,58],"closed":[40,59],"curves":[41,60],"on":[42],"a":[43,52],"Poincare":[44],"map":[45],"representing":[46],"Recently,":[49],"new":[53,70,82],"bisection":[64],"method.":[65,94],"The":[66],"results":[67,83],"are":[72,84],"compared":[73],"with":[74],"previously":[76],"obtained":[77],"averaging":[78,93],"method":[79],"results.":[80],"Several":[81],"found,":[85],"which":[86],"could":[87],"not":[88],"be":[89],"clarified":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"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"}
