{"id":"https://openalex.org/W2071333933","doi":"https://doi.org/10.1142/s0218127412501234","title":"BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS \u2014 BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION","display_name":"BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS \u2014 BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION","publication_year":2012,"publication_date":"2012-03-29","ids":{"openalex":"https://openalex.org/W2071333933","doi":"https://doi.org/10.1142/s0218127412501234","mag":"2071333933"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412501234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501234","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 Bioinfomatics, 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 Bioinfomatics, 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 Bioinfomatics, 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 Bioinfomatics, 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":2.1784,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88354849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"05","first_page":"1250123","last_page":"1250123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9947999715805054,"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":0.9922000169754028,"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/bistability","display_name":"Bistability","score":0.8424075841903687},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.8176003694534302},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7429201602935791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5769691467285156},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5518621802330017},{"id":"https://openalex.org/keywords/standing-wave","display_name":"Standing wave","score":0.5305545330047607},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.49322837591171265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46528592705726624},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.44578492641448975},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4410567283630371},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.41548794507980347},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4075014889240265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3657796382904053},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.184697687625885},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10501044988632202},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0942642092704773},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06041201949119568}],"concepts":[{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.8424075841903687},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.8176003694534302},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7429201602935791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5769691467285156},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5518621802330017},{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.5305545330047607},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.49322837591171265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46528592705726624},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.44578492641448975},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4410567283630371},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.41548794507980347},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4075014889240265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3657796382904053},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.184697687625885},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10501044988632202},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0942642092704773},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06041201949119568},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412501234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501234","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/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":6,"referenced_works":["https://openalex.org/W1964872914","https://openalex.org/W1993693726","https://openalex.org/W2064148786","https://openalex.org/W2089876099","https://openalex.org/W2126956080","https://openalex.org/W4230800201"],"related_works":["https://openalex.org/W2049615654","https://openalex.org/W2267377916","https://openalex.org/W2095803285","https://openalex.org/W2025138898","https://openalex.org/W2923981205","https://openalex.org/W1982778171","https://openalex.org/W2775656422","https://openalex.org/W2054075447","https://openalex.org/W2312845532","https://openalex.org/W2028337061"],"abstract_inverted_index":{"In":[0],"this":[1,68],"paper,":[2],"we":[3],"analyze":[4],"the":[5,43,46,54,57,63],"bifurcation":[6,76],"of":[7,15,56,67,77],"Type":[8],"2":[9],"periodic":[10,33],"solution":[11,36,41,70],"in":[12],"a":[13,30,74,78],"ring":[14],"six-coupled":[16],"bistable":[17],"oscillators.":[18],"We":[19,51],"show":[20],"that":[21,62],"pitchfork":[22,75],"and":[23,60,65],"heteroclinic":[24],"bifurcations,":[25],"which":[26],"induce":[27],"chaos,":[28],"cause":[29],"change":[31],"from":[32],"(standing":[34],"wave)":[35,40],"to":[37,73],"quasi-periodic":[38,79],"(propagating":[39],"or":[42],"inverse":[44],"when":[45],"coupling":[47],"strength":[48],"is":[49],"varied.":[50],"also":[52],"explain":[53],"existence":[55],"switching":[58,69],"solution,":[59],"presume":[61],"birth":[64],"death":[66],"are":[71],"due":[72],"solution.":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}