{"id":"https://openalex.org/W2111973539","doi":"https://doi.org/10.1109/ecctd.2011.6043331","title":"Numerical method for bifurcation analysis in an impact oscillator with fixed border","display_name":"Numerical method for bifurcation analysis in an impact oscillator with fixed border","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2111973539","doi":"https://doi.org/10.1109/ecctd.2011.6043331","mag":"2111973539"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2011.6043331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2011.6043331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-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/A5100987201","display_name":"Akiko Takahashi","orcid":null},"institutions":[{"id":"https://openalex.org/I188815454","display_name":"Oita University","ror":"https://ror.org/01nyv7k26","country_code":"JP","type":"education","lineage":["https://openalex.org/I188815454"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Akiko Takahashi","raw_affiliation_strings":["Department of Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","Department of Mechanical and Energy Systems Engineering, Oita University, 700 Dannoharu, Japan 870-1192"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","institution_ids":["https://openalex.org/I188815454"]},{"raw_affiliation_string":"Department of Mechanical and Energy Systems Engineering, Oita University, 700 Dannoharu, Japan 870-1192","institution_ids":["https://openalex.org/I188815454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088588845","display_name":"Kunichika Tsumoto","orcid":"https://orcid.org/0000-0001-7457-3125"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kunichika Tsumoto","raw_affiliation_strings":["Center for Advanced Medical Engineering and Informatics, Osaka University, Japan","The Center for Advanced Medical Engineering and Informatics, Osaka University, Japan"],"affiliations":[{"raw_affiliation_string":"Center for Advanced Medical Engineering and Informatics, Osaka University, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"The Center for Advanced Medical Engineering and Informatics, Osaka University, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038078845","display_name":"Kazuyuki Aihara","orcid":"https://orcid.org/0000-0002-4602-9816"},"institutions":[{"id":"https://openalex.org/I188815454","display_name":"Oita University","ror":"https://ror.org/01nyv7k26","country_code":"JP","type":"education","lineage":["https://openalex.org/I188815454"]},{"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 Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","Institute of Industrial Science, Tokyo University, 153-8505, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","institution_ids":["https://openalex.org/I188815454"]},{"raw_affiliation_string":"Institute of Industrial Science, Tokyo University, 153-8505, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003504281","display_name":"Takuji Kousaka","orcid":"https://orcid.org/0000-0002-6368-4089"},"institutions":[{"id":"https://openalex.org/I188815454","display_name":"Oita University","ror":"https://ror.org/01nyv7k26","country_code":"JP","type":"education","lineage":["https://openalex.org/I188815454"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuji Kousaka","raw_affiliation_strings":["Department of Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","Department of Mechanical and Energy Systems Engineering, Oita University, 700 Dannoharu, Japan 870-1192"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Energy Systems Engineering, Oita University, Oita, Japan","institution_ids":["https://openalex.org/I188815454"]},{"raw_affiliation_string":"Department of Mechanical and Energy Systems Engineering, Oita University, 700 Dannoharu, Japan 870-1192","institution_ids":["https://openalex.org/I188815454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100987201"],"corresponding_institution_ids":["https://openalex.org/I188815454"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16697322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":null,"first_page":"258","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9993000030517578,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9993000030517578,"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":0.9991000294685364,"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":0.9980000257492065,"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":0.7496184706687927},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.5338493585586548},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5134788155555725},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.49846768379211426},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4847550094127655},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.45814013481140137},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.45189714431762695},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.44038206338882446},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4305885434150696},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.42866966128349304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3960506021976471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37506940960884094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31457117199897766},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30223262310028076},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22684386372566223},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19846394658088684},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06261244416236877}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7496184706687927},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.5338493585586548},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5134788155555725},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.49846768379211426},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4847550094127655},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.45814013481140137},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.45189714431762695},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.44038206338882446},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4305885434150696},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.42866966128349304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3960506021976471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37506940960884094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31457117199897766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30223262310028076},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22684386372566223},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19846394658088684},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06261244416236877},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":1,"locations":[{"id":"doi:10.1109/ecctd.2011.6043331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2011.6043331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.44999998807907104,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1552277675","https://openalex.org/W2012069094","https://openalex.org/W2033592202","https://openalex.org/W2092454579","https://openalex.org/W2094734627","https://openalex.org/W2130668592","https://openalex.org/W2164653071"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W3113797113","https://openalex.org/W2356715721","https://openalex.org/W56905705","https://openalex.org/W2803928976","https://openalex.org/W2093031788","https://openalex.org/W3207962526","https://openalex.org/W4311619526","https://openalex.org/W3097933399","https://openalex.org/W4366139701"],"abstract_inverted_index":{"Impact":[0],"oscillators":[1],"appear":[2],"in":[3,32,45,58,79],"various":[4],"fields":[5],"such":[6],"as":[7],"nervous":[8],"system,":[9,11],"ecological":[10],"and":[12,87],"mechanical":[13],"system.":[14],"These":[15],"systems":[16],"have":[17],"a":[18,49,72,84],"characteristic":[19],"property":[20],"that":[21],"the":[22,33,55,59,76,80,89,93],"dynamics":[23],"discontinuously":[24],"behaves":[25],"due":[26],"to":[27,41,92],"jumps":[28],"at":[29],"hitting":[30],"borders":[31],"state":[34],"space.":[35],"In":[36],"general,":[37],"it":[38,64],"is":[39,52],"difficult":[40],"obtain":[42],"analytical":[43],"solutions":[44],"this":[46],"class.":[47],"Thus":[48],"numerical":[50,73],"method":[51,74,91],"indispensable":[53],"for":[54,75],"bifurcation":[56,77],"analysis":[57],"impact":[60,81],"oscillators;":[61],"however,":[62],"unfortunately,":[63],"has":[65],"not":[66],"been":[67],"established.":[68],"Therefore,":[69],"we":[70],"proposed":[71,90],"analyses":[78],"oscillator":[82],"with":[83],"fixed":[85],"border":[86],"applied":[88],"Rayleigh-type":[94],"oscillator.":[95]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
