{"id":"https://openalex.org/W2571798115","doi":"https://doi.org/10.1109/apccas.2016.7803942","title":"Rigorous analysis of Arnold tongues in a manifold piecewise-linear circuit","display_name":"Rigorous analysis of Arnold tongues in a manifold piecewise-linear circuit","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2571798115","doi":"https://doi.org/10.1109/apccas.2016.7803942","mag":"2571798115"},"language":"en","primary_location":{"id":"doi:10.1109/apccas.2016.7803942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2016.7803942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)","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/A5065603577","display_name":"Viet Duc Le","orcid":null},"institutions":[{"id":"https://openalex.org/I119806805","display_name":"Nagaoka University","ror":"https://ror.org/02rcadd38","country_code":"JP","type":"education","lineage":["https://openalex.org/I119806805"]},{"id":"https://openalex.org/I85922643","display_name":"Nagaoka University of Technology","ror":"https://ror.org/00ys1hz88","country_code":"JP","type":"education","lineage":["https://openalex.org/I85922643"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Viet Duc Le","raw_affiliation_strings":["Nagaoka University of Technology, Japan"],"affiliations":[{"raw_affiliation_string":"Nagaoka University of Technology, Japan","institution_ids":["https://openalex.org/I119806805","https://openalex.org/I85922643"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039141730","display_name":"Tadashi Tsubone","orcid":"https://orcid.org/0000-0001-7457-4232"},"institutions":[{"id":"https://openalex.org/I119806805","display_name":"Nagaoka University","ror":"https://ror.org/02rcadd38","country_code":"JP","type":"education","lineage":["https://openalex.org/I119806805"]},{"id":"https://openalex.org/I85922643","display_name":"Nagaoka University of Technology","ror":"https://ror.org/00ys1hz88","country_code":"JP","type":"education","lineage":["https://openalex.org/I85922643"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tadashi Tsubone","raw_affiliation_strings":["Nagaoka University of Technology, Japan"],"affiliations":[{"raw_affiliation_string":"Nagaoka University of Technology, Japan","institution_ids":["https://openalex.org/I119806805","https://openalex.org/I85922643"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006170990","display_name":"Naohiko Inaba","orcid":"https://orcid.org/0000-0003-1153-7025"},"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":"Naohiko Inaba","raw_affiliation_strings":["Meiji University, Japan"],"affiliations":[{"raw_affiliation_string":"Meiji University, Japan","institution_ids":["https://openalex.org/I16656306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065603577"],"corresponding_institution_ids":["https://openalex.org/I119806805","https://openalex.org/I85922643"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18430365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":null,"first_page":"236","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9965000152587891,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7371793985366821},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.6112446784973145},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6100780367851257},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5983257293701172},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5891079902648926},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.5387718081474304},{"id":"https://openalex.org/keywords/poincar\u00e9-conjecture","display_name":"Poincar\u00e9 conjecture","score":0.4899393916130066},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4686892330646515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4500489830970764},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.42330366373062134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4174695312976837},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40555816888809204},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29432985186576843},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07408741116523743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06429454684257507}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7371793985366821},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.6112446784973145},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6100780367851257},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5983257293701172},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5891079902648926},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5387718081474304},{"id":"https://openalex.org/C88221313","wikidata":"https://www.wikidata.org/wiki/Q203586","display_name":"Poincar\u00e9 conjecture","level":2,"score":0.4899393916130066},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4686892330646515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4500489830970764},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.42330366373062134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4174695312976837},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40555816888809204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29432985186576843},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07408741116523743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06429454684257507},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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:10.1109/apccas.2016.7803942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2016.7803942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6200000047683716,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2017421638","https://openalex.org/W2059475327","https://openalex.org/W2088124913","https://openalex.org/W2089357594","https://openalex.org/W2164157675","https://openalex.org/W2165675808","https://openalex.org/W2597158458","https://openalex.org/W7034161965"],"related_works":["https://openalex.org/W3152996675","https://openalex.org/W2117908751","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W1527005526","https://openalex.org/W1823423401","https://openalex.org/W3208509670","https://openalex.org/W1523589238"],"abstract_inverted_index":{"In":[0],"nonlinear":[1,79],"systems":[2],"which":[3],"exhibit":[4],"oscillation":[5],"phenomena,":[6],"it":[7],"is":[8,56],"well-known":[9],"that":[10],"phase-locked":[11],"regions":[12],"(also":[13],"called":[14],"as":[15,82],"Arnold":[16,28,85],"tongues)":[17],"are":[18,36],"often":[19],"observed.":[20],"However,":[21],"the":[22,67,72],"examples":[23],"of":[24,27,53],"theoretical":[25],"analysis":[26,76],"tongues":[29,86],"and":[30,60,74,87],"bifurcation":[31,88],"phenomena":[32,80],"in":[33,40],"autonomous":[34,46],"circuit":[35,55],"quite":[37],"rare.":[38],"Therefore,":[39],"this":[41,54],"paper,":[42],"we":[43,70],"propose":[44],"an":[45],"manifold":[47],"piecewise-linear":[48],"circuit.":[49],"The":[50],"Poincare":[51,68],"map":[52],"a":[57],"explicit":[58],"equation":[59],"thus":[61],"can":[62],"be":[63],"rigorously":[64],"derived.":[65],"Using":[66],"map,":[69],"consider":[71],"generation":[73],"rigorous":[75],"some":[77],"interesting":[78],"such":[81],"quasi-periodic":[83],"oscillation,":[84],"phenomena.":[89]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
