{"id":"https://openalex.org/W2093552932","doi":"https://doi.org/10.1109/apccas.2012.6419005","title":"An approach to all modes of nonlinear oscillations in three-phase circuits by computer algebra system","display_name":"An approach to all modes of nonlinear oscillations in three-phase circuits by computer algebra system","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2093552932","doi":"https://doi.org/10.1109/apccas.2012.6419005","mag":"2093552932"},"language":"en","primary_location":{"id":"doi:10.1109/apccas.2012.6419005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2012.6419005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Asia Pacific Conference on Circuits and Systems","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/A5112430992","display_name":"Kohshi Okumura","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Kohshi Okumura","raw_affiliation_strings":["The IRMACS Centre, Simon Fraser University, Burnaby, BC, Canada","[The IRMACS Centre, Simon Fraser University, Burnaby, British Columbia, Canada]"],"affiliations":[{"raw_affiliation_string":"The IRMACS Centre, Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"[The IRMACS Centre, Simon Fraser University, Burnaby, British Columbia, Canada]","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112430992"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14895231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"196","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10573","display_name":"Power Quality and Harmonics","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7058913111686707},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.6192234754562378},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5434399843215942},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5313127040863037},{"id":"https://openalex.org/keywords/inductor","display_name":"Inductor","score":0.5293399095535278},{"id":"https://openalex.org/keywords/nonlinear-resonance","display_name":"Nonlinear resonance","score":0.5192280411720276},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.5125143527984619},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5056226253509521},{"id":"https://openalex.org/keywords/subharmonic","display_name":"Subharmonic","score":0.44390198588371277},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4324905276298523},{"id":"https://openalex.org/keywords/resonance","display_name":"Resonance (particle physics)","score":0.419152170419693},{"id":"https://openalex.org/keywords/nonlinear-oscillations","display_name":"Nonlinear Oscillations","score":0.41353127360343933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40888261795043945},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4026210308074951},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3995906114578247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36291342973709106},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35385221242904663},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24431318044662476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22760143876075745},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.1528833508491516},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.0927572250366211},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07851755619049072}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7058913111686707},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6192234754562378},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5434399843215942},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5313127040863037},{"id":"https://openalex.org/C144534570","wikidata":"https://www.wikidata.org/wiki/Q5325","display_name":"Inductor","level":3,"score":0.5293399095535278},{"id":"https://openalex.org/C167020490","wikidata":"https://www.wikidata.org/wiki/Q3457902","display_name":"Nonlinear resonance","level":3,"score":0.5192280411720276},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.5125143527984619},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5056226253509521},{"id":"https://openalex.org/C193687819","wikidata":"https://www.wikidata.org/wiki/Q7631190","display_name":"Subharmonic","level":3,"score":0.44390198588371277},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4324905276298523},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.419152170419693},{"id":"https://openalex.org/C2779437913","wikidata":"https://www.wikidata.org/wiki/Q4316764","display_name":"Nonlinear Oscillations","level":3,"score":0.41353127360343933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40888261795043945},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4026210308074951},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3995906114578247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36291342973709106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35385221242904663},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24431318044662476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22760143876075745},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.1528833508491516},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0927572250366211},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07851755619049072},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/apccas.2012.6419005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2012.6419005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Asia Pacific Conference on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1532036648","https://openalex.org/W2026923707","https://openalex.org/W2030159818","https://openalex.org/W2032244184","https://openalex.org/W2039895411","https://openalex.org/W2106719661","https://openalex.org/W2109714706","https://openalex.org/W2526913831"],"related_works":["https://openalex.org/W2365420564","https://openalex.org/W1978776851","https://openalex.org/W1994931226","https://openalex.org/W2004603778","https://openalex.org/W2015925248","https://openalex.org/W2564594154","https://openalex.org/W2374126959","https://openalex.org/W2039857725","https://openalex.org/W2316854895","https://openalex.org/W2706414141"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"an":[3],"approach":[4],"to":[5,35],"all":[6],"modes":[7],"of":[8,38,45],"subharmonic":[9],"oscillation":[10],"in":[11],"nonlinear":[12,46],"three-phase":[13],"series":[14],"resonance":[15],"circuits.":[16],"Using":[17],"the":[18,24,36,42],"computer":[19],"algebra":[20],"system,":[21],"we":[22],"derive":[23],"fundamental":[25],"equations":[26],"which":[27],"become":[28],"either":[29],"autonomous":[30],"or":[31],"nonautonomous":[32],"system":[33],"owing":[34],"degree":[37],"polynomials":[39],"that":[40],"approximate":[41],"magnetic":[43],"characteristic":[44],"inductors.":[47]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
