{"id":"https://openalex.org/W2572914370","doi":"https://doi.org/10.1109/ispacs.2016.7824737","title":"Analysis of unstable periodic solution of nonlinear circuits using Haar wavelet transform","display_name":"Analysis of unstable periodic solution of nonlinear circuits using Haar wavelet transform","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2572914370","doi":"https://doi.org/10.1109/ispacs.2016.7824737","mag":"2572914370"},"language":"en","primary_location":{"id":"doi:10.1109/ispacs.2016.7824737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ispacs.2016.7824737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS)","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/A5010539613","display_name":"Takamatsu Kohei","orcid":"https://orcid.org/0000-0001-7889-5623"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kohei Takamatsu","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029451801","display_name":"Tatsuya Nakabayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tatsuya Nakabayashi","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011027312","display_name":"Seiichiro Moro","orcid":"https://orcid.org/0000-0003-2659-0531"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Seiichiro Moro","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of Fukui, Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010539613"],"corresponding_institution_ids":["https://openalex.org/I111966504"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.18658193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9700000286102295,"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/haar-wavelet","display_name":"Haar wavelet","score":0.6354303359985352},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5566556453704834},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5350298881530762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096242427825928},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48836204409599304},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4725094735622406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47017472982406616},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.3846766948699951},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32568055391311646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23664194345474243},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14162561297416687}],"concepts":[{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.6354303359985352},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5566556453704834},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5350298881530762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096242427825928},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48836204409599304},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4725094735622406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47017472982406616},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.3846766948699951},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32568055391311646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23664194345474243},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14162561297416687},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ispacs.2016.7824737","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ispacs.2016.7824737","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS)","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":10,"referenced_works":["https://openalex.org/W1438394186","https://openalex.org/W1829144648","https://openalex.org/W2022273550","https://openalex.org/W2033280333","https://openalex.org/W2072687047","https://openalex.org/W2075603995","https://openalex.org/W2165591847","https://openalex.org/W2171272789","https://openalex.org/W2171501825","https://openalex.org/W2296301975"],"related_works":["https://openalex.org/W183670115","https://openalex.org/W2175493893","https://openalex.org/W1501179639","https://openalex.org/W2922522935","https://openalex.org/W3199035354","https://openalex.org/W2085792030","https://openalex.org/W1563568571","https://openalex.org/W1807354010","https://openalex.org/W2377605153","https://openalex.org/W2366623948"],"abstract_inverted_index":{"It":[0],"has":[1],"been":[2],"reported":[3],"that":[4,121],"unstable":[5,23,41,103,127],"periodic":[6,24,42,104,128],"solution":[7,25,43,105],"of":[8,27,87,106],"a":[9,28,65,85],"dynamical":[10],"systems":[11],"make":[12],"the":[13,88,99,107],"chaos":[14],"control":[15],"easier.":[16],"But":[17],"it":[18,70,82,122],"is":[19,123],"difficult":[20],"to":[21,74,101,125],"find":[22,40,102,126],"because":[26],"few":[29],"numerical":[30,33],"errors":[31],"in":[32,36],"calculations.":[34],"Therefore,":[35],"this":[37,95],"study,":[38],"we":[39,97],"using":[44,64,111],"Haar":[45,48],"wavelet":[46,49],"transform.":[47],"can":[50,71,83],"be":[51,72],"easily":[52,61],"treated":[53],"and":[54,56,78,119],"differential":[55],"integral":[57],"operator":[58],"matrices":[59],"are":[60],"derived":[62],"by":[63],"block":[66],"pulse":[67],"function.":[68],"Therefore":[69],"adapted":[73],"time":[75],"variable":[76],"circuit":[77,110],"nonlinear":[79,109,116],"circuit.":[80],"Furthermore,":[81],"analyze":[84],"range":[86],"singular":[89],"point":[90],"neighborhood":[91],"more":[92],"precisely.":[93],"In":[94],"paper,":[96],"show":[98],"method":[100],"autonomous":[108],"an":[112],"oscillator":[113],"with":[114],"5th-power":[115],"order":[117],"characteristic":[118],"prove":[120],"possible":[124],"solution.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
