{"id":"https://openalex.org/W2134871358","doi":"https://doi.org/10.1142/s0218127405014015","title":"TRANSITION FROM PERIODICITY TO CHAOS IN A PWM-CONTROLLED BUCK CONVERTER WITH ZAD STRATEGY","display_name":"TRANSITION FROM PERIODICITY TO CHAOS IN A PWM-CONTROLLED BUCK CONVERTER WITH ZAD STRATEGY","publication_year":2005,"publication_date":"2005-10-01","ids":{"openalex":"https://openalex.org/W2134871358","doi":"https://doi.org/10.1142/s0218127405014015","mag":"2134871358"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405014015","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014015","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/4031","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050345076","display_name":"Fabiola Angulo","orcid":"https://orcid.org/0000-0002-4669-7777"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"FABIOLA ANGULO","raw_affiliation_strings":["Universidad Nacional de Colombia, Cra 27 No. 64-60, Manizales, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Nacional de Colombia, Cra 27 No. 64-60, Manizales, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090409010","display_name":"Enric Fossas","orcid":"https://orcid.org/0000-0002-3589-6092"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"ENRIC FOSSAS","raw_affiliation_strings":["Technical University of Catalonia, Advanced Control of Energy Systems, Institute of Industrial and Control Engineering, Avda. Diagonal 647, pl 11, 08027 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Catalonia, Advanced Control of Energy Systems, Institute of Industrial and Control Engineering, Avda. Diagonal 647, pl 11, 08027 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062211228","display_name":"Gerard Olivar","orcid":"https://orcid.org/0000-0003-1862-4842"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"GERARD OLIVAR","raw_affiliation_strings":["Technical University of Catalonia, Advanced Control of Energy Systems, EPSEVG and FME Avda. Victor Balaguer, s/n, 08800 Vilanova i la Geltr\u00fa, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Catalonia, Advanced Control of Energy Systems, EPSEVG and FME Avda. Victor Balaguer, s/n, 08800 Vilanova i la Geltr\u00fa, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9823,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.86294643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"10","first_page":"3245","last_page":"3264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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":0.996999979019165,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9876000285148621,"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/control-theory","display_name":"Control theory (sociology)","score":0.6379077434539795},{"id":"https://openalex.org/keywords/buck-converter","display_name":"Buck converter","score":0.5823091864585876},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5564864277839661},{"id":"https://openalex.org/keywords/inductor","display_name":"Inductor","score":0.5052466988563538},{"id":"https://openalex.org/keywords/pulse-width-modulation","display_name":"Pulse-width modulation","score":0.5043359994888306},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4981253147125244},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.4554769992828369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44706374406814575},{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.43095940351486206},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3952128291130066},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3840125799179077},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35414838790893555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3434574604034424},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.24071204662322998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19758877158164978},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1102583110332489},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08282983303070068}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6379077434539795},{"id":"https://openalex.org/C150818752","wikidata":"https://www.wikidata.org/wiki/Q83804","display_name":"Buck converter","level":3,"score":0.5823091864585876},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5564864277839661},{"id":"https://openalex.org/C144534570","wikidata":"https://www.wikidata.org/wiki/Q5325","display_name":"Inductor","level":3,"score":0.5052466988563538},{"id":"https://openalex.org/C92746544","wikidata":"https://www.wikidata.org/wiki/Q585184","display_name":"Pulse-width modulation","level":3,"score":0.5043359994888306},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4981253147125244},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4554769992828369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44706374406814575},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.43095940351486206},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3952128291130066},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3840125799179077},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35414838790893555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3434574604034424},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.24071204662322998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19758877158164978},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1102583110332489},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08282983303070068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127405014015","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014015","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"},{"id":"pmh:oai:dnet:upcommonspor::75ae5dcac74655c672dc9b6c5de709e9","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/4031","pdf_url":"http://hdl.handle.net/2117/4031","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:upcommonspor::75ae5dcac74655c672dc9b6c5de709e9","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/4031","pdf_url":"http://hdl.handle.net/2117/4031","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134871358.pdf","grobid_xml":"https://content.openalex.org/works/W2134871358.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W160832363","https://openalex.org/W186186683","https://openalex.org/W1533445008","https://openalex.org/W1739008595","https://openalex.org/W1855419098","https://openalex.org/W2004021828","https://openalex.org/W2015513307","https://openalex.org/W2040825728","https://openalex.org/W2094656677","https://openalex.org/W2094734627","https://openalex.org/W2097165119","https://openalex.org/W2104357921","https://openalex.org/W2124572099","https://openalex.org/W2134808087","https://openalex.org/W2139526574","https://openalex.org/W2141746089","https://openalex.org/W2147253680","https://openalex.org/W2153563086","https://openalex.org/W2159928388","https://openalex.org/W2164708960","https://openalex.org/W2167893833","https://openalex.org/W2332046668","https://openalex.org/W2484469314","https://openalex.org/W2533540191","https://openalex.org/W2539572166","https://openalex.org/W2615550972"],"related_works":["https://openalex.org/W4224217224","https://openalex.org/W3118640947","https://openalex.org/W4388308731","https://openalex.org/W2042003698","https://openalex.org/W1964519618","https://openalex.org/W1969697984","https://openalex.org/W3048730783","https://openalex.org/W1992416820","https://openalex.org/W3094197880","https://openalex.org/W3048189144"],"abstract_inverted_index":{"The":[0,17],"transition":[1,66,77],"from":[2,67],"periodicity":[3,68],"to":[4,30,69,112],"chaos":[5,70],"in":[6,14,28,81,86,99],"a":[7,22,45,65,90,113],"DC-DC":[8],"Buck":[9],"power":[10],"converter":[11,18],"is":[12,19,71],"studied":[13],"this":[15,76],"paper.":[16],"controlled":[20],"through":[21],"direct":[23],"Pulse":[24],"Width":[25],"Modulation":[26],"(PWM)":[27],"order":[29],"regulate":[31],"the":[32,55,59,79,82,87,100,105,117,120],"error":[33,43,61],"dynamics":[34,52,62],"at":[35],"zero.":[36],"Results":[37],"show":[38],"robustness":[39],"with":[40,58,89,116],"low":[41],"output":[42],"and":[44,78,92],"fixed":[46],"switching":[47],"frequency.":[48],"Furthermore,":[49],"some":[50],"rich":[51],"appear":[53],"as":[54],"constant":[56],"associated":[57],"first-order":[60],"decreases.":[63],"Finally,":[64],"observed.":[72],"This":[73,108],"paper":[74],"describes":[75],"bifurcations":[80],"converter.":[83],"Chaos":[84],"appears":[85],"system":[88,121],"stretching":[91],"folding":[93],"mechanism.":[94],"It":[95],"can":[96],"be":[97],"observed":[98],"one-dimensional":[101],"Poincar\u00e9":[102,109],"map":[103,110,115],"of":[104,119],"inductor":[106],"current.":[107],"converges":[111],"tent":[114],"variation":[118],"parameter":[122],"ks.":[123]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}