{"id":"https://openalex.org/W2615030505","doi":"https://doi.org/10.1109/tie.2017.2703676","title":"Smale Horseshoes and Symbolic Dynamics in the Buck\u2013Boost DC\u2013DC Converter","display_name":"Smale Horseshoes and Symbolic Dynamics in the Buck\u2013Boost DC\u2013DC Converter","publication_year":2017,"publication_date":"2017-05-15","ids":{"openalex":"https://openalex.org/W2615030505","doi":"https://doi.org/10.1109/tie.2017.2703676","mag":"2615030505"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2017.2703676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2703676","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Industrial Electronics","raw_type":"journal-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/A5101555012","display_name":"Wang Yan-fen","orcid":"https://orcid.org/0000-0003-4656-4787"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanfen Wang","raw_affiliation_strings":["School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4656-4787","affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112704059","display_name":"Ru Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ru Yang","raw_affiliation_strings":["School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111981596","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0003-2290-6375"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2290-6375","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066330699","display_name":"Wei Hu","orcid":"https://orcid.org/0000-0003-2816-0244"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Hu","raw_affiliation_strings":["Lab Center, Guangzhou University, Guangzhou, China","School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab Center, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6739,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.83665964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"65","issue":"1","first_page":"800","last_page":"809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8810535669326782},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.6638564467430115},{"id":"https://openalex.org/keywords/symbolic-dynamics","display_name":"Symbolic dynamics","score":0.6361087560653687},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5981572270393372},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5666872262954712},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5076736211776733},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45084574818611145},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43634361028671265},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43262675404548645},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.42880886793136597},{"id":"https://openalex.org/keywords/buck-converter","display_name":"Buck converter","score":0.4218083620071411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4009280204772949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4001970887184143},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3781244456768036},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3252844214439392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31459254026412964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3076701760292053},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30010920763015747},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.11634764075279236},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10860392451286316},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08949354290962219}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8810535669326782},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.6638564467430115},{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.6361087560653687},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5981572270393372},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5666872262954712},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5076736211776733},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45084574818611145},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43634361028671265},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43262675404548645},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.42880886793136597},{"id":"https://openalex.org/C150818752","wikidata":"https://www.wikidata.org/wiki/Q83804","display_name":"Buck converter","level":3,"score":0.4218083620071411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4009280204772949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4001970887184143},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3781244456768036},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3252844214439392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31459254026412964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3076701760292053},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30010920763015747},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.11634764075279236},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10860392451286316},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08949354290962219},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2017.2703676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2703676","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G5139635197","display_name":null,"funder_award_id":"51277035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5601576892","display_name":null,"funder_award_id":"51541701","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W37653560","https://openalex.org/W226431050","https://openalex.org/W356269944","https://openalex.org/W1573847156","https://openalex.org/W1963689859","https://openalex.org/W1977855172","https://openalex.org/W1980641511","https://openalex.org/W2015689071","https://openalex.org/W2018724384","https://openalex.org/W2019684585","https://openalex.org/W2020264253","https://openalex.org/W2026989737","https://openalex.org/W2085836382","https://openalex.org/W2089876099","https://openalex.org/W2099804077","https://openalex.org/W2100582804","https://openalex.org/W2127575405","https://openalex.org/W2132755931","https://openalex.org/W2136958397","https://openalex.org/W2146819726","https://openalex.org/W2319210824","https://openalex.org/W2481189958","https://openalex.org/W2484469314","https://openalex.org/W4212928962","https://openalex.org/W4240569787","https://openalex.org/W4244176413","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2018591892","https://openalex.org/W2076884346","https://openalex.org/W251017182","https://openalex.org/W1651977201","https://openalex.org/W2158567118","https://openalex.org/W1973534662","https://openalex.org/W3103815875","https://openalex.org/W2567019508","https://openalex.org/W4231314908","https://openalex.org/W2115916301"],"abstract_inverted_index":{"DC-DC":[0],"converter,":[1],"which":[2],"is":[3,11,63,109],"used":[4],"to":[5,54,158],"change":[6],"and":[7,26,39,152],"control":[8],"voltage":[9],"magnitude,":[10],"a":[12,69,78,94],"really":[13],"important":[14],"part":[15],"of":[16,23,41,68,90,93,100,106,116,131,150,162],"the":[17,36,49,58,74,84,88,98,107,113,117,126,137,145,160],"power":[18,29,37,43,61],"electronic":[19],"conditioning":[20],"systems.":[21,45],"Study":[22],"nonlinear":[24],"dynamics":[25],"chaos":[27],"in":[28,35,57],"electronics":[30],"are":[31],"becoming":[32],"increasingly":[33],"significant":[34],"quality":[38],"stability":[40],"distributed":[42],"generation":[44],"In":[46],"this":[47],"paper,":[48],"mechanisms":[50],"that":[51],"give":[52],"rise":[53],"chaotic":[55],"dynamical":[56],"buck-":[59],"boost":[60],"converter":[62,71],"studied.":[64],"The":[65,103,120],"Poincare":[66],"map":[67,105,115,140],"buck-boost":[70],"system":[72,108,121],"possesses":[73],"invariant":[75,91],"manifolds":[76,92,154],"having":[77],"delightfully":[79],"complicated":[80],"structure.":[81],"Based":[82],"on":[83,144],"Smale-Birkhoff":[85],"homoclinic":[86,148],"theorem,":[87],"structure":[89],"fixed":[95],"point":[96],"indicates":[97],"presence":[99],"Smale":[101,127,138],"horseshoe.":[102],"horseshoe":[104,128,139],"topologically":[110],"conjugate":[111],"with":[112,125],"shift":[114],"symbolic":[118,133],"dynamics.":[119],"can":[122],"be":[123,156],"identified":[124],"by":[129],"means":[130],"its":[132],"descriptions.":[134],"Furthermore,":[135],"since":[136],"implies":[141],"sensitive":[142],"dependence":[143],"initial":[146],"condition,":[147],"intersection":[149],"stable":[151],"unstable":[153],"may":[155],"applied":[157],"illustrate":[159],"existence":[161],"chaos.":[163]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}