{"id":"https://openalex.org/W2913198107","doi":"https://doi.org/10.1177/0959651819828878","title":"Numerical and experimental study of dynamics of two pendulums under a magnetic field","display_name":"Numerical and experimental study of dynamics of two pendulums under a magnetic field","publication_year":2019,"publication_date":"2019-02-13","ids":{"openalex":"https://openalex.org/W2913198107","doi":"https://doi.org/10.1177/0959651819828878","mag":"2913198107"},"language":"en","primary_location":{"id":"doi:10.1177/0959651819828878","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651819828878","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5008324790","display_name":"Krystian Polczy\u0144ski","orcid":"https://orcid.org/0000-0002-1177-6109"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krystian Polczy\u0144ski","raw_affiliation_strings":["Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1177-6109","affiliations":[{"raw_affiliation_string":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084185792","display_name":"Adam Wijata","orcid":"https://orcid.org/0000-0003-3042-7112"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Adam Wijata","raw_affiliation_strings":["Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland"],"raw_orcid":"https://orcid.org/0000-0003-3042-7112","affiliations":[{"raw_affiliation_string":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025074757","display_name":"Jan Awrejcewicz","orcid":"https://orcid.org/0000-0003-0387-921X"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Jan Awrejcewicz","raw_affiliation_strings":["Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland"],"raw_orcid":"https://orcid.org/0000-0003-0387-921X","affiliations":[{"raw_affiliation_string":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022414690","display_name":"Grzegorz Wasilewski","orcid":"https://orcid.org/0000-0002-5549-2976"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Grzegorz Wasilewski","raw_affiliation_strings":["Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025074757"],"corresponding_institution_ids":["https://openalex.org/I188884621"],"apc_list":null,"apc_paid":null,"fwci":2.7875,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.91009018,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"233","issue":"4","first_page":"441","last_page":"453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9977999925613403,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9936000108718872,"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/phase-portrait","display_name":"Phase portrait","score":0.9134799242019653},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.7172550559043884},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7162370085716248},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.707497239112854},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.6863269209861755},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6430051326751709},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.6369308829307556},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.58163982629776},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5585699081420898},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.48513826727867126},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.44952690601348877},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4374883472919464},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.417240172624588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12054038047790527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1038261353969574},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.07802039384841919}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.9134799242019653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7172550559043884},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7162370085716248},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.707497239112854},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6863269209861755},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6430051326751709},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.6369308829307556},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.58163982629776},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5585699081420898},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.48513826727867126},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.44952690601348877},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4374883472919464},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.417240172624588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12054038047790527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1038261353969574},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07802039384841919},{"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651819828878","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651819828878","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G979377961","display_name":null,"funder_award_id":"OPUS 14 No. 2017/27/B/ST8/01330","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1505874524","https://openalex.org/W1973427794","https://openalex.org/W1980972144","https://openalex.org/W1983160199","https://openalex.org/W1989855287","https://openalex.org/W1991746330","https://openalex.org/W2000280087","https://openalex.org/W2013144526","https://openalex.org/W2013624353","https://openalex.org/W2025519657","https://openalex.org/W2039671349","https://openalex.org/W2047688791","https://openalex.org/W2060193582","https://openalex.org/W2066880023","https://openalex.org/W2072998188","https://openalex.org/W2077644740","https://openalex.org/W2083832952","https://openalex.org/W2084582087","https://openalex.org/W2086802748","https://openalex.org/W2087950050","https://openalex.org/W2091183900","https://openalex.org/W2094083160","https://openalex.org/W2105763846","https://openalex.org/W2123730402","https://openalex.org/W2142303762","https://openalex.org/W2147833317","https://openalex.org/W2155664402","https://openalex.org/W2225692641","https://openalex.org/W2226016447","https://openalex.org/W2253935333","https://openalex.org/W2342790949","https://openalex.org/W2393212522","https://openalex.org/W2407676992","https://openalex.org/W2423138620","https://openalex.org/W2585650525","https://openalex.org/W2733419142","https://openalex.org/W2805409143","https://openalex.org/W2878523266","https://openalex.org/W3104451519"],"related_works":["https://openalex.org/W4386041468","https://openalex.org/W2051721081","https://openalex.org/W1908764089","https://openalex.org/W2912842457","https://openalex.org/W3107946728","https://openalex.org/W3016776681","https://openalex.org/W2293773556","https://openalex.org/W2887067091","https://openalex.org/W3171752347","https://openalex.org/W2011986840"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"a":[3,14],"two-degree-of-freedom":[4],"system":[5,68],"consisting":[6],"of":[7,24,44,66,73,84,106],"two":[8],"pendulums":[9,26,46],"with":[10],"magnets":[11],"embedded":[12],"in":[13,104],"variable":[15],"magnetic":[16,34,57],"field":[17],"is":[18,59,69],"investigated":[19],"experimentally":[20],"and":[21,47,61,80,86,92,97,102],"numerically.":[22],"Pivots":[23],"the":[25,45,56,67],"are":[27,89,100,109],"coupled":[28],"by":[29,71],"an":[30],"elastic":[31],"element.":[32],"The":[33],"interaction":[35],"originates":[36],"from":[37],"permanent":[38],"magnets,":[39],"mounted":[40],"at":[41],"free":[42],"ends":[43],"current-powered":[48],"air":[49],"coils":[50],"underneath.":[51],"A":[52],"novel":[53],"model":[54],"for":[55],"force":[58],"proposed":[60],"verified":[62],"experimentally.":[63,94],"Nonlinear":[64],"dynamics":[65],"examined":[70],"means":[72],"time":[74],"series,":[75],"bifurcation":[76],"diagrams,":[77],"phase":[78],"portraits,":[79],"Poincar\u00e9":[81],"sections.":[82],"Regions":[83],"chaotic":[85],"regular":[87],"motion":[88,96],"predicted":[90],"numerically":[91],"justified":[93],"Multiperiodic":[95],"coexisting":[98],"solutions":[99],"detected,":[101],"pictures":[103],"basins":[105],"their":[107],"attraction":[108],"reported,":[110],"among":[111],"other.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4}],"updated_date":"2026-05-05T06:06:40.768181","created_date":"2025-10-10T00:00:00"}
