{"id":"https://openalex.org/W2019707373","doi":"https://doi.org/10.1109/mwscas.2013.6674759","title":"Mixed-mode and chaotic oscillating circuits: Bifurcations and newtonian properties","display_name":"Mixed-mode and chaotic oscillating circuits: Bifurcations and newtonian properties","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2019707373","doi":"https://doi.org/10.1109/mwscas.2013.6674759","mag":"2019707373"},"language":"en","primary_location":{"id":"doi:10.1109/mwscas.2013.6674759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mwscas.2013.6674759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5043468204","display_name":"Wies\u0142aw Marsza\u0142ek","orcid":"https://orcid.org/0000-0001-6087-0567"},"institutions":[{"id":"https://openalex.org/I40372098","display_name":"DeVry University","ror":"https://ror.org/02z38kp20","country_code":"US","type":"education","lineage":["https://openalex.org/I40372098"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wieslaw Marszalek","raw_affiliation_strings":["College of Engineering & Information Sciences, DeVry University North Brunswick, NJ, USA","Coll. of Eng. & Inf. Sci., DeVry Univ., North Brunswick, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering & Information Sciences, DeVry University North Brunswick, NJ, USA","institution_ids":["https://openalex.org/I40372098"]},{"raw_affiliation_string":"Coll. of Eng. & Inf. Sci., DeVry Univ., North Brunswick, NJ, USA","institution_ids":["https://openalex.org/I40372098"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000047309","display_name":"Z. Trzaska","orcid":"https://orcid.org/0000-0003-4786-7579"},"institutions":[{"id":"https://openalex.org/I4210089213","display_name":"Akademia Techniczno-Artystyczna Nauk Stosowanych w Warszawie","ror":"https://ror.org/005vjg312","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210089213"]},{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Zdzislaw W. Trzaska","raw_affiliation_strings":["Department of Management & Production Technology, Warsaw University of Ecology & Management, Warsaw, POLAND","Dept. of Manage. & Production Technol., Warsaw Univ. of Ecology & Manage., Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management & Production Technology, Warsaw University of Ecology & Management, Warsaw, POLAND","institution_ids":["https://openalex.org/I4210089213"]},{"raw_affiliation_string":"Dept. of Manage. & Production Technol., Warsaw Univ. of Ecology & Manage., Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2767,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51213592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":null,"first_page":"754","last_page":"759"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9983000159263611,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9957000017166138,"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/chaotic","display_name":"Chaotic","score":0.624782145023346},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.546129047870636},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44212788343429565},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4197394847869873},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.412987619638443},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3534083962440491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27260661125183105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2660979926586151},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1603841483592987},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1354178488254547},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11090487241744995}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.624782145023346},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.546129047870636},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44212788343429565},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4197394847869873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.412987619638443},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3534083962440491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27260661125183105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2660979926586151},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1603841483592987},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1354178488254547},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11090487241744995},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mwscas.2013.6674759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mwscas.2013.6674759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS)","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":18,"referenced_works":["https://openalex.org/W601637684","https://openalex.org/W1484182740","https://openalex.org/W1967008192","https://openalex.org/W1967771793","https://openalex.org/W1968859574","https://openalex.org/W1977946413","https://openalex.org/W1983855857","https://openalex.org/W2001399206","https://openalex.org/W2007305479","https://openalex.org/W2060277448","https://openalex.org/W2065087707","https://openalex.org/W2066205711","https://openalex.org/W2072797085","https://openalex.org/W2078263714","https://openalex.org/W2088446113","https://openalex.org/W2118670845","https://openalex.org/W2141394518","https://openalex.org/W2502209207"],"related_works":["https://openalex.org/W4251298892","https://openalex.org/W2356013541","https://openalex.org/W2385444679","https://openalex.org/W3133868776","https://openalex.org/W144391745","https://openalex.org/W2360644005","https://openalex.org/W2350667299","https://openalex.org/W2365027229","https://openalex.org/W4229851301","https://openalex.org/W2161583424"],"abstract_inverted_index":{"We":[0],"analyze":[1],"properties":[2],"of":[3,27,83],"two":[4,16],"singularly":[5],"perturbed":[6],"nonlinear":[7],"systems":[8,29],"with":[9,44],"mixed-mode":[10,74],"and":[11,14,75,90],"chaotic":[12,76],"oscillations":[13],"propose":[15],"op-amp":[17],"RC":[18],"circuits":[19,85],"for":[20],"the":[21,36,71,84],"systems.":[22],"The":[23,73],"three-variable":[24],"mathematical":[25],"models":[26],"both":[28],"(with":[30],"cubic":[31],"nonlinearities)":[32],"are":[33,86],"linked":[34],"to":[35,55,69],"second":[37],"Newton's":[38],"law":[39],"d2x/dt2=":[40],"F(t,":[41,45],"x,":[42,46],"dx/dt)/m,":[43],"dx/dt)":[47],"containing":[48],"a":[49,57,67],"memory":[50],"term.":[51],"This":[52],"allows":[53],"further":[54],"use":[56],"scalar":[58],"equation":[59],"x'":[60],"=":[61],"f(x)+":[62],"\u222by(\u03c4;":[63],"\u222bz(\u03b8;":[64],"x)d\u03b8)d\u03c4":[65],"as":[66,78,80],"base":[68],"design":[70],"circuits.":[72],"responses":[77],"well":[79],"bifurcation":[81],"diagrams":[82],"obtained":[87],"through":[88],"Spice":[89],"Matlab":[91],"simulations.":[92]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
