{"id":"https://openalex.org/W1961470760","doi":"https://doi.org/10.1109/ecctd.2015.7300084","title":"Generalized rule of homothety of ideal memristors and their siblings","display_name":"Generalized rule of homothety of ideal memristors and their siblings","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1961470760","doi":"https://doi.org/10.1109/ecctd.2015.7300084","mag":"1961470760"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2015.7300084","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2015.7300084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Conference on Circuit Theory and Design (ECCTD)","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/A5048440535","display_name":"Zden\u011bk Biolek","orcid":"https://orcid.org/0000-0003-3055-4621"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Z. Biolek","raw_affiliation_strings":["Microelectronics Department, Brno University of Technology, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microelectronics Department, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069658742","display_name":"Dalibor Biolek","orcid":"https://orcid.org/0000-0002-7607-6146"},"institutions":[{"id":"https://openalex.org/I96415178","display_name":"University of Defence","ror":"https://ror.org/04arkmn57","country_code":"CZ","type":"education","lineage":["https://openalex.org/I96415178"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"D. Biolek","raw_affiliation_strings":["Dept. of El. Engineering, University of Defence, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of El. Engineering, University of Defence, Brno, Czech Republic","institution_ids":["https://openalex.org/I96415178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083744068","display_name":"Viera Biolkov\u00e1","orcid":"https://orcid.org/0000-0003-2589-2722"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"V. Biolkova","raw_affiliation_strings":["Dept. of Radio Electronics, Brno University of Technology, Brno, Czech Republic","[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066848813","display_name":"Zden\u011bk Kolka","orcid":"https://orcid.org/0000-0002-7034-9430"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Z. Kolka","raw_affiliation_strings":["Dept. of Radio Electronics, Brno University of Technology, Brno, Czech Republic","[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023152110","display_name":"Alon Ascoli","orcid":"https://orcid.org/0000-0003-4026-9648"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Ascoli","raw_affiliation_strings":["Inst. f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","Inst. f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":[]},{"raw_affiliation_string":"Inst. f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012451668","display_name":"Ronald Tetzlaff","orcid":"https://orcid.org/0000-0001-7436-0103"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Tetzlaff","raw_affiliation_strings":["Inst. f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","Inst. f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":[]},{"raw_affiliation_string":"Inst. f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6025,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72270075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"18","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10581","display_name":"Neural dynamics and brain function","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homothetic-transformation","display_name":"Homothetic transformation","score":0.9339264631271362},{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.7863138914108276},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6643002033233643},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4972818195819855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47453320026397705},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.46429523825645447},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.43583494424819946},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4012441635131836},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35955101251602173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35052430629730225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3424701690673828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29897186160087585},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2332044541835785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14191800355911255},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12875089049339294},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12026199698448181}],"concepts":[{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.9339264631271362},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.7863138914108276},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6643002033233643},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4972818195819855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47453320026397705},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.46429523825645447},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.43583494424819946},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4012441635131836},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35955101251602173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35052430629730225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3424701690673828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29897186160087585},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2332044541835785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14191800355911255},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12875089049339294},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12026199698448181},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecctd.2015.7300084","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2015.7300084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W284660350","https://openalex.org/W1606966364","https://openalex.org/W1975229527","https://openalex.org/W1991457876","https://openalex.org/W2003942425","https://openalex.org/W2004956061","https://openalex.org/W2045009304","https://openalex.org/W2053406274","https://openalex.org/W2076542112","https://openalex.org/W2153690880","https://openalex.org/W2162651880","https://openalex.org/W2166174518","https://openalex.org/W2175059239","https://openalex.org/W2603064927","https://openalex.org/W3106114372","https://openalex.org/W6736339276","https://openalex.org/W7065999554"],"related_works":["https://openalex.org/W1994989603","https://openalex.org/W2371284713","https://openalex.org/W4229452466","https://openalex.org/W2365323989","https://openalex.org/W2966276069","https://openalex.org/W2554988463","https://openalex.org/W1552672949","https://openalex.org/W2304829496","https://openalex.org/W2565332230","https://openalex.org/W2358307108"],"abstract_inverted_index":{"The":[0,35],"pinched":[1],"hysteresis":[2],"loop":[3],"area":[4],"increasing":[5],"with":[6,70,76,85],"the":[7,10,17,24,28,45,48,73,77,81,86,112],"square":[8],"of":[9,12,19,32,51,63],"frequency":[11],"driving":[13],"harmonic":[14,46],"signal":[15,62],"on":[16],"assumption":[18],"constant":[20],"charge":[21],"delivered":[22],"within":[23],"half-period":[25],"belongs":[26],"to":[27,72],"less":[29],"known":[30],"fingerprints":[31],"ideal":[33,96,118],"memristor.":[34,119],"paper":[36],"proves":[37],"that":[38,111],"this":[39,107],"fingerprint":[40],"holds":[41,92],"not":[42,99,116],"only":[43],"for":[44,93,100],"excitation:":[47],"v-i":[49,82],"characteristic":[50],"a":[52,67],"memristor":[53,97],"driven":[54],"by":[55],"n-times":[56,60],"accelerated":[57],"and":[58,84],"simultaneously":[59],"amplified":[61],"arbitrary":[64,95,102],"waveform":[65],"is":[66,115],"homothetic":[68,78],"entity":[69],"respect":[71],"original":[74],"characteristic,":[75],"center":[79],"at":[80],"origin":[83],"homothety":[87],"ratio":[88],"n.":[89],"This":[90],"rule":[91,108],"an":[94,101,117],"but":[98],"general":[103],"memristive":[104],"element.":[105],"Breaking":[106],"indicates":[109],"reliably":[110],"element":[113],"analyzed":[114]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}