{"id":"https://openalex.org/W2109052923","doi":"https://doi.org/10.1142/s0218127414300237","title":"Memfractance: A Mathematical Paradigm for Circuit Elements with Memory","display_name":"Memfractance: A Mathematical Paradigm for Circuit Elements with Memory","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2109052923","doi":"https://doi.org/10.1142/s0218127414300237","mag":"2109052923"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127414300237","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414300237","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":"https://hal.science/hal-01322396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059749882","display_name":"Mohammed-Salah Abdelouahab","orcid":"https://orcid.org/0000-0002-9235-8362"},"institutions":[{"id":"https://openalex.org/I4210155582","display_name":"Centre Universitaire de Mila","ror":"https://ror.org/05s3cw058","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210155582"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mohammed-Salah Abdelouahab","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, University Center of Mila, Mila 43000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, University Center of Mila, Mila 43000, Algeria","institution_ids":["https://openalex.org/I4210155582"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076087931","display_name":"Ren\u00e9 Lozi","orcid":"https://orcid.org/0000-0003-0451-4255"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ren\u00e9 Lozi","raw_affiliation_strings":["Laboratory of Mathematics J. A. Dieudonn\u00e9, U.M.R. CNRS 7351, University of Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 02, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics J. A. Dieudonn\u00e9, U.M.R. CNRS 7351, University of Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 02, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090657067","display_name":"Leon O. Chua","orcid":"https://orcid.org/0000-0002-1652-5464"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leon Chua","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA","Department of Electrical Engineering, and Computer Sciences, University of California, Berkeley, CA 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering, and Computer Sciences, University of California, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2587,"has_fulltext":false,"cited_by_count":124,"citation_normalized_percentile":{"value":0.94864759,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"24","issue":"09","first_page":"1430023","last_page":"1430023"},"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":0.9979000091552734,"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":0.9955999851226807,"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/memristor","display_name":"Memristor","score":0.8919079303741455},{"id":"https://openalex.org/keywords/ohm","display_name":"Ohm","score":0.8561991453170776},{"id":"https://openalex.org/keywords/ohms-law","display_name":"Ohm's law","score":0.6267662048339844},{"id":"https://openalex.org/keywords/capacitive-sensing","display_name":"Capacitive sensing","score":0.5464944839477539},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4865476191043854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4858841300010681},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4657984673976898},{"id":"https://openalex.org/keywords/electrical-element","display_name":"Electrical element","score":0.4554930627346039},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4554348886013031},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.41661307215690613},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.38968217372894287},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3360782265663147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25635504722595215},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24484583735466003},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.13515067100524902},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.13061296939849854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10422113537788391}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8919079303741455},{"id":"https://openalex.org/C32211213","wikidata":"https://www.wikidata.org/wiki/Q47083","display_name":"Ohm","level":2,"score":0.8561991453170776},{"id":"https://openalex.org/C166541682","wikidata":"https://www.wikidata.org/wiki/Q41591","display_name":"Ohm's law","level":3,"score":0.6267662048339844},{"id":"https://openalex.org/C206755178","wikidata":"https://www.wikidata.org/wiki/Q1131271","display_name":"Capacitive sensing","level":2,"score":0.5464944839477539},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4865476191043854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4858841300010681},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4657984673976898},{"id":"https://openalex.org/C113089479","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Electrical element","level":2,"score":0.4554930627346039},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4554348886013031},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.41661307215690613},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.38968217372894287},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3360782265663147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25635504722595215},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24484583735466003},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.13515067100524902},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.13061296939849854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10422113537788391},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127414300237","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414300237","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:HAL:hal-01322396v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01322396","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"International journal of bifurcation and chaos in applied sciences and engineering , 2014, 24 (9), pp.1430023- 1430023-29. ⟨10.1142/S0218127414300237⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01322396v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01322396","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"International journal of bifurcation and chaos in applied sciences and engineering , 2014, 24 (9), pp.1430023- 1430023-29. ⟨10.1142/S0218127414300237⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1530054495","https://openalex.org/W2006292314","https://openalex.org/W2010835136","https://openalex.org/W2018258488","https://openalex.org/W2026913344","https://openalex.org/W2030834420","https://openalex.org/W2034651058","https://openalex.org/W2045009304","https://openalex.org/W2051483432","https://openalex.org/W2059630355","https://openalex.org/W2079756960","https://openalex.org/W2080299275","https://openalex.org/W2098599811","https://openalex.org/W2112181056","https://openalex.org/W2129380152","https://openalex.org/W2131263181","https://openalex.org/W2134837756","https://openalex.org/W2156367245","https://openalex.org/W2162651880","https://openalex.org/W2198803690","https://openalex.org/W2333285466","https://openalex.org/W2496913885","https://openalex.org/W2787959293","https://openalex.org/W4254873200"],"related_works":["https://openalex.org/W2913275612","https://openalex.org/W2289426026","https://openalex.org/W2059128520","https://openalex.org/W2010370440","https://openalex.org/W2916704218","https://openalex.org/W4240146560","https://openalex.org/W2015332693","https://openalex.org/W2169147958","https://openalex.org/W1986501204","https://openalex.org/W2109052923"],"abstract_inverted_index":{"Memristor,":[0],"the":[1,29,49,54,72,87],"missing":[2],"fourth":[3],"passive":[4],"circuit":[5],"element":[6],"predicted":[7],"forty":[8],"years":[9],"ago":[10],"by":[11,21],"Chua":[12],"was":[13,34],"recognized":[14],"as":[15],"a":[16,24,67],"nanoscale":[17],"device":[18],"in":[19],"2008":[20],"researchers":[22],"of":[23,31,53,74],"H.":[25],"P.":[26],"Laboratory.":[27],"Recently":[28],"notion":[30],"memristive":[32],"systems":[33],"extended":[35],"to":[36,63,86],"capacitive":[37],"and":[38,43,51,65,91],"inductive":[39],"elements,":[40],"namely,":[41],"memcapacitor":[42],"meminductor":[44],"whose":[45],"properties":[46],"depend":[47],"on":[48],"state":[50],"history":[52],"system.":[55],"In":[56,79],"this":[57,80],"paper,":[58],"we":[59,82],"use":[60],"fractional":[61],"calculus":[62],"generalize":[64],"provide":[66],"mathematical":[68],"paradigm":[69],"for":[70],"describing":[71],"behavior":[73],"such":[75],"elements":[76],"with":[77],"memory.":[78],"framework,":[81],"extend":[83],"Ohm's":[84,89],"law":[85,90],"generalized":[88],"prove":[92],"it.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}