{"id":"https://openalex.org/W2932983590","doi":"https://doi.org/10.1109/tcyb.2019.2904903","title":"Nonlinear Networks With Mem-Elements: Complex Dynamics via Flux\u2013Charge Analysis Method","display_name":"Nonlinear Networks With Mem-Elements: Complex Dynamics via Flux\u2013Charge Analysis Method","publication_year":2019,"publication_date":"2019-04-03","ids":{"openalex":"https://openalex.org/W2932983590","doi":"https://doi.org/10.1109/tcyb.2019.2904903","mag":"2932983590","pmid":"https://pubmed.ncbi.nlm.nih.gov/30951485"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2019.2904903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2904903","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5016472360","display_name":"Fernando Corinto","orcid":"https://orcid.org/0000-0003-4431-5701"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fernando Corinto","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080374992","display_name":"Mauro Di Marco","orcid":"https://orcid.org/0000-0002-0013-9112"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Di Marco","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0013-9112","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069809502","display_name":"Mauro Forti","orcid":"https://orcid.org/0000-0002-3970-7201"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Forti","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3970-7201","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"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 at Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8022,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.90894249,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"50","issue":"11","first_page":"4758","last_page":"4771"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10581","display_name":"Neural dynamics and brain function","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.8959411382675171},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.8240711688995361},{"id":"https://openalex.org/keywords/neuromorphic-engineering","display_name":"Neuromorphic engineering","score":0.6282036304473877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.516836941242218},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4784110486507416},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43724238872528076},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.41741248965263367},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.4173589050769806},{"id":"https://openalex.org/keywords/electrical-element","display_name":"Electrical element","score":0.41240328550338745},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34896206855773926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29219910502433777},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23199817538261414},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17682427167892456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15190747380256653},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.15057310461997986},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13637930154800415}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8959411382675171},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.8240711688995361},{"id":"https://openalex.org/C151927369","wikidata":"https://www.wikidata.org/wiki/Q1981312","display_name":"Neuromorphic engineering","level":3,"score":0.6282036304473877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.516836941242218},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4784110486507416},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43724238872528076},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.41741248965263367},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.4173589050769806},{"id":"https://openalex.org/C113089479","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Electrical element","level":2,"score":0.41240328550338745},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34896206855773926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29219910502433777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23199817538261414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17682427167892456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15190747380256653},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.15057310461997986},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13637930154800415},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcyb.2019.2904903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2904903","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:30951485","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30951485","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null},{"id":"pmh:oai:usiena-air.unisi.it:11365/1175549","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1175549","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313985","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W84815171","https://openalex.org/W1606202192","https://openalex.org/W1970974872","https://openalex.org/W1976950849","https://openalex.org/W1993522825","https://openalex.org/W1993819032","https://openalex.org/W2026913344","https://openalex.org/W2038569833","https://openalex.org/W2044207434","https://openalex.org/W2056790052","https://openalex.org/W2081696580","https://openalex.org/W2081977391","https://openalex.org/W2167301228","https://openalex.org/W2198803690","https://openalex.org/W2217079305","https://openalex.org/W2343397127","https://openalex.org/W2434369367","https://openalex.org/W2466014102","https://openalex.org/W2501582773","https://openalex.org/W2503913798","https://openalex.org/W2510211160","https://openalex.org/W2565125940","https://openalex.org/W2573602455","https://openalex.org/W2618850692","https://openalex.org/W2698842465","https://openalex.org/W2743455512","https://openalex.org/W2744099609","https://openalex.org/W2752233686","https://openalex.org/W2772397789","https://openalex.org/W2792278494","https://openalex.org/W2802477242","https://openalex.org/W2891943454","https://openalex.org/W2899745345","https://openalex.org/W3037767763"],"related_works":["https://openalex.org/W1872623660","https://openalex.org/W3207218810","https://openalex.org/W4292697011","https://openalex.org/W3212508523","https://openalex.org/W1995352804","https://openalex.org/W2909534142","https://openalex.org/W1940420793","https://openalex.org/W4367187682","https://openalex.org/W3215957123","https://openalex.org/W2886787177"],"abstract_inverted_index":{"Nonlinear":[0],"dynamic":[1],"memory":[2],"elements,":[3],"as":[4,11,168],"memristors,":[5],"memcapacitors,":[6],"and":[7,24,76,83,124,148,190,210],"meminductors":[8],"(also":[9,166],"known":[10,167],"mem-elements),":[12],"are":[13,122,174],"of":[14,69,90,103,119,130,140,152,164,206],"paramount":[15],"importance":[16],"in":[17,44,86,94,133,196,213,225],"conceiving":[18],"the":[19,55,80,87,120,128,134,138,150,157],"neural":[20],"networks,":[21],"mem-computing":[22],"machines,":[23],"reservoir":[25],"computing":[26],"systems":[27,227],"with":[28,47,63,216,228],"advanced":[29],"computational":[30,211],"primitives.":[31],"This":[32],"paper":[33,98],"aims":[34],"to":[35,65,155,177,182],"develop":[36],"a":[37,66,107,161,200,203,222],"systematic":[38],"methodology":[39],"for":[40,60,105,160,202,221],"analyzing":[41],"complex":[42,207],"dynamics":[43,121,145],"nonlinear":[45,61,70,191,214],"networks":[46,71,180,215],"such":[48,229],"emerging":[49,230],"nanoscale":[50,231],"mem-elements.":[51],"The":[52,194],"technique":[53],"extends":[54],"flux-charge":[56,88],"analysis":[57],"method":[58,201],"(FCAM)":[59],"circuits":[62],"memristors":[64],"broader":[67],"class":[68],"N":[72,95,104],"containing":[73],"also":[74,175],"memcapacitors":[75],"meminductors.":[77],"After":[78],"deriving":[79],"constitutive":[81],"relation":[82],"equivalent":[84],"circuit":[85],"domain":[89],"each":[91],"two-terminal":[92],"element":[93],",":[96],"this":[97,115,197],"focuses":[99],"on":[100,146],"relevant":[101],"subclasses":[102],"which":[106,218],"state":[108],"equation":[109],"description":[110],"can":[111],"be":[112],"obtained.":[113],"On":[114],"basis,":[116],"salient":[117],"features":[118,209],"highlighted":[123],"studied":[125],"analytically:":[126],"1)":[127],"presence":[129,151],"invariant":[131],"manifolds":[132,189],"autonomous":[135],"networks;":[136],"2)":[137],"coexistence":[139],"infinitely":[141],"many":[142],"different":[143,188],"reduced-order":[144,192],"manifolds;":[147],"3)":[149],"bifurcations":[153,169],"due":[154],"changing":[156],"initial":[158],"conditions":[159],"fixed":[162],"set":[163],"parameters":[165],"without":[170],"parameters).":[171],"Analytic":[172],"formulas":[173],"given":[176],"design":[178],"nonautonomous":[179],"subject":[181],"pulses":[183],"that":[184],"drive":[185],"trajectories":[186],"through":[187],"dynamics.":[193],"results,":[195],"paper,":[198],"provide":[199],"comprehensive":[204],"understanding":[205],"dynamical":[208],"capabilities":[212],"mem-elements,":[217],"is":[219],"fundamental":[220],"holistic":[223],"approach":[224],"neuromorphic":[226],"devices.":[232]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
