{"id":"https://openalex.org/W4391604801","doi":"https://doi.org/10.1142/s0218127424500019","title":"New Class of Discrete-Time Memristor Circuits: First Integrals, Coexisting Attractors and Bifurcations Without Parameters","display_name":"New Class of Discrete-Time Memristor Circuits: First Integrals, Coexisting Attractors and Bifurcations Without Parameters","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4391604801","doi":"https://doi.org/10.1142/s0218127424500019"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424500019","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218127424500019","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1142/s0218127424500019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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, via Roma 56, 53100 Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, 53100 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":true,"raw_author_name":"Mauro Forti","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, via Roma 56, 53100 Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, 53100 Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003092391","display_name":"Luca Pancioni","orcid":"https://orcid.org/0000-0002-2502-9542"},"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":"Luca Pancioni","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, via Roma 56, 53100 Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, via Roma 56, 53100 Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074942219","display_name":"A. Tesi","orcid":"https://orcid.org/0000-0002-0234-5999"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Tesi","raw_affiliation_strings":["Department of Information Engineering, University of Florence, via Santa Marta 3, 50139 Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, via Santa Marta 3, 50139 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069809502"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":null,"apc_paid":null,"fwci":3.0619,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91531963,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"34","issue":"01","first_page":null,"last_page":null},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9993000030517578,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.9428962469100952},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6476706862449646},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6356602907180786},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6156638860702515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.51722252368927},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.5064476728439331},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.49230754375457764},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.48244649171829224},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.451084703207016},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4276931583881378},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3005725145339966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28856733441352844},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17654678225517273},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07583829760551453},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06857097148895264}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.9428962469100952},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6476706862449646},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6356602907180786},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6156638860702515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.51722252368927},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.5064476728439331},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.49230754375457764},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48244649171829224},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.451084703207016},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4276931583881378},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3005725145339966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28856733441352844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17654678225517273},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07583829760551453},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06857097148895264},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127424500019","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218127424500019","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1256514","is_oa":true,"landing_page_url":"https://hdl.handle.net/11365/1256514","pdf_url":"https://usiena-air.unisi.it/bitstream/11365/1256514/1/di-marco-et-al-2024-new-class-of-discrete-time-memristor-circuits-first-integrals-coexisting-attractors-and.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:flore.unifi.it:2158/1405854","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1405854","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1142/s0218127424500019","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218127424500019","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G94498359","display_name":null,"funder_award_id":"PRIN 2017LSCR4K","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1514578360","https://openalex.org/W1989216335","https://openalex.org/W2052888871","https://openalex.org/W2056475144","https://openalex.org/W2066213929","https://openalex.org/W2112181056","https://openalex.org/W2162651880","https://openalex.org/W2182274314","https://openalex.org/W2318071957","https://openalex.org/W2347185331","https://openalex.org/W2510211160","https://openalex.org/W2573602455","https://openalex.org/W2605047942","https://openalex.org/W2743455512","https://openalex.org/W2883071601","https://openalex.org/W2890917406","https://openalex.org/W2894137312","https://openalex.org/W2955786865","https://openalex.org/W3081143752","https://openalex.org/W3096021022","https://openalex.org/W3104788907","https://openalex.org/W3119717233","https://openalex.org/W3168397396","https://openalex.org/W3212508523","https://openalex.org/W4207006543","https://openalex.org/W4210665017","https://openalex.org/W4247151931","https://openalex.org/W4281716798","https://openalex.org/W4312051583","https://openalex.org/W4312081754","https://openalex.org/W4386425946"],"related_works":["https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W3035288648","https://openalex.org/W3159427064","https://openalex.org/W1464403884","https://openalex.org/W2108117187","https://openalex.org/W2015173963","https://openalex.org/W3015125480","https://openalex.org/W2140187929","https://openalex.org/W4362633503"],"abstract_inverted_index":{"The":[0,86,189,235],"use":[1,276],"of":[2,63,109,148,268],"ideal":[3,53],"memristors":[4,54],"in":[5,32,75,101,117,204,213,228,237,287],"a":[6,27,89,205,214,219,229,281],"continuous-time":[7],"(CT)":[8],"nonlinear":[9],"circuit":[10,187,208,217],"is":[11,26,123,191],"known":[12],"to":[13,21,48,135,138,177,225,253,265,275],"greatly":[14],"enrich":[15],"the":[16,22,42,94,102,106,110,118,146,159,165,179,195,210,238,247,266,273,277,285],"dynamic":[17],"behavior":[18],"with":[19,52,200,218,246],"respect":[20],"memristorless":[23],"counterpart,":[24],"which":[25,49],"crucial":[28],"property":[29],"for":[30,56,93,125,182],"applications":[31],"future":[33],"analog":[34],"electronic":[35],"circuits.":[36],"This":[37,129],"can":[38,72,82],"be":[39,73],"explained":[40],"via":[41],"flux\u2013charge":[43],"analysis":[44],"method":[45,190],"(FCAM),":[46],"according":[47],"CT":[50,111,262],"circuits":[51,113,142,244],"have":[55],"structural":[57],"reasons":[58],"first":[59,107],"integrals":[60,108],"(or":[61],"invariants":[62],"motion,":[64],"or":[65],"conserved":[66],"quantities)":[67],"and":[68,120,143,151,169,186,197,201,209,258,272],"their":[69,261],"state":[70],"space":[71],"foliated":[74],"infinitely":[76,152,269],"many":[77,153,270],"invariant":[78,149,288],"manifolds":[79,150],"where":[80],"they":[81],"display":[83,254],"different":[84],"dynamics.":[85],"paper":[87,160,239],"introduces":[88],"new":[90,130],"discretization":[91,166,249,278],"scheme":[92,131,250],"memristor":[95,112,141,232,243],"which,":[96],"differently":[97],"from":[98],"those":[99],"adopted":[100],"literature,":[103],"guarantees":[104],"that":[105,121,241],"are":[114,222,251],"preserved":[115],"exactly":[116],"discretization,":[119],"this":[122],"true":[124],"any":[126],"step":[127,167,184,279],"size.":[128],"makes":[132],"it":[133],"possible":[134],"extend":[136],"FCAM":[137],"discrete-time":[139],"(DT)":[140],"rigorously":[144],"show":[145,240],"existence":[147],"coexisting":[154],"attractors":[155,271],"(extreme":[156],"multistability).":[157],"Moreover,":[158],"addresses":[161],"standard":[162],"bifurcations":[163,171,175,199,227,259],"varying":[164,178],"size":[168,185],"also":[170,223],"without":[172,202,283],"parameters,":[173],"i.e.":[174],"due":[176,264],"initial":[180],"conditions":[181],"fixed":[183],"parameters.":[188],"illustrated":[192],"by":[193],"analyzing":[194],"dynamics":[196,257],"flip":[198],"parameters":[203],"DT":[206,215,231,242],"memristor\u2013capacitor":[207],"Poincar\u00e9\u2013Andronov\u2013Hopf":[211],"bifurcation":[212],"Murali\u2013Lakshmanan\u2013Chua":[216],"memristor.":[220],"Simulations":[221],"provided":[224],"illustrate":[226],"higher-order":[230],"Chua\u2019s":[233],"circuit.":[234],"results":[236],"obtained":[245],"proposed":[248],"able":[252],"even":[255],"richer":[256],"than":[260],"counterparts,":[263],"coexistence":[267],"possibility":[274],"as":[280],"parameter":[282],"destroying":[284],"foliation":[286],"manifolds.":[289]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2024-02-08T00:00:00"}