{"id":"https://openalex.org/W7208769575","doi":"https://doi.org/10.48550/arxiv.2609.03057","title":"Current-Gated Nonlinear Dynamics of a Self-Heating Memristor: an Electrothermal Extension of the Pickett Filamentary Model","display_name":"Current-Gated Nonlinear Dynamics of a Self-Heating Memristor: an Electrothermal Extension of the Pickett Filamentary Model","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7208769575","doi":"https://doi.org/10.48550/arxiv.2609.03057"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.03057","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03057","pdf_url":"https://arxiv.org/pdf/2609.03057","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.03057","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048511376","display_name":"N. G. Koudafok\u00ea","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210119417","display_name":"Universit\u00e9 d'Abomey-Calavi","ror":"https://ror.org/03gzr6j88","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210119417"]},{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]},{"id":"https://openalex.org/I4387152090","display_name":"ICTP South American Institute for Fundamental Research","ror":"https://ror.org/0021fvv57","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4387152090"]},{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BJ","BR"],"is_corresponding":false,"raw_author_name":"Koudafok\u00ea, N. G.","raw_affiliation_strings":["ICTP South American Institute for Fundamental Research , Instituto de F\u00edsica Te\u00f3rica (IFT-UNESP) , Bloco II , Rua Dr. Bento Teobaldo Ferraz 271 , Barra Funda , S\u00e3o Paulo , 01140-070 , Brazil","Institut de Math\u00e9matiques et de Sciences Physiques (IMSP) , Universit\u00e9 d'Abomey Calavi (UAC) , Porto-Novo , B\u00e9nin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTP South American Institute for Fundamental Research , Instituto de F\u00edsica Te\u00f3rica (IFT-UNESP) , Bloco II , Rua Dr. Bento Teobaldo Ferraz 271 , Barra Funda , S\u00e3o Paulo , 01140-070 , Brazil","institution_ids":["https://openalex.org/I4387152090","https://openalex.org/I879563668"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques (IMSP) , Universit\u00e9 d'Abomey Calavi (UAC) , Porto-Novo , B\u00e9nin","institution_ids":["https://openalex.org/I4210119417","https://openalex.org/I4210123509"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123270093","display_name":"Florian G\u00fcnther","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"G\u00fcnther, Florian","raw_affiliation_strings":["S\u00e3o Paulo State University (UNESP) , Instituto de Geoci\u00eancias e Ci\u00eancias Exatas (IGCE) , Campus Rio Claro , Rio Claro -SP , 13506-700 , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"S\u00e3o Paulo State University (UNESP) , Instituto de Geoci\u00eancias e Ci\u00eancias Exatas (IGCE) , Campus Rio Claro , Rio Claro -SP , 13506-700 , Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057176952","display_name":"Hilda A. Cerdeira","orcid":"https://orcid.org/0000-0003-4805-4668","observed_orcids":["https://orcid.org/0000-0003-4805-4668"]},"institutions":[{"id":"https://openalex.org/I4387152090","display_name":"ICTP South American Institute for Fundamental Research","ror":"https://ror.org/0021fvv57","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4387152090"]},{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cerdeira, Hilda A.","raw_affiliation_strings":["ICTP South American Institute for Fundamental Research , Instituto de F\u00edsica Te\u00f3rica (IFT-UNESP) , Bloco II , Rua Dr. Bento Teobaldo Ferraz 271 , Barra Funda , S\u00e3o Paulo , 01140-070 , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTP South American Institute for Fundamental Research , Instituto de F\u00edsica Te\u00f3rica (IFT-UNESP) , Bloco II , Rua Dr. Bento Teobaldo Ferraz 271 , Barra Funda , S\u00e3o Paulo , 01140-070 , Brazil","institution_ids":["https://openalex.org/I4387152090","https://openalex.org/I879563668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006113228","display_name":"Adjimon Vincent Monwanou","orcid":"https://orcid.org/0000-0001-5155-5127","observed_orcids":["https://orcid.org/0000-0001-5155-5127"]},"institutions":[{"id":"https://openalex.org/I4210119417","display_name":"Universit\u00e9 d'Abomey-Calavi","ror":"https://ror.org/03gzr6j88","country_code":"BJ","type":"education","lineage":["https://openalex.org/I4210119417"]},{"id":"https://openalex.org/I4210123509","display_name":"Institute of Mathematics and Physics","ror":"https://ror.org/035seyp42","country_code":"BJ","type":"facility","lineage":["https://openalex.org/I4210123509"]}],"countries":["BJ"],"is_corresponding":false,"raw_author_name":"Monwanou, A. V.","raw_affiliation_strings":["Institut de Math\u00e9matiques et de Sciences Physiques (IMSP) , Universit\u00e9 d'Abomey Calavi (UAC) , Porto-Novo , B\u00e9nin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques et de Sciences Physiques (IMSP) , Universit\u00e9 d'Abomey Calavi (UAC) , Porto-Novo , B\u00e9nin","institution_ids":["https://openalex.org/I4210119417","https://openalex.org/I4210123509"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9990000128746033,"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":0.9990000128746033,"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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":9.999999747378752e-05,"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/T11315","display_name":"Phase-change materials and chalcogenides","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/memristors","display_name":"memristors","score":0.8299999833106995},{"id":"https://openalex.org/keywords/self-heating-effect","display_name":"self-heating","score":0.9639999866485596},{"id":"https://openalex.org/keywords/floquet-multipliers","display_name":"Floquet multipliers","score":0.7699999809265137},{"id":"https://openalex.org/keywords/poincare-map","display_name":"Poincar\u00e9 map","score":0.9129999876022339},{"id":"https://openalex.org/keywords/sobol-sensitivity-analysis","display_name":"Sobol sensitivity analysis","score":0.7559999823570251},{"id":"https://openalex.org/keywords/thermal-resistance","display_name":"thermal resistance","score":0.8769999742507935},{"id":"https://openalex.org/keywords/spice-netlist","display_name":"SPICE netlist","score":0.6600000262260437}],"concepts":[{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.579800009727478},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5274999737739563},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C2777694918","wikidata":"https://www.wikidata.org/wiki/Q11171014","display_name":"Ratchet","level":3,"score":0.43149998784065247},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4244000017642975},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.4043000042438507},{"id":"https://openalex.org/C120398109","wikidata":"https://www.wikidata.org/wiki/Q175751","display_name":"Quantum tunnelling","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C30066665","wikidata":"https://www.wikidata.org/wiki/Q164399","display_name":"Capacitance","level":3,"score":0.38999998569488525},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.35899999737739563},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3573000133037567},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.3357999920845032},{"id":"https://openalex.org/C2780077345","wikidata":"https://www.wikidata.org/wiki/Q16891888","display_name":"Spice","level":2,"score":0.3353999853134155},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C137693562","wikidata":"https://www.wikidata.org/wiki/Q899628","display_name":"Thermal resistance","level":3,"score":0.3091999888420105},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.30790001153945923},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2912999987602234},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.28850001096725464},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C5637370","wikidata":"https://www.wikidata.org/wiki/Q402478","display_name":"Thermal fluctuations","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C49023278","wikidata":"https://www.wikidata.org/wiki/Q5260650","display_name":"Dephasing","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.03057","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03057","pdf_url":"https://arxiv.org/pdf/2609.03057","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2609.03057","doi":"https://doi.org/10.48550/arxiv.2609.03057","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.03057","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.03057","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03057","pdf_url":"https://arxiv.org/pdf/2609.03057","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4699990819","display_name":null,"funder_award_id":"2021/14335-0","funder_id":"https://openalex.org/F4320328436","funder_display_name":"ICTP South American Institute for Fundamental Research"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320328436","display_name":"ICTP South American Institute for Fundamental Research","ror":"https://ror.org/0021fvv57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7208769575.pdf","grobid_xml":"https://content.openalex.org/works/W7208769575.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1964504216","https://openalex.org/W1967037771","https://openalex.org/W1967927080","https://openalex.org/W1975628207","https://openalex.org/W1995363833","https://openalex.org/W2007898123","https://openalex.org/W2013055927","https://openalex.org/W2018258488","https://openalex.org/W2025348560","https://openalex.org/W2045009304","https://openalex.org/W2045197688","https://openalex.org/W2049661927","https://openalex.org/W2059217336","https://openalex.org/W2069717653","https://openalex.org/W2078185678","https://openalex.org/W2080659521","https://openalex.org/W2087963263","https://openalex.org/W2088765131","https://openalex.org/W2101589741","https://openalex.org/W2129871911","https://openalex.org/W2157729981","https://openalex.org/W2292872081","https://openalex.org/W2313154504","https://openalex.org/W2693404307","https://openalex.org/W4327576560"],"related_works":["https://openalex.org/W2508521411","https://openalex.org/W7214223694","https://openalex.org/W2541304610","https://openalex.org/W4396650116","https://openalex.org/W3138922845","https://openalex.org/W7117688566","https://openalex.org/W4389577564","https://openalex.org/W4312614299","https://openalex.org/W3194415438","https://openalex.org/W2125481488"],"abstract_inverted_index":{"Self-heating":[0],"couples":[1],"the":[2,11,27,33,68,82,97,101,121,126,155,159,164,170,175,196,233],"electrical":[3],"and":[4,23,49,96,143,163,211,226],"thermal":[5,165,171,177],"states":[6],"of":[7,17,81,100],"filamentary":[8,237],"memristors.":[9],"However,":[10],"widely":[12,234],"used":[13,235],"Pickett":[14,128,236],"compact":[15],"model":[16],"$TiO_2$":[18],"resistive":[19],"switching":[20,52,197],"is":[21],"isothermal":[22,127],"therefore":[24],"cannot":[25],"capture":[26],"resulting":[28,55,102],"electrothermal":[29,56,89],"dynamics.":[30],"We":[31],"introduce":[32],"Arrhenius-Thermal":[34],"Filamentary":[35],"Model":[36],"(ATFM),":[37],"which":[38,190],"extends":[39],"Pickett's":[40],"tunneling-gap":[41],"kinetics":[42,84],"by":[43,204],"incorporating":[44],"a":[45,59,64,72,86,92,110,116,185,206,212,228],"dynamic":[46],"heat":[47],"balance":[48],"an":[50,136,191],"Arrhenius-activated":[51],"rate.":[53],"The":[54,199],"feedback":[57],"produces":[58],"sharp":[60],"current-gated":[61],"transition:":[62],"below":[63],"critical":[65],"drive":[66],"current,":[67],"tunneling":[69],"gap":[70],"undergoes":[71],"non-returning":[73],"ratchet":[74],"drift,":[75],"whereas":[76],"above":[77],"it,":[78],"exponential":[79],"locking":[80],"filament":[83],"establishes":[85],"bounded,":[87],"drive-locked":[88],"oscillation.":[90],"Using":[91],"stroboscopic":[93],"Poincar\u00e9":[94],"map":[95],"Floquet":[98],"multipliers":[99],"period-$1$":[103],"orbit,":[104],"we":[105],"characterize":[106],"this":[107],"onset":[108],"as":[109,133,158,174],"threshold-like":[111],"orbit":[112],"contraction":[113],"rather":[114,168],"than":[115,169],"classical":[117],"local":[118],"bifurcation.":[119],"In":[120],"limit":[122],"$E_a\\to0$,":[123],"ATFM":[124,217,224],"recovers":[125],"dynamics":[129],"to":[130],"numerical":[131],"precision,":[132],"verified":[134],"against":[135],"independent":[137],"reference":[138],"implementation":[139],"over":[140],"amplitude,":[141],"frequency,":[142],"activation-energy":[144],"sweeps.":[145],"A":[146,179],"variance-based":[147],"Sobol'":[148],"analysis":[149],"with":[150],"bootstrap":[151],"confidence":[152],"intervals":[153],"identifies":[154],"excitation":[156],"amplitude":[157],"dominant":[160],"control":[161],"parameter":[162],"resistance":[166],"$R_{th}$,":[167],"capacitance":[172],"$C_{th}$,":[173],"leading":[176],"contributor.":[178],"geometry-dependent":[180],"temperature":[181],"constraint":[182],"further":[183],"reveals":[184,225],"non-monotonic":[186],"operating":[187],"window":[188],"in":[189],"intermediate":[192],"active":[193],"area":[194],"maximizes":[195],"excursion.":[198],"predicted":[200],"trajectories":[201],"are":[202],"reproduced":[203],"both":[205],"fully":[207],"behavioral":[208],"SPICE":[209],"netlist":[210],"Verilog-A/OSDI":[213],"device":[214],"implementation,":[215],"making":[216],"directly":[218],"suitable":[219],"for":[220],"circuit":[221],"simulation.":[222],"Overall,":[223],"realizes":[227],"self-heating-driven":[229],"dynamical":[230],"regime":[231],"within":[232],"framework.":[238]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-05T00:00:00"}