{"id":"https://openalex.org/W7223034516","doi":"https://doi.org/10.48550/arxiv.2610.25164","title":"Increased-Order Generalized Synchronization in Memristive Neurons: Analytical and Data-Driven Approaches","display_name":"Increased-Order Generalized Synchronization in Memristive Neurons: Analytical and Data-Driven Approaches","publication_year":2026,"publication_date":"2026-10-18","ids":{"openalex":"https://openalex.org/W7223034516","doi":"https://doi.org/10.48550/arxiv.2610.25164"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.25164","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25164","pdf_url":"https://arxiv.org/pdf/2610.25164","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/2610.25164","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117265475","display_name":"Dennis Mustafi\u0107","orcid":"https://orcid.org/0009-0003-0772-612X","observed_orcids":["https://orcid.org/0009-0003-0772-612X"]},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mustafi\u0107, Dennis","raw_affiliation_strings":["Department of Data Science , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , N\u00fcrnberger Str. 74 , 91052 Erlangen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Data Science , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , N\u00fcrnberger Str. 74 , 91052 Erlangen , Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051269646","display_name":"Marius E. Yamakou","orcid":"https://orcid.org/0000-0002-2809-1739","observed_orcids":["https://orcid.org/0000-0002-2809-1739"]},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yamakou, Marius E.","raw_affiliation_strings":["Department of Data Science , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , N\u00fcrnberger Str. 74 , 91052 Erlangen , Germany","Department of Mathematics , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , Cauer Str. 11 , 91058 Erlangen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Data Science , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , N\u00fcrnberger Str. 74 , 91052 Erlangen , Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Department of Mathematics , Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg , Cauer Str. 11 , 91058 Erlangen , Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181369854"],"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/T10244","display_name":"Chaos control and synchronization","score":0.8544999957084656,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.8544999957084656,"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":0.09560000151395798,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.013000000268220901,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-synchronization","display_name":"generalized synchronization","score":0.8410000205039978},{"id":"https://openalex.org/keywords/memristive-neuron","display_name":"memristive neuron","score":0.8420000076293945},{"id":"https://openalex.org/keywords/hindmarsh-rose-neuron-model","display_name":"Hindmarsh-Rose model","score":0.8840000033378601},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"adaptive control","score":0.8560000061988831},{"id":"https://openalex.org/keywords/lyapunov-analysis","display_name":"Lyapunov analysis","score":0.8880000114440918},{"id":"https://openalex.org/keywords/dissipativity","display_name":"dissipativity","score":0.8519999980926514},{"id":"https://openalex.org/keywords/reservoir-computing","display_name":"reservoir computing","score":0.8870000243186951},{"id":"https://openalex.org/keywords/sampled-data-control","display_name":"sampled-data control","score":0.8960000276565552},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"nonlinear dynamical systems","score":0.44200000166893005}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7330999970436096},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7289000153541565},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6711999773979187},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.6319000124931335},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5882999897003174},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5336999893188477},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.489300012588501},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.46309998631477356},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.46209999918937683},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46140000224113464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4537000060081482},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.39750000834465027},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.39730000495910645},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3160000145435333},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2574999928474426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.25164","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25164","pdf_url":"https://arxiv.org/pdf/2610.25164","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.2610.25164","doi":"https://doi.org/10.48550/arxiv.2610.25164","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.25164","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:2610.25164","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25164","pdf_url":"https://arxiv.org/pdf/2610.25164","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/G1362311050","display_name":null,"funder_award_id":"YA 764/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G409720880","display_name":"Optimierung von rauschinduzierten Resonanzmechanismen auf koevolution\u00e4ren neurobiologischen Netzwerken","funder_award_id":"456989199","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320873","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223034516.pdf","grobid_xml":"https://content.openalex.org/works/W7223034516.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1162378864","https://openalex.org/W1799428247","https://openalex.org/W1966397821","https://openalex.org/W1966789810","https://openalex.org/W1968498182","https://openalex.org/W1970442252","https://openalex.org/W2000359198","https://openalex.org/W2002429132","https://openalex.org/W2019491139","https://openalex.org/W2032753071","https://openalex.org/W2039627263","https://openalex.org/W2054402839","https://openalex.org/W2131241448","https://openalex.org/W2163057446","https://openalex.org/W2276412285","https://openalex.org/W2605288757","https://openalex.org/W3003257820","https://openalex.org/W3148603741","https://openalex.org/W3170977978","https://openalex.org/W4286695273","https://openalex.org/W4286781802","https://openalex.org/W4387343609","https://openalex.org/W4387610443","https://openalex.org/W4391480652","https://openalex.org/W4396750672","https://openalex.org/W4416290864","https://openalex.org/W6912826128"],"related_works":["https://openalex.org/W4405835243","https://openalex.org/W2787289880","https://openalex.org/W617973251","https://openalex.org/W7217740501","https://openalex.org/W2038348996","https://openalex.org/W4416998885","https://openalex.org/W2344570556","https://openalex.org/W317313152","https://openalex.org/W2963471867","https://openalex.org/W2081977391"],"abstract_inverted_index":{"We":[0],"investigate":[1],"increased-order":[2],"generalized":[3],"synchronization":[4,20,47,91],"between":[5],"four-":[6],"and":[7,16,52,88,142],"five-dimensional":[8],"memristive":[9,35],"Hindmarsh--Rose":[10],"neurons,":[11],"focusing":[12],"on":[13],"the":[14,19,34,40,69,108,117,120],"selection":[15,137],"stabilization":[17],"of":[18],"map.":[21],"An":[22],"analytical":[23],"construction":[24,76],"combines":[25],"a":[26,54,113],"prescribed":[27],"nonlinear":[28],"map":[29,92,115,122],"with":[30,138],"adaptive":[31],"control,":[32],"retaining":[33],"switching":[36],"contribution":[37],"explicitly":[38],"in":[39],"error":[41,61,66],"dynamics.":[42],"Lyapunov":[43],"analysis":[44],"establishes":[45],"asymptotic":[46],"under":[48],"uniform":[49],"strict":[50],"dissipativity":[51],"yields":[53],"switching-independent":[55],"decrease":[56],"estimate":[57],"outside":[58],"an":[59,89],"explicit":[60],"neighborhood.":[62],"Numerical":[63],"simulations":[64],"exhibit":[65],"decay":[67],"beyond":[68],"sufficient":[70],"convergence":[71,140],"conditions.":[72],"A":[73],"complementary":[74],"data-driven":[75,118],"uses":[77],"next-generation":[78],"reservoir":[79],"computing":[80],"to":[81,107,112],"learn":[82],"predictors":[83],"from":[84],"uncoupled":[85],"full-state":[86],"trajectories":[87],"affine":[90],"through":[93],"dynamical":[94],"consistency.":[95],"The":[96],"resulting":[97],"sampled-data":[98],"controller":[99],"achieves":[100],"small":[101],"residual":[102],"tracking":[103,131],"errors":[104],"without":[105],"access":[106],"governing":[109],"equations.":[110],"Relative":[111],"reference":[114],"within":[116],"framework,":[119],"learned":[121],"reduces":[123],"median":[124],"control":[125,144],"effort":[126],"approximately":[127],"eightfold":[128],"while":[129],"improving":[130],"accuracy.":[132],"These":[133],"results":[134],"connect":[135],"synchronization-map":[136],"conditional":[139],"guarantees":[141],"reduced":[143],"requirements.":[145]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-21T00:00:00"}
