{"id":"https://openalex.org/W3183701991","doi":"https://doi.org/10.1137/20m134527x","title":"Reservoir Computing with an Inertial Form","display_name":"Reservoir Computing with an Inertial Form","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3183701991","doi":"https://doi.org/10.1137/20m134527x","mag":"3183701991"},"language":"en","primary_location":{"id":"doi:10.1137/20m134527x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m134527x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5091300315","display_name":"Hirotada Honda","orcid":"https://orcid.org/0000-0001-7726-2146"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hirotada Honda","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091300315"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.14,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54931094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"3","first_page":"1320","last_page":"1347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.987500011920929,"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/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6874767541885376},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6726207137107849},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5855754613876343},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5613634586334229},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5194489359855652},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.502924382686615},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.49858784675598145},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.45721694827079773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4501051604747772},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4418945610523224},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4390740692615509},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.4329758286476135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35625529289245605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34338217973709106},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30022120475769043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1706221103668213},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.15495792031288147},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14526426792144775},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14234665036201477},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07998320460319519},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.07159247994422913}],"concepts":[{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6874767541885376},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6726207137107849},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5855754613876343},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5613634586334229},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5194489359855652},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.502924382686615},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.49858784675598145},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.45721694827079773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4501051604747772},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4418945610523224},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4390740692615509},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.4329758286476135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35625529289245605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34338217973709106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30022120475769043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1706221103668213},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.15495792031288147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14526426792144775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14234665036201477},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07998320460319519},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.07159247994422913},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m134527x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m134527x","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326139","display_name":"Toyo University","ror":"https://ror.org/059d6yn51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W157428252","https://openalex.org/W1518698366","https://openalex.org/W1969211234","https://openalex.org/W1989312953","https://openalex.org/W2019676222","https://openalex.org/W2032587292","https://openalex.org/W2045270235","https://openalex.org/W2054402839","https://openalex.org/W2061906257","https://openalex.org/W2062210787","https://openalex.org/W2064675550","https://openalex.org/W2087831875","https://openalex.org/W2094559589","https://openalex.org/W2094631910","https://openalex.org/W2095377493","https://openalex.org/W2103179919","https://openalex.org/W2107878631","https://openalex.org/W2112246162","https://openalex.org/W2116733726","https://openalex.org/W2118706537","https://openalex.org/W2128084896","https://openalex.org/W2147156056","https://openalex.org/W2147920657","https://openalex.org/W2152945867","https://openalex.org/W2154191582","https://openalex.org/W2535973907","https://openalex.org/W2765128778","https://openalex.org/W2794371820","https://openalex.org/W2887258823","https://openalex.org/W2912275983","https://openalex.org/W2963596672","https://openalex.org/W2978220519","https://openalex.org/W3024515584","https://openalex.org/W3102064482","https://openalex.org/W3105585588","https://openalex.org/W3106288216","https://openalex.org/W4245635145"],"related_works":["https://openalex.org/W110227726","https://openalex.org/W2780226079","https://openalex.org/W4226388829","https://openalex.org/W2070844282","https://openalex.org/W1991835088","https://openalex.org/W1983594265","https://openalex.org/W1491593166","https://openalex.org/W2298939083","https://openalex.org/W1602288242","https://openalex.org/W2006002535"],"abstract_inverted_index":{"We":[0,105],"propose":[1,93],"a":[2,5,13,69,83,94],"framework":[3],"of":[4,54,65,71,110],"reservoir":[6,35,67],"with":[7],"an":[8,77],"inertial":[9,59,78,89],"manifold,":[10,60],"which":[11,98],"is":[12,99],"finite-dimensional":[14,72,84],"object":[15],"that":[16,33,86],"attracts":[17],"all":[18],"trajectories.":[19],"In":[20],"addition,":[21],"based":[22],"on":[23],"the":[24,42,47,52,55,58,63,66,88,107],"theoretical":[25,108],"results":[26],"concerning":[27],"infinite-dimensional":[28],"dynamical":[29],"systems,":[30],"we":[31,61,81,92],"demonstrate":[32],"this":[34],"should":[36],"have":[37],"some":[38],"desirable":[39],"properties":[40],"called":[41,76],"echo":[43],"state":[44],"property":[45],"and":[46],"separation":[48],"property.":[49],"By":[50],"considering":[51],"projection":[53],"system":[56,70],"onto":[57],"describe":[62],"behavior":[64],"as":[68],"ordinary":[73],"differential":[74],"equations":[75],"form.":[79,90],"Next,":[80],"present":[82],"model":[85],"approximates":[87],"Finally,":[91],"temporally":[95],"discretized":[96],"model,":[97],"more":[100],"suitable":[101],"for":[102],"computer":[103],"computation.":[104],"give":[106],"proofs":[109],"our":[111],"theorems":[112],"herein.":[113]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
