{"id":"https://openalex.org/W2604881096","doi":"https://doi.org/10.1007/s12559-017-9464-6","title":"An Investigation of the Dynamical Transitions in Harmonically Driven Random Networks of Firing-Rate Neurons","display_name":"An Investigation of the Dynamical Transitions in Harmonically Driven Random Networks of Firing-Rate Neurons","publication_year":2017,"publication_date":"2017-04-06","ids":{"openalex":"https://openalex.org/W2604881096","doi":"https://doi.org/10.1007/s12559-017-9464-6","mag":"2604881096","pmid":"https://pubmed.ncbi.nlm.nih.gov/28680506"},"language":"en","primary_location":{"id":"doi:10.1007/s12559-017-9464-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12559-017-9464-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs12559-017-9464-6.pdf","source":{"id":"https://openalex.org/S133078663","display_name":"Cognitive Computation","issn_l":"1866-9956","issn":["1866-9956","1866-9964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cognitive Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs12559-017-9464-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031530748","display_name":"Kyriacos Nikiforou","orcid":"https://orcid.org/0000-0002-1504-5725"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kyriacos Nikiforou","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074280948","display_name":"Pedro A. M. Mediano","orcid":"https://orcid.org/0000-0003-1789-5894"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pedro A. M. Mediano","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072322524","display_name":"Murray Shanahan","orcid":"https://orcid.org/0000-0001-5984-2964"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Murray Shanahan","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031530748"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2790},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2790},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03211322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"351","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9991000294685364,"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/T10320","display_name":"Neural Networks and Applications","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8123955726623535},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.805109441280365},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5683486461639404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5442599654197693},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5331740975379944},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.5294201970100403},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.352629691362381},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3363332152366638},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2641358971595764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11181363463401794}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8123955726623535},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.805109441280365},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5683486461639404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5442599654197693},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5331740975379944},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.5294201970100403},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.352629691362381},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3363332152366638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2641358971595764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11181363463401794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s12559-017-9464-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12559-017-9464-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs12559-017-9464-6.pdf","source":{"id":"https://openalex.org/S133078663","display_name":"Cognitive Computation","issn_l":"1866-9956","issn":["1866-9956","1866-9964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cognitive Computation","raw_type":"journal-article"},{"id":"pmid:28680506","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28680506","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":"Cognitive computation","raw_type":null},{"id":"pmh:oai:europepmc.org:4342473","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5487873","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"Text"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/51620","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/51620","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"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":"363","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1007/s12559-017-9464-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12559-017-9464-6","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs12559-017-9464-6.pdf","source":{"id":"https://openalex.org/S133078663","display_name":"Cognitive Computation","issn_l":"1866-9956","issn":["1866-9956","1866-9964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cognitive Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320283","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2604881096.pdf","grobid_xml":"https://content.openalex.org/works/W2604881096.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W857250184","https://openalex.org/W1549386224","https://openalex.org/W1661597557","https://openalex.org/W1663973292","https://openalex.org/W1969816573","https://openalex.org/W1974803102","https://openalex.org/W1980324747","https://openalex.org/W1983611358","https://openalex.org/W1995764737","https://openalex.org/W2003755170","https://openalex.org/W2016354087","https://openalex.org/W2018672845","https://openalex.org/W2027802883","https://openalex.org/W2034936723","https://openalex.org/W2042907834","https://openalex.org/W2047125104","https://openalex.org/W2058580716","https://openalex.org/W2058728403","https://openalex.org/W2066198226","https://openalex.org/W2090722674","https://openalex.org/W2110387210","https://openalex.org/W2111044115","https://openalex.org/W2121409298","https://openalex.org/W2128084896","https://openalex.org/W2143970285","https://openalex.org/W2156167010","https://openalex.org/W2157072490","https://openalex.org/W2165150869","https://openalex.org/W2168248818","https://openalex.org/W2173362524","https://openalex.org/W2240970145","https://openalex.org/W2414006382","https://openalex.org/W2489691424","https://openalex.org/W2504237986","https://openalex.org/W2514803758","https://openalex.org/W2553056897","https://openalex.org/W3105747146","https://openalex.org/W4212863985"],"related_works":["https://openalex.org/W3049714198","https://openalex.org/W2960434112","https://openalex.org/W2036805113","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2123827981","https://openalex.org/W4205994410","https://openalex.org/W1499880030","https://openalex.org/W34461864","https://openalex.org/W2181936729"],"abstract_inverted_index":{"Continuous-time":[0],"recurrent":[1],"neural":[2,10,235],"networks":[3,46,102,119,236],"are":[4,22,30],"widely":[5],"used":[6],"as":[7,76],"models":[8],"of":[9,42,62,72,79,82,100,109,128,152,158,164,177,201,211,230,234,242],"dynamics":[11,21,99,155,244],"and":[12,44,65,68,96,117,216],"also":[13],"have":[14],"applications":[15],"in":[16,103,114,123,149,156,160,184],"machine":[17],"learning.":[18],"But":[19],"their":[20,243],"not":[23],"yet":[24],"well":[25],"understood,":[26],"especially":[27],"when":[28],"they":[29],"driven":[31],"by":[32,52,168,237],"external":[33],"stimuli.":[34],"In":[35],"this":[36,83,231],"article,":[37],"we":[38,86,173],"study":[39],"the":[40,57,60,63,66,70,73,80,93,107,131,139,150,161,175,195,239],"response":[41],"stable":[43,116],"unstable":[45,118,185],"to":[47,105,226],"different":[48,246],"harmonically":[49],"oscillating":[50],"stimuli":[51],"varying":[53],"a":[54,88,121,135,143,153,199,209,227],"parameter":[55],"<i>\u03c1</i>,":[56,129],"ratio":[58],"between":[59],"timescale":[61],"network":[64,196],"stimulus,":[67],"use":[69],"dimensionality":[71,124,137,151],"network's":[74,154],"attractor":[75],"an":[77],"estimate":[78],"complexity":[81],"response.":[84],"Additionally,":[85],"propose":[87],"novel":[89],"technique":[90,193],"for":[91,125],"exploring":[92],"stationary":[94,170],"points":[95],"locally":[97],"linear":[98],"these":[101],"order":[104],"understand":[106],"origin":[108],"input-dependent":[110],"dynamical":[111],"transitions.":[112],"Attractors":[113],"both":[115],"show":[120],"peak":[122],"intermediate":[126],"values":[127],"with":[130,180,204],"latter":[132],"consistently":[133],"showing":[134],"higher":[136],"than":[138],"former,":[140],"which":[141],"exhibit":[142],"resonance-like":[144],"phenomenon.":[145],"We":[146],"explain":[147],"changes":[148,159],"terms":[157],"underlying":[162,178],"structure":[163,241],"its":[165,205],"vector":[166],"field":[167],"analysing":[169],"points.":[171],"Furthermore,":[172],"uncover":[174],"coexistence":[176],"attractors":[179],"various":[181],"geometric":[182],"forms":[183],"networks.":[186],"As":[187],"<i>\u03c1</i>":[188],"is":[189],"increased,":[190],"our":[191],"visualisation":[192],"shows":[194],"passing":[197],"through":[198],"series":[200],"phase":[202],"transitions":[203],"trajectory":[206],"taking":[207],"on":[208],"sequence":[210],"qualitatively":[212],"distinct":[213],"figure-of-eight,":[214],"cylinder,":[215],"spiral":[217],"shapes.":[218],"These":[219],"findings":[220],"bring":[221],"us":[222],"one":[223],"step":[224],"closer":[225],"comprehensive":[228],"theory":[229],"important":[232],"class":[233],"revealing":[238],"subtle":[240],"under":[245],"conditions.":[247]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}