{"id":"https://openalex.org/W7131663102","doi":"https://doi.org/10.1007/s11071-025-12178-w","title":"Can noise help create order? The constructive role of L\u00e9vy noise in neural networks","display_name":"Can noise help create order? The constructive role of L\u00e9vy noise in neural networks","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7131663102","doi":"https://doi.org/10.1007/s11071-025-12178-w"},"language":"en","primary_location":{"id":"doi:10.1007/s11071-025-12178-w","doi":"https://doi.org/10.1007/s11071-025-12178-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-025-12178-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-025-12178-w.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7131663102"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11071-025-12178-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077769110","display_name":"\u0420\u044b\u0431\u0430\u043b\u043e\u0432\u0430 \u0415\u043b\u0435\u043d\u0430 \u0412\u043b\u0430\u0434\u0438\u0441\u043b\u0430\u0432\u043e\u0432\u043d\u0430","orcid":"https://orcid.org/0000-0003-3008-1078","observed_orcids":["https://orcid.org/0000-0003-3008-1078"]},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Elena Rybalova","raw_affiliation_strings":["Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005847629","display_name":"Nataliya N. Nikishina","orcid":"https://orcid.org/0009-0005-3756-0479","observed_orcids":["https://orcid.org/0009-0005-3756-0479"]},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nataliya Nikishina","raw_affiliation_strings":["Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006680723","display_name":"Galina Ivanovna Strelkova","orcid":"https://orcid.org/0000-0002-8667-2742","observed_orcids":["https://orcid.org/0000-0002-8667-2742"]},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Galina Strelkova","raw_affiliation_strings":["Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Saratov State University, 83 Astrakhanskaya st., Saratov, 410012, Saratov region, Russia","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101751074","display_name":"Balakumar Balachandran","orcid":"https://orcid.org/0000-0002-3132-1937","observed_orcids":["https://orcid.org/0000-0002-3132-1937"]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Balakumar Balachandran","raw_affiliation_strings":["Department of Mechanical Engineering, University of Maryland, 4298 Campus Dr, College Park, 20742, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Maryland, 4298 Campus Dr, College Park, 20742, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077769110"],"corresponding_institution_ids":["https://openalex.org/I125219893"],"apc_list":{"value":4790,"currency":"USD","value_usd":4790},"apc_paid":{"value":4790,"currency":"USD","value_usd":4790},"fwci":3.0858,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8833925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"114","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.7817000150680542,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.7817000150680542,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.20749999582767487,"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/T10581","display_name":"Neural dynamics and brain function","score":0.00559999980032444,"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/levy-noise","display_name":"L\u00e9vy noise","score":0.9990000128746033},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.6179999709129333},{"id":"https://openalex.org/keywords/fitzhugh-nagumo-oscillators","display_name":"FitzHugh-Nagumo oscillators","score":0.9169999957084656},{"id":"https://openalex.org/keywords/chimera-states","display_name":"chimera states","score":0.9750000238418579},{"id":"https://openalex.org/keywords/multistability","display_name":"multistability","score":0.8610000014305115},{"id":"https://openalex.org/keywords/solitary-states","display_name":"solitary states","score":0.8510000109672546},{"id":"https://openalex.org/keywords/noise-induced-order","display_name":"noise-induced order","score":0.5529999732971191},{"id":"https://openalex.org/keywords/entropy-information-theory","display_name":"entropy (information theory)","score":0.46399998664855957},{"id":"https://openalex.org/keywords/basins-of-attraction","display_name":"basins of attraction","score":0.9810000061988831},{"id":"https://openalex.org/keywords/additive-noise","display_name":"additive noise","score":0.6050000190734863},{"id":"https://openalex.org/keywords/brain-dynamics","display_name":"brain dynamics","score":0.6690000295639038}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7217000126838684},{"id":"https://openalex.org/C101097943","wikidata":"https://www.wikidata.org/wiki/Q5176983","display_name":"Counterintuitive","level":2,"score":0.7038000226020813},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6693000197410583},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.660099983215332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5078999996185303},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.46549999713897705},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4652999937534332},{"id":"https://openalex.org/C2986949344","wikidata":"https://www.wikidata.org/wiki/Q9404","display_name":"Neural system","level":2,"score":0.4237000048160553},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.382099986076355},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.3359000086784363},{"id":"https://openalex.org/C2986577269","wikidata":"https://www.wikidata.org/wiki/Q11306265","display_name":"Random noise","level":2,"score":0.32820001244544983},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3255999982357025},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.2962999939918518},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C2984485829","wikidata":"https://www.wikidata.org/wiki/Q100766421","display_name":"Noise level","level":3,"score":0.28790000081062317},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.2743000090122223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26980000734329224},{"id":"https://openalex.org/C2909457774","wikidata":"https://www.wikidata.org/wiki/Q4117845","display_name":"Noise effects","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2531000077724457},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11071-025-12178-w","doi":"https://doi.org/10.1007/s11071-025-12178-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-025-12178-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-025-12178-w.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},{"id":"doi:10.21203/rs.3.rs-7642178/v1","doi":"https://doi.org/10.21203/rs.3.rs-7642178/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-7642178/v1","pdf_url":"https://www.researchsquare.com/article/rs-7642178/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Research Square","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.1007/s11071-025-12178-w","doi":"https://doi.org/10.1007/s11071-025-12178-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-025-12178-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-025-12178-w.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7049408163","display_name":null,"funder_award_id":"23-72-10040","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7131663102.pdf","grobid_xml":"https://content.openalex.org/works/W7131663102.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W1503821141","https://openalex.org/W1550746551","https://openalex.org/W1834763371","https://openalex.org/W1864407449","https://openalex.org/W1902335101","https://openalex.org/W1965762557","https://openalex.org/W1972100964","https://openalex.org/W1980480824","https://openalex.org/W1987786737","https://openalex.org/W1989511823","https://openalex.org/W1996168755","https://openalex.org/W1998794714","https://openalex.org/W2002321527","https://openalex.org/W2003766373","https://openalex.org/W2009375605","https://openalex.org/W2015326547","https://openalex.org/W2021014344","https://openalex.org/W2023091089","https://openalex.org/W2029034284","https://openalex.org/W2032407678","https://openalex.org/W2033770904","https://openalex.org/W2041543108","https://openalex.org/W2046833580","https://openalex.org/W2047833554","https://openalex.org/W2048548550","https://openalex.org/W2061002342","https://openalex.org/W2061191702","https://openalex.org/W2063737134","https://openalex.org/W2065096279","https://openalex.org/W2067823036","https://openalex.org/W2072292615","https://openalex.org/W2084296307","https://openalex.org/W2096010313","https://openalex.org/W2101295242","https://openalex.org/W2122803078","https://openalex.org/W2126117350","https://openalex.org/W2131215403","https://openalex.org/W2142875089","https://openalex.org/W2154000159","https://openalex.org/W2156892329","https://openalex.org/W2157586156","https://openalex.org/W2165443127","https://openalex.org/W2212571243","https://openalex.org/W2253922750","https://openalex.org/W2289554056","https://openalex.org/W2326962874","https://openalex.org/W2438512574","https://openalex.org/W2809239960","https://openalex.org/W2955055926","https://openalex.org/W2961637526","https://openalex.org/W2965783989","https://openalex.org/W2966911923","https://openalex.org/W2997540572","https://openalex.org/W3018692113","https://openalex.org/W3033884792","https://openalex.org/W3086560302","https://openalex.org/W3133858943","https://openalex.org/W3146813687","https://openalex.org/W3162369609","https://openalex.org/W4220846513","https://openalex.org/W4221155293","https://openalex.org/W4225425529","https://openalex.org/W4226099035","https://openalex.org/W4283462694","https://openalex.org/W4292339504","https://openalex.org/W4296554325","https://openalex.org/W4391014738","https://openalex.org/W4394994960","https://openalex.org/W4398194355","https://openalex.org/W4400231487","https://openalex.org/W4404891027","https://openalex.org/W4412775615"],"related_works":["https://openalex.org/W4394994960","https://openalex.org/W4390049724","https://openalex.org/W2123479110","https://openalex.org/W2809239960","https://openalex.org/W4412775615","https://openalex.org/W7167914683","https://openalex.org/W2059657417","https://openalex.org/W4414229810","https://openalex.org/W4416091745","https://openalex.org/W2079166245"],"abstract_inverted_index":{"In":[0],"this":[1,22],"paper,":[2],"we":[3],"investigate":[4],"the":[5,28,36,51,59,62,73,81,89,92,97,106,113,130,133,140,149,156,165],"dynamics":[6,135,157],"of":[7,10,21,30,75,83,100,115,122,152,158],"a":[8],"network":[9,24,109,160],"non-locally":[11],"coupled":[12],"FitzHugh\u2013Nagumo":[13],"oscillators":[14],"influenced":[15],"by":[16,53],"L\u00e9vy":[17,141],"noise.":[18],"The":[19,144],"behavior":[20],"neural":[23,107,159],"is":[25,66,102],"examined":[26],"in":[27,91,104,139,154,164],"regimes":[29],"solitary":[31,55,125],"states":[32,78],"and":[33,57],"multi-stability,":[34],"as":[35],"random":[37],"noise":[38,46,70,101,116,142,153],"parameters":[39],"are":[40],"varied.":[41],"Our":[42],"findings":[43,145],"reveal":[44],"that":[45,68],"can":[47,71],"enhance":[48],"order":[49,90],"within":[50],"system":[52,134],"suppressing":[54],"nodes":[56],"increasing":[58],"correlation":[60],"amongst":[61],"oscillators.":[63],"Furthermore,":[64],"it":[65],"discovered":[67],"additive":[69],"increase":[72],"probability":[74],"establishing":[76],"chimera":[77],"while":[79],"reducing":[80],"likelihood":[82],"other":[84],"regimes,":[85],"thereby":[86],"further":[87],"enhancing":[88],"system.":[93],"Through":[94],"these":[95],"findings,":[96],"counterintuitive":[98],"effect":[99],"demonstrated,":[103],"which":[105],"oscillator":[108],"entropy":[110],"decreases":[111],"despite":[112],"introduction":[114],"fluctuations.":[117],"We":[118],"also":[119],"construct":[120],"basins":[121],"attraction":[123],"for":[124,148],"states,":[126],"to":[127,137],"help":[128],"understand":[129],"effects":[131],"on":[132],"due":[136],"changes":[138],"parameters.":[143],"have":[146],"implications":[147],"constructive":[150],"use":[151],"influencing":[155],"systems,":[161],"including":[162],"those":[163],"brain.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-02-27T00:00:00"}