{"id":"https://openalex.org/W4401966429","doi":"https://doi.org/10.1142/s0218127424501347","title":"Revealing Hidden Features of Chaotic Systems Using High-Performance Bifurcation Analysis Tools Based on CUDA Technology","display_name":"Revealing Hidden Features of Chaotic Systems Using High-Performance Bifurcation Analysis Tools Based on CUDA Technology","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W4401966429","doi":"https://doi.org/10.1142/s0218127424501347"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424501347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424501347","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5083653740","display_name":"Vyacheslav Rybin","orcid":"https://orcid.org/0000-0002-6515-0224"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vyacheslav Rybin","raw_affiliation_strings":["Youth Research Institute, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation"],"raw_orcid":"https://orcid.org/0000-0002-6515-0224","affiliations":[{"raw_affiliation_string":"Youth Research Institute, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075024454","display_name":"\u0414\u0435\u043d\u0438\u0441 \u0411\u0443\u0442\u0443\u0441\u043e\u0432","orcid":"https://orcid.org/0000-0002-8941-4220"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Denis Butusov","raw_affiliation_strings":["Youth Research Institute, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation"],"raw_orcid":"https://orcid.org/0000-0002-8941-4220","affiliations":[{"raw_affiliation_string":"Youth Research Institute, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017479753","display_name":"Kirill Shirnin","orcid":"https://orcid.org/0009-0002-7000-6136"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Kirill Shirnin","raw_affiliation_strings":["Computer-Aided Design Department, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation"],"raw_orcid":"https://orcid.org/0009-0002-7000-6136","affiliations":[{"raw_affiliation_string":"Computer-Aided Design Department, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033383179","display_name":"Valerii Y. Ostrovskii","orcid":"https://orcid.org/0000-0001-6750-2337"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Valerii Ostrovskii","raw_affiliation_strings":["Computer-Aided Design Department, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation"],"raw_orcid":"https://orcid.org/0000-0001-6750-2337","affiliations":[{"raw_affiliation_string":"Computer-Aided Design Department, Saint-Petersburg Electrotechnical University \u201cLETI\u201d, 5, Professora Popova Street, Saint Petersburg 197376, Russian Federation","institution_ids":["https://openalex.org/I41518628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.756,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.95653157,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"34","issue":"11","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":0.9804999828338623,"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":0.9804999828338623,"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":0.9746000170707703,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9678999781608582,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6753588914871216},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5791229009628296},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5771967768669128},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5704918503761292},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5524507761001587},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.48937124013900757},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.47085922956466675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46378740668296814},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.40936169028282166},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3367151916027069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2491026520729065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2392684519290924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10151833295822144},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08557784557342529}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6753588914871216},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5791229009628296},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5771967768669128},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5704918503761292},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5524507761001587},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.48937124013900757},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.47085922956466675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46378740668296814},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.40936169028282166},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3367151916027069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2491026520729065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2392684519290924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10151833295822144},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08557784557342529},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127424501347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424501347","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G3776023634","display_name":null,"funder_award_id":"23-79-10151","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W637195664","https://openalex.org/W1514384187","https://openalex.org/W1967008192","https://openalex.org/W2018622050","https://openalex.org/W2069436097","https://openalex.org/W2080122216","https://openalex.org/W2119205524","https://openalex.org/W2141394518","https://openalex.org/W2148927104","https://openalex.org/W2478893112","https://openalex.org/W2619381903","https://openalex.org/W2733845127","https://openalex.org/W2740924709","https://openalex.org/W2807738132","https://openalex.org/W2851867480","https://openalex.org/W2886093315","https://openalex.org/W2889508128","https://openalex.org/W2901263295","https://openalex.org/W2952928793","https://openalex.org/W2982585804","https://openalex.org/W2997119641","https://openalex.org/W3007345860","https://openalex.org/W3011054152","https://openalex.org/W3023019250","https://openalex.org/W3046602060","https://openalex.org/W3080930222","https://openalex.org/W3090804403","https://openalex.org/W3114604581","https://openalex.org/W3117403338","https://openalex.org/W3152600402","https://openalex.org/W3154493035","https://openalex.org/W3207899223","https://openalex.org/W4225342681","https://openalex.org/W4226323554","https://openalex.org/W4285582296","https://openalex.org/W4288518781","https://openalex.org/W4307021529","https://openalex.org/W4309532119","https://openalex.org/W4311780877","https://openalex.org/W4315699903","https://openalex.org/W4318823692","https://openalex.org/W4380792462","https://openalex.org/W4387223616","https://openalex.org/W4388741168","https://openalex.org/W4389620644","https://openalex.org/W4390540716","https://openalex.org/W4391404338"],"related_works":["https://openalex.org/W2391540797","https://openalex.org/W168375694","https://openalex.org/W2005355485","https://openalex.org/W1570727143","https://openalex.org/W2703435152","https://openalex.org/W3153461053","https://openalex.org/W2119092717","https://openalex.org/W2063555990","https://openalex.org/W2002820797","https://openalex.org/W2587625811"],"abstract_inverted_index":{"Bifurcation":[0,9],"analysis":[1,52,150],"is":[2,53,106,152],"an":[3,75],"essential":[4],"tool":[5],"in":[6,42,92,154,181],"nonlinear":[7],"dynamics.":[8],"diagrams":[10,34,84],"help":[11],"to":[12,125],"discover":[13],"subtle":[14],"features":[15,115,132],"of":[16,111,121,133,136,142,148],"investigated":[17,153],"dynamics":[18],"such":[19],"as":[20],"chaotic":[21,144],"and":[22,27,59,78,113,164,185],"periodic":[23],"regimes,":[24],"hidden":[25],"attractors":[26],"fixed":[28],"points.":[29],"However,":[30],"plotting":[31,82],"high-resolution":[32],"bifurcation":[33,51,83],"can":[35,61],"be":[36,47,62],"a":[37,54,95,140],"computationally":[38],"challenging":[39],"task,":[40],"especially":[41],"multiparametric":[43],"evaluation.":[44],"It":[45],"should":[46],"noted":[48],"that":[49,174],"the":[50,109,117,131,134,149,169,175],"task":[55],"with":[56,94,123,156],"natural":[57],"parallelism":[58],"thus":[60],"efficiently":[63],"solved":[64],"using":[65,85],"hybrid":[66],"central-graphics":[67],"processing":[68,90,105,162],"architectures.":[69],"In":[70],"this":[71],"paper,":[72],"we":[73],"propose":[74],"advanced":[76],"algorithm":[77,177],"special":[79],"software":[80],"for":[81,116],"calculations":[86],"accelerated":[87],"by":[88],"graphics":[89],"unit":[91,163],"combination":[93],"highly":[96],"efficient":[97],"semi-implicit":[98],"ordinary":[99],"differential":[100],"equation":[101],"solver.":[102],"Time":[103],"series":[104],"based":[107,159],"on":[108,139,160],"extraction":[110],"amplitude":[112],"phase":[114],"density-based":[118],"spatial":[119],"clustering":[120],"applications":[122],"noise":[124],"determine":[126],"oscillation":[127],"periodicity.":[128],"We":[129,171],"showcase":[130],"application":[135],"proposed":[137,176],"solutions":[138,158,180],"set":[141],"test":[143],"systems.":[145],"The":[146],"performance":[147],"algorithms":[151],"comparison":[155],"conventional":[157],"central":[161],"several":[165],"approaches":[166],"known":[167,179],"from":[168],"literature.":[170],"explicitly":[172],"show":[173],"outperforms":[178],"both":[182],"calculation":[183],"speed":[184],"precision.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
