{"id":"https://openalex.org/W4283808189","doi":"https://doi.org/10.1137/21m1458971","title":"Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay","display_name":"Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay","publication_year":2022,"publication_date":"2022-07-05","ids":{"openalex":"https://openalex.org/W4283808189","doi":"https://doi.org/10.1137/21m1458971"},"language":"en","primary_location":{"id":"doi:10.1137/21m1458971","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1458971","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":true,"oa_status":"green","oa_url":"https://cris.maastrichtuniversity.nl/en/publications/8462cde7-3d30-435c-9f87-cd2771682537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056784448","display_name":"Matthias Wolfrum","orcid":"https://orcid.org/0000-0002-4278-2675"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]},{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","NL"],"is_corresponding":true,"raw_author_name":"Matthias Wolfrum","raw_affiliation_strings":["\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany","\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands","\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4278-2675","affiliations":[{"raw_affiliation_string":"\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062479318","display_name":"Serhiy Yanchuk","orcid":"https://orcid.org/0000-0003-1628-9569"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]},{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Serhiy Yanchuk","raw_affiliation_strings":["\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany","\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands","\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]},{"raw_affiliation_string":"\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090933595","display_name":"Otti D\u2019Huys","orcid":"https://orcid.org/0000-0001-7498-6771"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]},{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Otti D'Huys","raw_affiliation_strings":["\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany","\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany","\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]},{"raw_affiliation_string":"\\ddagger Technische Universit\\\" at Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"\\S Department of Data Science and Knowledge Engineering, Maastricht University, 6211 LK Maastricht, the Netherlands","institution_ids":["https://openalex.org/I34352273"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056784448"],"corresponding_institution_ids":["https://openalex.org/I34352273","https://openalex.org/I4210092021","https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":0.5703,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67566211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"3","first_page":"1709","last_page":"1725"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.977400004863739,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9677000045776367,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5991564989089966},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5936338901519775},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.5852240920066833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.57267165184021},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5448725819587708},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5116255879402161},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5036041140556335},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.48393112421035767},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47916093468666077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36632826924324036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2846037745475769},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2275749146938324},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19024962186813354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16317465901374817},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1085091233253479}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5991564989089966},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5936338901519775},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.5852240920066833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.57267165184021},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5448725819587708},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5116255879402161},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5036041140556335},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48393112421035767},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47916093468666077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36632826924324036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2846037745475769},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2275749146938324},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19024962186813354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16317465901374817},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1085091233253479},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/21m1458971","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1458971","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"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/8462cde7-3d30-435c-9f87-cd2771682537","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/8462cde7-3d30-435c-9f87-cd2771682537","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wolfrum, M, Yanchuk, S & D'Huys, O 2022, 'Multiple Self-Locking in the Kuramoto-Sakaguchi System with Delay', Siam Journal on Applied Dynamical Systems, vol. 21, no. 3, pp. 1709-1725. https://doi.org/10.1137/21M1458971","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:doi:10.20347/wias.preprint.2890","is_oa":false,"landing_page_url":"http://localhost:8291/receive/wias_mods_00006885","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"preprint"}],"best_oa_location":{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/8462cde7-3d30-435c-9f87-cd2771682537","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/8462cde7-3d30-435c-9f87-cd2771682537","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wolfrum, M, Yanchuk, S & D'Huys, O 2022, 'Multiple Self-Locking in the Kuramoto-Sakaguchi System with Delay', Siam Journal on Applied Dynamical Systems, vol. 21, no. 3, pp. 1709-1725. https://doi.org/10.1137/21M1458971","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2109333053","display_name":null,"funder_award_id":"163436311","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G2828200762","display_name":"International Mobility and Training in Photonics Programme","funder_award_id":"713694","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G653012201","display_name":null,"funder_award_id":"713694","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7615232522","display_name":null,"funder_award_id":"411803875","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W950991549","https://openalex.org/W1976485125","https://openalex.org/W1978756902","https://openalex.org/W1979977245","https://openalex.org/W1982438713","https://openalex.org/W1996106850","https://openalex.org/W2006057746","https://openalex.org/W2009465849","https://openalex.org/W2022904439","https://openalex.org/W2039361357","https://openalex.org/W2066545822","https://openalex.org/W2070879703","https://openalex.org/W2081389170","https://openalex.org/W2086365693","https://openalex.org/W2091567533","https://openalex.org/W2127140247","https://openalex.org/W2132434872","https://openalex.org/W2137011893","https://openalex.org/W2317348064","https://openalex.org/W2320292641","https://openalex.org/W2470945791","https://openalex.org/W2586258431","https://openalex.org/W2769478982","https://openalex.org/W2888947713","https://openalex.org/W2912307378","https://openalex.org/W2952988860","https://openalex.org/W2963305468","https://openalex.org/W2963998014","https://openalex.org/W2980237953","https://openalex.org/W3098677603","https://openalex.org/W3101571838","https://openalex.org/W4214617048"],"related_works":["https://openalex.org/W3118528670","https://openalex.org/W3114806004","https://openalex.org/W2969606317","https://openalex.org/W2143532446","https://openalex.org/W2757394160","https://openalex.org/W4229005303","https://openalex.org/W2779693104","https://openalex.org/W2069173628","https://openalex.org/W3128285507","https://openalex.org/W3125812129"],"abstract_inverted_index":{"We":[0,105],"study":[1],"the":[2,15,21,29,32,42,50,65,108,111,123,126,131,145,151],"Kuramoto--Sakaguchi":[3],"system":[4],"of":[5,17,34,44,102,110],"phase":[6,113],"oscillators":[7],"with":[8,83,122],"a":[9,75,97,100],"delayed":[10],"mean-field":[11],"coupling.":[12],"By":[13],"applying":[14],"theory":[16],"large":[18,143],"delay":[19,124],"to":[20,89,130,136],"corresponding":[22],"Ott--Antonsen":[23],"equation,":[24],"we":[25],"explain":[26],"fully":[27],"analytically":[28],"mechanisms":[30],"for":[31,71],"appearance":[33],"multiple":[35],"coexisting":[36],"partially":[37,59,80],"locked":[38,60,81],"states.":[39],"Closely":[40],"above":[41],"onset":[43],"synchronization,":[45],"these":[46],"states":[47,61,82],"emerge":[48,90],"in":[49],"Eckhaus":[51],"scenario:":[52],"With":[53],"increasing":[54],"coupling,":[55],"more":[56,58],"and":[57,68,92,99],"appear":[62],"unstable":[63],"from":[64],"incoherent":[66],"state":[67],"gain":[69,93],"stability":[70,77,94],"larger":[72],"coupling":[73],"at":[74],"modulational":[76],"boundary.":[78],"The":[79],"strongly":[84],"detuned":[85],"frequencies":[86],"are":[87],"shown":[88],"subcritical":[91,139],"only":[95],"after":[96],"fold":[98],"series":[101],"Hopf":[103],"bifurcations.":[104],"also":[106],"discuss":[107],"role":[109],"Sakaguchi":[112,146],"lag":[114],"parameter.":[115],"For":[116,142],"small":[117],"delays,":[118],"it":[119],"determines,":[120],"together":[121],"time,":[125],"attraction":[127],"or":[128,138],"repulsion":[129],"central":[132],"frequency,":[133],"which":[134],"leads":[135],"supercritical":[137],"behavior,":[140],"respectively.":[141],"delay,":[144],"parameter":[147],"does":[148],"not":[149],"influence":[150],"global":[152],"dynamical":[153],"scenario.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}