{"id":"https://openalex.org/W4407704810","doi":"https://doi.org/10.1007/s00332-025-10137-8","title":"Global Bifurcations Organizing Weak Chimeras in Three Symmetrically Coupled Kuramoto Oscillators with Inertia","display_name":"Global Bifurcations Organizing Weak Chimeras in Three Symmetrically Coupled Kuramoto Oscillators with Inertia","publication_year":2025,"publication_date":"2025-02-18","ids":{"openalex":"https://openalex.org/W4407704810","doi":"https://doi.org/10.1007/s00332-025-10137-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-025-10137-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10137-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10137-8.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10137-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075036871","display_name":"Peter Ashwin","orcid":"https://orcid.org/0000-0001-7330-4951"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter Ashwin","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Exeter, Exeter, EX4 4QF, UK"],"raw_orcid":"https://orcid.org/0000-0001-7330-4951","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Exeter, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082238589","display_name":"Christian Bick","orcid":"https://orcid.org/0000-0002-5238-1146"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["DE","GB","NL"],"is_corresponding":false,"raw_author_name":"Christian Bick","raw_affiliation_strings":["Department of Mathematics, University of Exeter, Exeter, EX4 4QF, UK","Department of Mathematics, Vrije Universiteit Amsterdam, DE Boelelaan 1111, Amsterdam, The Netherlands","Institute for Advanced Study, Technical University of Munich, Lichtenbergstr 2, 85748, Garching, Germany","Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0002-5238-1146","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Exeter, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]},{"raw_affiliation_string":"Department of Mathematics, Vrije Universiteit Amsterdam, DE Boelelaan 1111, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"Institute for Advanced Study, Technical University of Munich, Lichtenbergstr 2, 85748, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075036871"],"corresponding_institution_ids":["https://openalex.org/I23923803"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.3517,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78806144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"35","issue":"2","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":0.9998000264167786,"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":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.8865338563919067},{"id":"https://openalex.org/keywords/inertia","display_name":"Inertia","score":0.6795858144760132},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4780895411968231},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4290340542793274},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4284111261367798},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40574511885643005},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32538551092147827},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.26887619495391846},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.25666677951812744},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.23852422833442688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17622870206832886},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16810959577560425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08727478981018066},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06550455093383789}],"concepts":[{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.8865338563919067},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.6795858144760132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4780895411968231},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4290340542793274},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4284111261367798},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40574511885643005},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32538551092147827},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26887619495391846},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25666677951812744},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.23852422833442688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17622870206832886},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16810959577560425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08727478981018066},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06550455093383789},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00332-025-10137-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10137-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10137-8.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:research.vu.nl:openaire/1fec2f8a-ed2f-4a34-9ce9-3da3998f2a63","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/1fec2f8a-ed2f-4a34-9ce9-3da3998f2a63","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"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":"Ashwin, P & Bick, C 2025, 'Global Bifurcations Organizing Weak Chimeras in Three Symmetrically Coupled Kuramoto Oscillators with Inertia', Journal of nonlinear science, vol. 35, no. 2, 45. https://doi.org/10.1007/s00332-025-10137-8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research.vu.nl:openaire_cris_publications/1fec2f8a-ed2f-4a34-9ce9-3da3998f2a63","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/1fec2f8a-ed2f-4a34-9ce9-3da3998f2a63","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"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":"Ashwin, P & Bick, C 2025, 'Global Bifurcations Organizing Weak Chimeras in Three Symmetrically Coupled Kuramoto Oscillators with Inertia', Journal of nonlinear science, vol. 35, no. 2, 45. https://doi.org/10.1007/s00332-025-10137-8","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00332-025-10137-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10137-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10137-8.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7156302826","display_name":"EPSRC Hub for Quantitative Modelling in Healthcare","funder_award_id":"EP/T017856/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8356995930","display_name":null,"funder_award_id":"EP/T017856/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407704810.pdf","grobid_xml":"https://content.openalex.org/works/W4407704810.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W170447982","https://openalex.org/W355012799","https://openalex.org/W1974482435","https://openalex.org/W1977264099","https://openalex.org/W2003666303","https://openalex.org/W2003884541","https://openalex.org/W2040995216","https://openalex.org/W2046238971","https://openalex.org/W2069032592","https://openalex.org/W2072298344","https://openalex.org/W2142001502","https://openalex.org/W2149525340","https://openalex.org/W2219957989","https://openalex.org/W2286130949","https://openalex.org/W2322639792","https://openalex.org/W2500785320","https://openalex.org/W2551862071","https://openalex.org/W2898303372","https://openalex.org/W3100655800","https://openalex.org/W3100698894","https://openalex.org/W3101940296","https://openalex.org/W3102070185","https://openalex.org/W6633640324"],"related_works":["https://openalex.org/W3163395947","https://openalex.org/W4299867368","https://openalex.org/W1989590366","https://openalex.org/W2883218885","https://openalex.org/W2949454199","https://openalex.org/W2736987736","https://openalex.org/W4382061156","https://openalex.org/W4289945060","https://openalex.org/W4391836863","https://openalex.org/W4327669124"],"abstract_inverted_index":{"Abstract":[0],"Frequency":[1],"desynchronized":[2],"attractors":[3],"cannot":[4,16],"appear":[5],"in":[6,75,116],"identically":[7,26],"coupled":[8,27,88],"symmetric":[9],"phase":[10,57],"oscillators":[11,91],"because":[12],"\u201covertaking\"":[13],"of":[14,68,78,109,119,130,144],"phases":[15],"occur.":[17],"This":[18,94,139],"restriction":[19],"no":[20],"longer":[21],"applies":[22],"for":[23,72],"more":[24],"general":[25],"oscillators.":[28],"Hence,":[29],"it":[30,103],"is":[31,39,114,127],"interesting":[32],"to":[33,105,147],"understand":[34],"precisely":[35],"how":[36,42],"frequency":[37],"synchrony":[38],"lost":[40],"and":[41,100],"invariant":[43],"sets":[44],"such":[45],"as":[46],"attracting":[47],"weak":[48,73,148],"chimeras":[49,74],"are":[50],"generated":[51],"at":[52],"torus":[53],"breakup,":[54],"where":[55],"the":[56,117,134],"description":[58],"breaks":[59],"down.":[60],"Maistrenko":[61],"et":[62],"al":[63],"(2016)":[64],"found":[65],"numerical":[66],"evidence":[67],"an":[69],"organizing":[70,98,155],"center":[71,99,156],"a":[76,106,128,141,153,159],"system":[77],"$$N=3$$":[79],"<mml:math":[80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[81],"<mml:mrow>":[82],"<mml:mi>N</mml:mi>":[83],"<mml:mo>=</mml:mo>":[84],"<mml:mn>3</mml:mn>":[85],"</mml:mrow>":[86],"</mml:math>":[87],"identical":[89],"Kuramoto":[90],"with":[92,158],"inertia.":[93],"paper":[95],"identifies":[96],"this":[97,122],"shows":[101],"that":[102,113],"corresponds":[104],"particular":[107],"type":[108],"non-transverse":[110],"heteroclinic":[111,163],"bifurcation":[112,125],"generic":[115],"context":[118],"symmetry.":[120],"At":[121],"codimension":[123,160],"two":[124,161],"there":[126],"splitting":[129],"connecting":[131],"orbits":[132],"between":[133],"in-phase":[135],"(fully":[136],"synchronized)":[137],"state.":[138],"generates":[140],"wide":[142],"variety":[143],"associated":[145,157],"bifurcations":[146],"chimeras.":[149],"We":[150],"further":[151],"highlight":[152],"second":[154],"symmetry-breaking":[162],"connection.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}