{"id":"https://openalex.org/W7212852286","doi":"https://doi.org/10.48550/arxiv.2609.12246","title":"Variability in a Model of Divergent and Convergent Coupled Ice Streams: Synchronisation, Transients and Chaos","display_name":"Variability in a Model of Divergent and Convergent Coupled Ice Streams: Synchronisation, Transients and Chaos","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212852286","doi":"https://doi.org/10.48550/arxiv.2609.12246"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.12246","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12246","pdf_url":"https://arxiv.org/pdf/2609.12246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.12246","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151679879","display_name":"Joshua Grimstead","orcid":null,"observed_orcids":[]},"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":false,"raw_author_name":"Grimstead, Joshua","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Exeter , Exeter , U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Exeter , Exeter , U.K","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075036871","display_name":"Peter Ashwin","orcid":"https://orcid.org/0000-0001-7330-4951","observed_orcids":["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":false,"raw_author_name":"Ashwin, Peter","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Exeter , Exeter , U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Exeter , Exeter , U.K","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033750870","display_name":"Tanja I. Schindler","orcid":"https://orcid.org/0000-0002-9056-8884","observed_orcids":["https://orcid.org/0000-0002-9056-8884"]},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"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","PL"],"is_corresponding":false,"raw_author_name":"Schindler, Tanja I.","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Exeter , Exeter , U.K","Faculty of Mathematics and Computer Science , Jagiellonian University , ul. Lojasiewicza 6 , 30-348 Krakow , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Exeter , Exeter , U.K","institution_ids":["https://openalex.org/I23923803"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science , Jagiellonian University , ul. Lojasiewicza 6 , 30-348 Krakow , Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10644","display_name":"Cryospheric studies and observations","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10644","display_name":"Cryospheric studies and observations","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.00139999995008111,"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/T10017","display_name":"Geology and Paleoclimatology Research","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ice-streams","display_name":"ice streams","score":0.9829999804496765},{"id":"https://openalex.org/keywords/frequency-locking","display_name":"frequency locking","score":0.492000013589859},{"id":"https://openalex.org/keywords/arnold-tongues","display_name":"Arnold tongues","score":0.9819999933242798},{"id":"https://openalex.org/keywords/torus-breakdown","display_name":"torus breakdown","score":0.9750000238418579},{"id":"https://openalex.org/keywords/bifurcation-analysis","display_name":"bifurcation analysis","score":0.7250000238418579},{"id":"https://openalex.org/keywords/poincare-sections","display_name":"Poincar\u00e9 sections","score":0.9629999995231628},{"id":"https://openalex.org/keywords/volume-conservation","display_name":"volume conservation","score":0.6480000019073486},{"id":"https://openalex.org/keywords/mass-balance","display_name":"mass balance","score":0.7170000076293945},{"id":"https://openalex.org/keywords/thermomechanical-coupling","display_name":"thermo-mechanical coupling","score":0.8230000138282776},{"id":"https://openalex.org/keywords/basal-lubrication","display_name":"basal lubrication","score":0.6740000247955322},{"id":"https://openalex.org/keywords/ice-sheet-mass-loss","display_name":"ice sheet mass loss","score":0.6140000224113464}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6732000112533569},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6284000277519226},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5169000029563904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4708999991416931},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.46869999170303345},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4657000005245209},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.43790000677108765},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41780000925064087},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.41780000925064087},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3513999879360199},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33340001106262207},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.31119999289512634},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.28769999742507935},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27480000257492065},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2734000086784363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2637999951839447},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.26080000400543213}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.12246","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12246","pdf_url":"https://arxiv.org/pdf/2609.12246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.12246","doi":"https://doi.org/10.48550/arxiv.2609.12246","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.12246","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.12246","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12246","pdf_url":"https://arxiv.org/pdf/2609.12246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6287184903","display_name":null,"funder_award_id":"101184070","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G6667963079","display_name":"PAST TO FUTURE: TOWARDS FULLY PALEO-INFORMED FUTURE CLIMATE PROJECTIONS","funder_award_id":"101184070","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/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212852286.pdf","grobid_xml":"https://content.openalex.org/works/W7212852286.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1888270019","https://openalex.org/W1967755877","https://openalex.org/W1971359763","https://openalex.org/W1981028614","https://openalex.org/W1988037432","https://openalex.org/W2002137006","https://openalex.org/W2005740351","https://openalex.org/W2034334319","https://openalex.org/W2048898531","https://openalex.org/W2054754818","https://openalex.org/W2118496647","https://openalex.org/W2124428761","https://openalex.org/W2289853499","https://openalex.org/W2500108028","https://openalex.org/W2774886872","https://openalex.org/W2798851714","https://openalex.org/W2978013226","https://openalex.org/W3098544911","https://openalex.org/W3207328136","https://openalex.org/W4233996393","https://openalex.org/W4255896881","https://openalex.org/W4415142009","https://openalex.org/W7111320617","https://openalex.org/W7131284991","https://openalex.org/W7165115053"],"related_works":["https://openalex.org/W7131284991","https://openalex.org/W7165115053","https://openalex.org/W944841404","https://openalex.org/W2118496647","https://openalex.org/W7100123825","https://openalex.org/W1839339604","https://openalex.org/W1810145983","https://openalex.org/W2893414544","https://openalex.org/W2083978549","https://openalex.org/W1888270019"],"abstract_inverted_index":{"Fast-flowing":[0],"glaciers,":[1],"known":[2],"as":[3],"ice":[4,10,46,64,148],"streams,":[5],"control":[6],"the":[7,142],"majority":[8],"of":[9,63,136,144],"sheet":[11],"mass":[12,97],"loss":[13],"due":[14],"to":[15,52,60,70],"thermomechanical":[16],"coupling":[17,43,69],"at":[18],"their":[19],"base,":[20],"which":[21],"can":[22,34,48],"induce":[23],"basal":[24],"lubrication":[25],"and":[26,72,86,101,114],"highly":[27],"variable":[28],"flow.":[29],"Even":[30],"quite":[31],"simple":[32],"models":[33],"show":[35],"`binge-purge'":[36],"oscillations.":[37],"Recent":[38],"work":[39],"has":[40],"highlighted":[41],"that":[42,94],"between":[44],"divergent":[45,68],"streams":[47,65],"also":[49,121],"give":[50],"rise":[51],"chaotic":[53,137],"variability.":[54,138,150],"In":[55],"this":[56],"paper,":[57],"we":[58,132],"return":[59],"a":[61,67,79,88,111,127],"model":[62,93,125],"with":[66,117,126],"identify":[71],"correct":[73],"some":[74],"physical":[75],"inconsistencies,":[76],"most":[77],"notably":[78],"global":[80],"volume":[81],"conservation":[82],"error.":[83],"We":[84,120],"propose":[85],"validate":[87],"revised":[89],"Divergent":[90],"Coupling":[91,129],"(DC)":[92],"ensures":[95],"rigorous":[96],"balance.":[98],"Bifurcation":[99],"analysis":[100],"Poincar\u00e9":[102],"sections":[103],"reveal":[104],"previously":[105],"unidentified":[106],"complex":[107],"frequency-locking":[108],"(Arnold":[109],"tongues),":[110],"period-adding":[112],"cascade":[113],"chaos":[115],"associated":[116],"torus":[118],"breakdown.":[119],"consider":[122],"an":[123],"equivalent":[124],"Convergent":[128],"(CC),":[130],"where":[131],"find":[133],"no":[134],"evidence":[135],"These":[139],"findings":[140],"suggest":[141],"importance":[143],"specific":[145],"topologies":[146],"on":[147],"stream":[149]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-15T00:00:00"}