{"id":"https://openalex.org/W2076219511","doi":"https://doi.org/10.1137/090777244","title":"Continuation-based Computation of Global Isochrons","display_name":"Continuation-based Computation of Global Isochrons","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2076219511","doi":"https://doi.org/10.1137/090777244","mag":"2076219511"},"language":"en","primary_location":{"id":"doi:10.1137/090777244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777244","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078314587","display_name":"Hinke M. Osinga","orcid":"https://orcid.org/0000-0003-2169-0883"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hinke M. Osinga","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077998932","display_name":"Jeff Moehlis","orcid":"https://orcid.org/0000-0002-9985-588X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeff Moehlis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6738,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.95681599,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"4","first_page":"1201","last_page":"1228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9986000061035156,"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":0.9986000061035156,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9966999888420105,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isochron-dating","display_name":"Isochron dating","score":0.9084954261779785},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.629499077796936},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5574578642845154},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5530970096588135},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.503462016582489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48249340057373047},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.441000759601593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3733857274055481},{"id":"https://openalex.org/keywords/isochron","display_name":"Isochron","score":0.3189811110496521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22751092910766602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13756456971168518},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13498756289482117}],"concepts":[{"id":"https://openalex.org/C46381822","wikidata":"https://www.wikidata.org/wiki/Q223488","display_name":"Isochron dating","level":3,"score":0.9084954261779785},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.629499077796936},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5574578642845154},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5530970096588135},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.503462016582489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48249340057373047},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.441000759601593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3733857274055481},{"id":"https://openalex.org/C487381","wikidata":"https://www.wikidata.org/wiki/Q17098413","display_name":"Isochron","level":2,"score":0.3189811110496521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22751092910766602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13756456971168518},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13498756289482117},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090777244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777244","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:research-information.bris.ac.uk:openaire_cris_publications/c0193a56-04b5-4439-aee4-4ee19a4fe4ac","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/c0193a56-04b5-4439-aee4-4ee19a4fe4ac","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Osinga, HM & Moehlis, J 2010, 'Continuation-based computation of global isochrons', SIAM Journal on Applied Dynamical Systems, vol. 9, pp. 1201 - 1228. https://doi.org/10.1137/090777244","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1964227337","https://openalex.org/W1964803406","https://openalex.org/W1971092129","https://openalex.org/W1985940938","https://openalex.org/W1990636640","https://openalex.org/W1991382272","https://openalex.org/W2003751283","https://openalex.org/W2003884541","https://openalex.org/W2005412232","https://openalex.org/W2022911541","https://openalex.org/W2023041663","https://openalex.org/W2034014645","https://openalex.org/W2036319645","https://openalex.org/W2046238971","https://openalex.org/W2049739431","https://openalex.org/W2054589454","https://openalex.org/W2065992151","https://openalex.org/W2076564717","https://openalex.org/W2077011938","https://openalex.org/W2101845422","https://openalex.org/W2110670499","https://openalex.org/W2119779417","https://openalex.org/W2121459075","https://openalex.org/W2126497150","https://openalex.org/W2126841507","https://openalex.org/W2950197822","https://openalex.org/W2963554196","https://openalex.org/W4249122194"],"related_works":["https://openalex.org/W1956257808","https://openalex.org/W2322776206","https://openalex.org/W2084930737","https://openalex.org/W2002420556","https://openalex.org/W2035274652","https://openalex.org/W1660035104","https://openalex.org/W3141604987","https://openalex.org/W1993133148","https://openalex.org/W2040799695","https://openalex.org/W2080725532"],"abstract_inverted_index":{"Isochrons":[0],"are":[1,130],"foliations":[2],"of":[3,10,12,20,22,31,64,71,82,91,96,110,113,115,141,165,211,214,216,231,235],"phase":[4,11,92],"space":[5],"that":[6,56,197],"extend":[7],"the":[8,18,29,42,47,51,61,72,94,102,108,111,116,139,163,198,209,212,217,229],"notion":[9],"a":[13,69,156,166,190,202,221,232],"stable":[14],"periodic":[15,24,48,73,117,218],"orbit":[16,49,219],"to":[17,46,133,185,224],"basin":[19,30,63,112,213,234],"attraction":[21,32,65,114,215],"this":[23,183],"orbit.":[25,118],"Each":[26],"point":[27],"in":[28,87,208,220],"lies":[33,106],"on":[34,41,107,228],"only":[35],"one":[36],"isochron,":[37],"and":[38,195],"two":[39],"points":[40],"same":[43,52],"isochron":[44],"converge":[45],"with":[50,150,177],"phase.":[53],"Global":[54],"isochrons,":[55],"is,":[57],"isochrons":[58,84,121,143,161,188,200,226],"extended":[59],"into":[60],"full":[62],"rather":[66],"than":[67],"just":[68],"neighborhood":[70],"orbit,":[74],"can":[75,85,144,206],"form":[76],"remarkable":[77],"foliations.":[78],"For":[79],"example,":[80],"accumulations":[81],"all":[83],"occur":[86],"arbitrarily":[88],"small":[89],"regions":[90],"space;":[93],"limit":[95],"such":[97,127],"an":[98],"accumulation":[99],"is":[100,172],"called":[101],"phaseless":[103],"set,":[104],"which":[105,171],"boundary":[109,168,230],"Since":[119],"global":[120,142,187],"must":[122],"typically":[123],"be":[124,145],"approximated":[125],"numerically,":[126],"complicated":[128],"geometries":[129],"often":[131],"difficult":[132],"realize":[134],"for":[135,148,159,175,189,201],"actual":[136],"examples.":[137],"Indeed,":[138],"computation":[140],"challenging,":[146],"particularly":[147,173],"systems":[149,176],"multiple":[151,178],"time":[152,179],"scales.":[153,180],"We":[154,181],"present":[155],"novel":[157],"method":[158,184],"computing":[160],"via":[162],"continuation":[164],"two-point":[167],"value":[169],"problem,":[170],"effective":[174],"use":[182],"compute":[186],"two-dimensional":[191,225],"reduced":[192],"Hodgkin\u2013Huxley":[193],"model":[194],"illustrate":[196],"one-dimensional":[199],"planar":[203],"multiple-time-scale":[204],"system":[205],"accumulate":[207],"interior":[210],"way":[222],"similar":[223],"accumulating":[227],"three-dimensional":[233],"attraction.":[236]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}
