{"id":"https://openalex.org/W2916583437","doi":"https://doi.org/10.1137/19m1261791","title":"Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration","display_name":"Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2916583437","doi":"https://doi.org/10.1137/19m1261791","mag":"2916583437"},"language":"en","primary_location":{"id":"doi:10.1137/19m1261791","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m1261791","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/19M1261791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/19M1261791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016233400","display_name":"Gary Froyland","orcid":"https://orcid.org/0000-0002-2995-0582"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gary Froyland","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021278553","display_name":"P\u00e9ter Koltai","orcid":"https://orcid.org/0000-0002-8127-6804"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P\u00e9ter Koltai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004719265","display_name":"Martin Stahn","orcid":"https://orcid.org/0000-0002-8453-2316"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Stahn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016233400"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00823187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"3","first_page":"1659","last_page":"1700"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9998000264167786,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9998000264167786,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9925000071525574,"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/T10244","display_name":"Chaos control and synchronization","score":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.8670905828475952},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5769230723381042},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5700204968452454},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5483487248420715},{"id":"https://openalex.org/keywords/trajectory-optimization","display_name":"Trajectory optimization","score":0.5397575497627258},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5342705845832825},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4505522549152374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43623054027557373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4295761287212372},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3347625434398651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33168691396713257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22304105758666992},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21368005871772766},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20639169216156006},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.18832501769065857}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8670905828475952},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5769230723381042},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5700204968452454},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5483487248420715},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.5397575497627258},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5342705845832825},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4505522549152374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43623054027557373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4295761287212372},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3347625434398651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33168691396713257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22304105758666992},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21368005871772766},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20639169216156006},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.18832501769065857},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/19m1261791","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m1261791","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/19M1261791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.09263","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09263","pdf_url":"https://arxiv.org/pdf/1902.09263","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2916583437","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.09263.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:eref.uni-bayreuth.de:73114","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/73114/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"},{"id":"pmh:oai:kobv.de-opus4-uni-potsdam:56094","is_oa":true,"landing_page_url":"https://publishup.uni-potsdam.de/frontdoor/index/index/docId/56094","pdf_url":null,"source":{"id":"https://openalex.org/S4306400594","display_name":"publish.UP (University of Potsdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I176453806","host_organization_name":"University of Potsdam","host_organization_lineage":["https://openalex.org/I176453806"],"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":null,"raw_type":"doc-type:article"},{"id":"doi:10.48550/arxiv.1902.09263","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.09263","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1137/19m1261791","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m1261791","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/19M1261791","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2077420360","display_name":null,"funder_award_id":"CRC 1114","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W138193196","https://openalex.org/W802172242","https://openalex.org/W1527296550","https://openalex.org/W1534416612","https://openalex.org/W1540580484","https://openalex.org/W1552350978","https://openalex.org/W1606157354","https://openalex.org/W1927681941","https://openalex.org/W1962855533","https://openalex.org/W1965743902","https://openalex.org/W1974628665","https://openalex.org/W1977438596","https://openalex.org/W1981145361","https://openalex.org/W1986893967","https://openalex.org/W1991632947","https://openalex.org/W1994330305","https://openalex.org/W1996344212","https://openalex.org/W2002405504","https://openalex.org/W2010141681","https://openalex.org/W2011296693","https://openalex.org/W2013130851","https://openalex.org/W2020738285","https://openalex.org/W2035449125","https://openalex.org/W2041435799","https://openalex.org/W2043125748","https://openalex.org/W2048995400","https://openalex.org/W2054083100","https://openalex.org/W2076923354","https://openalex.org/W2084417387","https://openalex.org/W2084755618","https://openalex.org/W2096953755","https://openalex.org/W2112250505","https://openalex.org/W2124342803","https://openalex.org/W2129465944","https://openalex.org/W2134763426","https://openalex.org/W2140055271","https://openalex.org/W2159286112","https://openalex.org/W2166485214","https://openalex.org/W2168676089","https://openalex.org/W2283941925","https://openalex.org/W2472441999","https://openalex.org/W2483568213","https://openalex.org/W2526185935","https://openalex.org/W2527874811","https://openalex.org/W2635039932","https://openalex.org/W2754184743","https://openalex.org/W2798451160","https://openalex.org/W2803512261","https://openalex.org/W2803841169","https://openalex.org/W2887231277","https://openalex.org/W2903630570","https://openalex.org/W2963995920","https://openalex.org/W3012636652","https://openalex.org/W3098255100","https://openalex.org/W3098658577","https://openalex.org/W3098898877","https://openalex.org/W3102575128","https://openalex.org/W3104208014","https://openalex.org/W3112346341"],"related_works":["https://openalex.org/W2329081516","https://openalex.org/W2952466221","https://openalex.org/W3037970646","https://openalex.org/W3167461778","https://openalex.org/W3170298122","https://openalex.org/W2949551019","https://openalex.org/W2972438309","https://openalex.org/W3111250059","https://openalex.org/W2208012883","https://openalex.org/W3136906901","https://openalex.org/W3149021651","https://openalex.org/W1520101623","https://openalex.org/W3198457371","https://openalex.org/W2901757448","https://openalex.org/W2805775353","https://openalex.org/W3006539496","https://openalex.org/W3103975545","https://openalex.org/W2959941220","https://openalex.org/W2478027467","https://openalex.org/W3192195939"],"abstract_inverted_index":{"Understanding":[0],"the":[1,21,49,75],"macroscopic":[2,35],"behavior":[3],"of":[4,20,74,118],"dynamical":[5,45],"systems":[6],"is":[7,27],"an":[8,42,58],"important":[9],"tool":[10],"to":[11,31,84],"unravel":[12],"transport":[13],"mechanisms":[14],"in":[15],"complex":[16],"flows.":[17],"A":[18],"decomposition":[19],"state":[22],"space":[23],"into":[24],"coherent":[25,39],"sets":[26,40],"a":[28,71,86],"popular":[29],"way":[30],"reveal":[32],"this":[33,111],"essential":[34],"evolution.":[36,77],"To":[37],"compute":[38],"from":[41],"aperiodic":[43,76],"time-dependent":[44],"system":[46],"we":[47],"consider":[48],"relevant":[50],"transfer":[51],"operators":[52],"and":[53,69,88,109,115],"their":[54],"infinitesimal":[55],"generators":[56],"on":[57],"augmented":[59],"space-time":[60,63],"manifold.":[61],"This":[62,78],"generator":[64],"approach":[65],"avoids":[66],"trajectory":[67],"integration":[68],"creates":[70],"convenient":[72],"linearization":[73,79],"can":[80],"be":[81],"further":[82],"exploited":[83],"create":[85],"simple":[87],"effective":[89],"spectral":[90],"optimization":[91,104],"methodology":[92],"for":[93,102],"diminishing":[94],"or":[95],"enhancing":[96],"coherence.":[97],"We":[98],"obtain":[99],"explicit":[100],"solutions":[101],"these":[103],"problems":[105],"using":[106],"Lagrange":[107],"multipliers":[108],"illustrate":[110],"technique":[112],"by":[113],"increasing":[114],"decreasing":[116],"mixing":[117],"spatial":[119],"regions":[120],"through":[121],"small":[122],"velocity":[123],"field":[124],"perturbations.":[125]},"counts_by_year":[],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}
