{"id":"https://openalex.org/W2982666329","doi":"https://doi.org/10.1109/icstcc.2019.8885415","title":"Analysis of a Class of Hyperbolic Systems via Data-Driven Koopman Operator","display_name":"Analysis of a Class of Hyperbolic Systems via Data-Driven Koopman Operator","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W2982666329","doi":"https://doi.org/10.1109/icstcc.2019.8885415","mag":"2982666329"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc.2019.8885415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc.2019.8885415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 23rd International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-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/A5071798161","display_name":"Camilo Garcia-Tenorio","orcid":"https://orcid.org/0000-0002-0700-1861"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"C. Garcia-Tenorio","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia"],"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065543561","display_name":"Duvan Tellez\u2010Castro","orcid":"https://orcid.org/0000-0002-2190-3458"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"D. Tellez-Castro","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia"],"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065441117","display_name":"Eduardo Mojica\u2010Nava","orcid":"https://orcid.org/0000-0002-3259-4013"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"E. Mojica-Nava","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia"],"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogota, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional de Colombia, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030337733","display_name":"Alain Vande Wouwer","orcid":"https://orcid.org/0000-0001-7022-6126"},"institutions":[{"id":"https://openalex.org/I130929987","display_name":"University of Mons","ror":"https://ror.org/02qnnz951","country_code":"BE","type":"education","lineage":["https://openalex.org/I130929987"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. Vande Wouwer","raw_affiliation_strings":["University of Mons, Mons, Belgium"],"affiliations":[{"raw_affiliation_string":"University of Mons, Mons, Belgium","institution_ids":["https://openalex.org/I130929987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071798161"],"corresponding_institution_ids":["https://openalex.org/I36243813"],"apc_list":null,"apc_paid":null,"fwci":0.7194,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71018394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"566","last_page":"571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/eigenfunction","display_name":"Eigenfunction","score":0.8139629364013672},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6411772966384888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6188850402832031},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6037828922271729},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5922735333442688},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.5654920339584351},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5276429057121277},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.474984347820282},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45209580659866333},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4508311152458191},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4276978373527527},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42624789476394653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23222309350967407},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14209231734275818},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09600162506103516}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.8139629364013672},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6411772966384888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6188850402832031},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6037828922271729},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5922735333442688},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.5654920339584351},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5276429057121277},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.474984347820282},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45209580659866333},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4508311152458191},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4276978373527527},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42624789476394653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23222309350967407},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14209231734275818},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09600162506103516},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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":2,"locations":[{"id":"doi:10.1109/icstcc.2019.8885415","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc.2019.8885415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 23rd International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:orbi.umons.ac.be:20.500.12907/21174","is_oa":false,"landing_page_url":"https://orbi.umons.ac.be/handle/20.500.12907/21174","pdf_url":null,"source":{"id":"https://openalex.org/S7407055454","display_name":"ORBi UMONS","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":"23rd International Conference on System Theory, Control and Computing (ICSTCC), Sinaia, Romania [RO], 2019","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W645921674","https://openalex.org/W1591018827","https://openalex.org/W1592415565","https://openalex.org/W1997054581","https://openalex.org/W2004902288","https://openalex.org/W2009030410","https://openalex.org/W2054714794","https://openalex.org/W2069159682","https://openalex.org/W2076875872","https://openalex.org/W2082395037","https://openalex.org/W2114876173","https://openalex.org/W2115520718","https://openalex.org/W2126999002","https://openalex.org/W2472333518","https://openalex.org/W2963611087","https://openalex.org/W3038118776","https://openalex.org/W3099674394","https://openalex.org/W3186624155","https://openalex.org/W4248180789"],"related_works":["https://openalex.org/W2053448926","https://openalex.org/W2899860737","https://openalex.org/W1990842824","https://openalex.org/W128178425","https://openalex.org/W2389688355","https://openalex.org/W1823170940","https://openalex.org/W1977604065","https://openalex.org/W3102207786","https://openalex.org/W2767914060","https://openalex.org/W1575765233"],"abstract_inverted_index":{"The":[0,40,80],"region":[1,24,73],"of":[2,4,15,22,25,33,42,55,66,74,76,89,99],"attraction":[3,75],"nonlinear":[5],"dynamical":[6],"systems":[7],"is":[8],"a":[9,59],"critical":[10],"factor":[11],"in":[12,70],"the":[13,23,29,37,50,63,72,87,90,97,100],"analysis":[14,32],"equilibrium":[16,56],"points.":[17,79],"To":[18],"have":[19],"an":[20],"approximation":[21],"attraction,":[26],"we":[27],"propose":[28],"construction":[30,41],"and":[31,52,69,93],"eigenfunctions":[34,43],"coming":[35],"from":[36,86],"Koopman":[38],"operator.":[39],"with":[44,49],"associated":[45],"unitary":[46],"eigenvalue":[47],"along":[48],"location":[51],"local":[53],"stability":[54],"points":[57],"provides":[58],"method":[60,81],"to":[61],"find":[62],"stable":[64,78],"manifolds":[65],"saddle":[67],"points,":[68],"turn,":[71],"asymptotically":[77],"relies":[82],"on":[83],"data":[84],"collected":[85],"trajectories":[88],"underlying":[91],"system":[92],"does":[94],"not":[95],"require":[96],"knowledge":[98],"differential":[101],"equation.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}