{"id":"https://openalex.org/W2369655683","doi":"https://doi.org/10.1137/140999815","title":"A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps","display_name":"A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2369655683","doi":"https://doi.org/10.1137/140999815","mag":"2369655683"},"language":"en","primary_location":{"id":"doi:10.1137/140999815","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140999815","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/A5062564873","display_name":"Thorsten H\u00fcls","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thorsten H\u00fcls","raw_affiliation_strings":["[Bielefeld University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Bielefeld University]","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062564873"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":2.9648,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89967681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"15","issue":"2","first_page":"923","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9668999910354614,"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/T10244","display_name":"Chaos control and synchronization","score":0.9448999762535095,"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/computation","display_name":"Computation","score":0.6487630605697632},{"id":"https://openalex.org/keywords/fiber","display_name":"Fiber","score":0.5976810455322266},{"id":"https://openalex.org/keywords/fiber-bundle","display_name":"Fiber bundle","score":0.5667958855628967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5562204122543335},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4893326163291931},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4652842879295349},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4448881149291992},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3771129548549652},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33291691541671753},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16876313090324402}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6487630605697632},{"id":"https://openalex.org/C519885992","wikidata":"https://www.wikidata.org/wiki/Q161","display_name":"Fiber","level":2,"score":0.5976810455322266},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.5667958855628967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5562204122543335},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4893326163291931},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4652842879295349},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4448881149291992},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3771129548549652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33291691541671753},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16876313090324402},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140999815","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140999815","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:pub.uni-bielefeld.de:2906737","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2906737","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W48894704","https://openalex.org/W131553224","https://openalex.org/W203532357","https://openalex.org/W379240221","https://openalex.org/W567049363","https://openalex.org/W1533288419","https://openalex.org/W1544852361","https://openalex.org/W1550918041","https://openalex.org/W1560060148","https://openalex.org/W1572164227","https://openalex.org/W1572261854","https://openalex.org/W1575974143","https://openalex.org/W1576754181","https://openalex.org/W1579475312","https://openalex.org/W1579506172","https://openalex.org/W1596321532","https://openalex.org/W1597461812","https://openalex.org/W1697832715","https://openalex.org/W1963598988","https://openalex.org/W1967965768","https://openalex.org/W1968620436","https://openalex.org/W1976107721","https://openalex.org/W1991658172","https://openalex.org/W1995470269","https://openalex.org/W2001376754","https://openalex.org/W2001659478","https://openalex.org/W2002122833","https://openalex.org/W2017170340","https://openalex.org/W2030274241","https://openalex.org/W2033976695","https://openalex.org/W2036319645","https://openalex.org/W2039982162","https://openalex.org/W2046730264","https://openalex.org/W2048876584","https://openalex.org/W2049119403","https://openalex.org/W2058592414","https://openalex.org/W2059625173","https://openalex.org/W2062427814","https://openalex.org/W2067865347","https://openalex.org/W2070583401","https://openalex.org/W2077011938","https://openalex.org/W2080643586","https://openalex.org/W2081657712","https://openalex.org/W2081817659","https://openalex.org/W2092936835","https://openalex.org/W2110670499","https://openalex.org/W2122424119","https://openalex.org/W2125566231","https://openalex.org/W2127493405","https://openalex.org/W2143677831","https://openalex.org/W2143994965","https://openalex.org/W2150351882","https://openalex.org/W2158325143","https://openalex.org/W2159192350","https://openalex.org/W2323059721","https://openalex.org/W2333697613","https://openalex.org/W2463927198","https://openalex.org/W2513844865","https://openalex.org/W2618795383","https://openalex.org/W4212928962","https://openalex.org/W4246342582","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3113851535","https://openalex.org/W4327873623","https://openalex.org/W2072697994","https://openalex.org/W2103198813"],"abstract_inverted_index":{"Stable":[0],"fiber":[1,48],"bundles":[2,49],"are":[3,45,50],"the":[4,17],"nonautonomous":[5,38],"analogue":[6],"of":[7,33],"stable":[8],"manifolds,":[9],"and":[10,37,47],"these":[11],"objects":[12],"provide":[13],"valuable":[14],"information":[15],"on":[16],"underlying":[18],"dynamics.":[19],"We":[20],"propose":[21],"an":[22],"algorithm":[23],"for":[24,52],"their":[25],"computation":[26],"that":[27],"applies":[28],"to":[29],"a":[30],"wide":[31],"class":[32],"models,":[34],"including":[35],"noninvertible":[36],"discrete":[39],"time":[40],"systems.":[41],"Precise":[42],"error":[43],"estimates":[44],"provided,":[46],"computed":[51],"several":[53],"examples.":[54]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}