{"id":"https://openalex.org/W4400042626","doi":"https://doi.org/10.46298/lmcs-20(2:19)2024","title":"Robust non-computability of dynamical systems and computability of robust dynamical systems","display_name":"Robust non-computability of dynamical systems and computability of robust dynamical systems","publication_year":2024,"publication_date":"2024-06-26","ids":{"openalex":"https://openalex.org/W4400042626","doi":"https://doi.org/10.46298/lmcs-20(2:19)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(2:19)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(2:19)2024","pdf_url":"https://lmcs.episciences.org/13831/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/13831/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065946481","display_name":"Daniel S. Gra\u00e7a","orcid":"https://orcid.org/0000-0002-0330-833X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Daniel S. Gra\u00e7a","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5022096691","display_name":"Ning Zhong","orcid":"https://orcid.org/0000-0001-7882-8340"},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Zhong","raw_affiliation_strings":["DMS, University of Cincinnati, Cincinnati, OH 45221-0025, U.S.A"],"affiliations":[{"raw_affiliation_string":"DMS, University of Cincinnati, Cincinnati, OH 45221-0025, U.S.A","institution_ids":["https://openalex.org/I63135867"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065946481"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3795,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61163102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 20, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.9432761073112488},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.64845871925354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6479805111885071},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4067597985267639},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05613544583320618}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.9432761073112488},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.64845871925354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6479805111885071},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4067597985267639},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05613544583320618},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.46298/lmcs-20(2:19)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(2:19)2024","pdf_url":"https://lmcs.episciences.org/13831/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9a93890a5be04002b883ad78618a5615","is_oa":true,"landing_page_url":"https://doaj.org/article/9a93890a5be04002b883ad78618a5615","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 2 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(2:19)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(2:19)2024","pdf_url":"https://lmcs.episciences.org/13831/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400042626.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W954689","https://openalex.org/W1509579779","https://openalex.org/W1545819195","https://openalex.org/W1596057910","https://openalex.org/W1809268447","https://openalex.org/W1958506772","https://openalex.org/W1965850345","https://openalex.org/W1977106683","https://openalex.org/W1990125233","https://openalex.org/W1990692111","https://openalex.org/W1998525082","https://openalex.org/W2042179805","https://openalex.org/W2044315075","https://openalex.org/W2052388820","https://openalex.org/W2074380651","https://openalex.org/W2077983661","https://openalex.org/W2086349071","https://openalex.org/W2147781258","https://openalex.org/W2150004712","https://openalex.org/W2161290234","https://openalex.org/W2600505170","https://openalex.org/W3007319715","https://openalex.org/W3015585827","https://openalex.org/W3035355718","https://openalex.org/W3081947053","https://openalex.org/W3123773245","https://openalex.org/W3155356420","https://openalex.org/W3157057918","https://openalex.org/W3197371905","https://openalex.org/W3203009394","https://openalex.org/W4292994524","https://openalex.org/W4386245149"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2197939068","https://openalex.org/W159680751","https://openalex.org/W2759753768","https://openalex.org/W2390279801","https://openalex.org/W2951237399","https://openalex.org/W2102369008","https://openalex.org/W145779977","https://openalex.org/W926519"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,97],"examine":[4],"the":[5,8,11,16,52,56,60,89,101,128,135,138,146],"relationship":[6],"between":[7],"stability":[9,78,130],"of":[10,18,21,41,49,62,66,91,94,103,131,137,148,151],"dynamical":[12],"system":[13,28,116,133],"$x^{\\prime}=f(x)$":[14,29],"and":[15,34,59,134],"computability":[17,90,147],"its":[19,63,92,149],"basins":[20,102,150],"attraction.":[22,95,152],"We":[23],"present":[24],"a":[25,32,47,80,107,119,132,141],"computable":[26,33],"$C^{\\infty}$":[27],"that":[30,54,76,100,127],"possesses":[31],"stable":[35,81,109,112],"equilibrium":[36,57,82],"point,":[37],"yet":[38],"whose":[39],"basin":[40,65,93],"attraction":[42,67,104],"is":[43,71,85],"robustly":[44],"non-computable":[45],"in":[46,51,144],"neighborhood":[48],"$f$":[50,70],"sense":[53],"both":[55],"point":[58,83],"non-computability":[61],"associated":[64,105],"persist":[68],"when":[69],"slightly":[72],"perturbed.":[73],"This":[74],"indicates":[75],"local":[77],"near":[79],"alone":[84],"insufficient":[86],"to":[87],"guarantee":[88],"However,":[96],"also":[98],"demonstrate":[99],"with":[106],"structurally":[108],"-":[110,114],"globally":[111],"(robust)":[113],"planar":[115],"defined":[117],"on":[118],"compact":[120],"set":[121],"are":[122],"computable.":[123],"Our":[124],"findings":[125],"suggest":[126],"global":[129],"compactness":[136],"domain":[139],"play":[140],"pivotal":[142],"role":[143],"determining":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2024-06-27T00:00:00"}
