{"id":"https://openalex.org/W2886572193","doi":"https://doi.org/10.1142/s021812741850102x","title":"On Generic Properties of Nonautonomous Dynamical Systems","display_name":"On Generic Properties of Nonautonomous Dynamical Systems","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2886572193","doi":"https://doi.org/10.1142/s021812741850102x","mag":"2886572193"},"language":"en","primary_location":{"id":"doi:10.1142/s021812741850102x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741850102x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5042540305","display_name":"Francisco Balibrea","orcid":null},"institutions":[{"id":"https://openalex.org/I80180929","display_name":"Universidad de Murcia","ror":"https://ror.org/03p3aeb86","country_code":"ES","type":"education","lineage":["https://openalex.org/I80180929"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Balibrea","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017892838","display_name":"J. Sm\u0131\u0301tal","orcid":null},"institutions":[{"id":"https://openalex.org/I32366509","display_name":"Silesian University in Opava","ror":"https://ror.org/02w4f2z17","country_code":"CZ","type":"education","lineage":["https://openalex.org/I32366509"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jaroslav Sm\u00edtal","raw_affiliation_strings":["Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic","institution_ids":["https://openalex.org/I32366509"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011370910","display_name":"Marta \u0160tef\u00e1nkov\u00e1","orcid":"https://orcid.org/0000-0002-3004-6670"},"institutions":[{"id":"https://openalex.org/I32366509","display_name":"Silesian University in Opava","ror":"https://ror.org/02w4f2z17","country_code":"CZ","type":"education","lineage":["https://openalex.org/I32366509"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Marta \u0160tef\u00e1nkov\u00e1","raw_affiliation_strings":["Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic","institution_ids":["https://openalex.org/I32366509"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011370910"],"corresponding_institution_ids":["https://openalex.org/I32366509"],"apc_list":null,"apc_paid":null,"fwci":1.0946,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74486301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"08","first_page":"1850102","last_page":"1850102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9997000098228455,"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":0.9997000098228455,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12793","display_name":"Caveolin-1 and cellular processes","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-entropy","display_name":"Topological entropy","score":0.820152997970581},{"id":"https://openalex.org/keywords/equicontinuity","display_name":"Equicontinuity","score":0.7804651260375977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.758936882019043},{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.756657600402832},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6959673762321472},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6366271376609802},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6261581182479858},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6044082641601562},{"id":"https://openalex.org/keywords/uniform-continuity","display_name":"Uniform continuity","score":0.5637539625167847},{"id":"https://openalex.org/keywords/cantor-set","display_name":"Cantor set","score":0.562947690486908},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5172680020332336},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.46092769503593445},{"id":"https://openalex.org/keywords/continuous-map","display_name":"Continuous map","score":0.45931437611579895},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45116662979125977},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3363959789276123},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2563793957233429},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08363866806030273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08189117908477783}],"concepts":[{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.820152997970581},{"id":"https://openalex.org/C182539199","wikidata":"https://www.wikidata.org/wiki/Q249092","display_name":"Equicontinuity","level":2,"score":0.7804651260375977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.758936882019043},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.756657600402832},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6959673762321472},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6366271376609802},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6261581182479858},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6044082641601562},{"id":"https://openalex.org/C129301229","wikidata":"https://www.wikidata.org/wiki/Q741865","display_name":"Uniform continuity","level":3,"score":0.5637539625167847},{"id":"https://openalex.org/C36605576","wikidata":"https://www.wikidata.org/wiki/Q273188","display_name":"Cantor set","level":2,"score":0.562947690486908},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5172680020332336},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.46092769503593445},{"id":"https://openalex.org/C2991919592","wikidata":"https://www.wikidata.org/wiki/Q170058","display_name":"Continuous map","level":2,"score":0.45931437611579895},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45116662979125977},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3363959789276123},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2563793957233429},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08363866806030273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08189117908477783},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812741850102x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741850102x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W792749709","https://openalex.org/W1525450316","https://openalex.org/W1970734430","https://openalex.org/W1984710502","https://openalex.org/W1997887090","https://openalex.org/W2015111086","https://openalex.org/W2039436660","https://openalex.org/W2042376291","https://openalex.org/W2058191172","https://openalex.org/W2060891977","https://openalex.org/W2077394492","https://openalex.org/W2078632668","https://openalex.org/W2097000629","https://openalex.org/W2156034977","https://openalex.org/W2160354684","https://openalex.org/W2225885095","https://openalex.org/W2525840735","https://openalex.org/W2800143803","https://openalex.org/W4294830154"],"related_works":["https://openalex.org/W4297698743","https://openalex.org/W2606069319","https://openalex.org/W3003518982","https://openalex.org/W4280608692","https://openalex.org/W2958903145","https://openalex.org/W4298836506","https://openalex.org/W2244431275","https://openalex.org/W1971344454","https://openalex.org/W2964092594","https://openalex.org/W2886572193"],"abstract_inverted_index":{"We":[0,53],"consider":[1],"nonautonomous":[2],"dynamical":[3],"systems":[4,35],"consisting":[5],"of":[6,8,12,34,65,86,101],"sequences":[7],"continuous":[9,50],"surjective":[10],"maps":[11],"a":[13,49],"compact":[14,107],"metric":[15],"space":[16,33,108],"[Formula:":[17,21,24,28,36,57,74,109],"see":[18,22,25,29,37,58,75,110],"text].":[19],"Let":[20],"text],":[23,38,59],"text]":[26,30,76,111],"and":[27],"denote":[31],"the":[32,60,66,78,81,87,98,102],"which":[39],"are":[40,112],"uniformly":[41],"convergent,":[42],"or":[43,45],"equicontinuous,":[44],"pointwise":[46],"convergent":[47],"(to":[48],"map),":[51],"respectively.":[52],"show":[54],"that":[55,97],"for":[56,105],"generic":[61,82],"system":[62,83],"in":[63,84],"any":[64,85],"spaces":[67,88],"has":[68,89],"infinite":[69],"topological":[70,91],"entropy,":[71],"while,":[72],"if":[73,114],"is":[77],"Cantor":[79],"set,":[80],"zero":[90],"entropy.":[92],"This":[93],"shows,":[94],"among":[95],"others,":[96],"general":[99],"results":[100],"above":[103],"type":[104],"arbitrary":[106],"difficult":[113],"not":[115],"impossible.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
