{"id":"https://openalex.org/W2726510166","doi":"https://doi.org/10.1142/s0218127417500845","title":"Chaotic Dynamics of Composition Operators on the Space of Continuous Functions","display_name":"Chaotic Dynamics of Composition Operators on the Space of Continuous Functions","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2726510166","doi":"https://doi.org/10.1142/s0218127417500845","mag":"2726510166"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417500845","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500845","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/A5067372889","display_name":"Zongbin Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zongbin Yin","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067372889"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":1.4977,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8027355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"06","first_page":"1750084","last_page":"1750084"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9998999834060669,"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":0.9998999834060669,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7693400979042053},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7492952942848206},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.6750851273536682},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6258502006530762},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6254684925079346},{"id":"https://openalex.org/keywords/composition-operator","display_name":"Composition operator","score":0.6221029162406921},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.54443359375},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.4257087707519531},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4200584292411804},{"id":"https://openalex.org/keywords/multiplication-operator","display_name":"Multiplication operator","score":0.19149860739707947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11910215020179749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05079349875450134},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.04919728636741638}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7693400979042053},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7492952942848206},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.6750851273536682},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6258502006530762},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6254684925079346},{"id":"https://openalex.org/C21513729","wikidata":"https://www.wikidata.org/wiki/Q5156798","display_name":"Composition operator","level":4,"score":0.6221029162406921},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.54443359375},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.4257087707519531},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4200584292411804},{"id":"https://openalex.org/C82916341","wikidata":"https://www.wikidata.org/wiki/Q6934990","display_name":"Multiplication operator","level":3,"score":0.19149860739707947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11910215020179749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05079349875450134},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.04919728636741638},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127417500845","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500845","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/11","score":0.5099999904632568,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W626893493","https://openalex.org/W1497901417","https://openalex.org/W1593303415","https://openalex.org/W1604925853","https://openalex.org/W1657944681","https://openalex.org/W1997887090","https://openalex.org/W2003225458","https://openalex.org/W2005930343","https://openalex.org/W2013197368","https://openalex.org/W2024695866","https://openalex.org/W2026382557","https://openalex.org/W2033586485","https://openalex.org/W2036073431","https://openalex.org/W2036865145","https://openalex.org/W2042537863","https://openalex.org/W2045287698","https://openalex.org/W2049820603","https://openalex.org/W2059340344","https://openalex.org/W2074535422","https://openalex.org/W2080876524","https://openalex.org/W2096234438","https://openalex.org/W2166852941","https://openalex.org/W2167201060","https://openalex.org/W2206740921","https://openalex.org/W2224306778","https://openalex.org/W2314132305","https://openalex.org/W3109381375","https://openalex.org/W3138265894","https://openalex.org/W4230278731","https://openalex.org/W4237678547","https://openalex.org/W4240509971","https://openalex.org/W4256081943","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2373038869","https://openalex.org/W2004708907","https://openalex.org/W2377429601","https://openalex.org/W2386043911","https://openalex.org/W3171270255","https://openalex.org/W2368252804","https://openalex.org/W3003512042","https://openalex.org/W2379367191","https://openalex.org/W2091083576","https://openalex.org/W3129883606"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,10,22,32,36,52,75,85,89],"chaotic":[4],"dynamics":[5],"of":[6,12,35,88],"composition":[7,37,53,90],"operators":[8],"on":[9],"space":[11],"real-valued":[13],"continuous":[14],"functions":[15],"is":[16,19,67],"investigated.":[17],"It":[18],"proved":[20],"that":[21],"hypercyclicity,":[23],"topologically":[24],"mixing":[25],"property,":[26],"Devaney":[27],"chaos,":[28],"frequent":[29],"hypercyclicity":[30],"and":[31,44,63,72],"specification":[33],"property":[34],"operator":[38,54,91],"are":[39,45,95],"equivalent":[40],"to":[41],"each":[42],"other":[43],"stronger":[46],"than":[47],"dense":[48,59],"distributional":[49],"chaos.":[50],"Moreover,":[51],"[Formula:":[55,77],"see":[56,78],"text]":[57,79],"exhibits":[58],"Li\u2013Yorke":[60],"chaos":[61],"if":[62,65,71,74],"only":[64,73],"it":[66],"densely":[68],"distributionally":[69],"chaotic,":[70],"symbol":[76,94],"admits":[80],"no":[81],"fixed":[82],"points.":[83],"Finally,":[84],"long-time":[86],"behaviors":[87],"with":[92],"affine":[93],"classified":[96],"in":[97],"detail.":[98]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}