{"id":"https://openalex.org/W3216269018","doi":"https://doi.org/10.1142/s0218127421502199","title":"Linear Li\u2013Yorke Chaos in a Finite-Dimensional Space with Weak Topology","display_name":"Linear Li\u2013Yorke Chaos in a Finite-Dimensional Space with Weak Topology","publication_year":2021,"publication_date":"2021-11-01","ids":{"openalex":"https://openalex.org/W3216269018","doi":"https://doi.org/10.1142/s0218127421502199","mag":"3216269018"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127421502199","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421502199","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/A5100437233","display_name":"Xu Zhang","orcid":"https://orcid.org/0000-0002-5138-6631"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xu Zhang","raw_affiliation_strings":["Department of Mathematics, Shandong University, Weihai, Shandong 264209, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shandong University, Weihai, Shandong 264209, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100437233"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":1.8254,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8438787,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"31","issue":"14","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9961000084877014,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.994700014591217,"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/topology","display_name":"Topology (electrical circuits)","score":0.7231469750404358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7189556360244751},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.5964918732643127},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5749577283859253},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.571839451789856},{"id":"https://openalex.org/keywords/weak-topology","display_name":"Weak topology (polar topology)","score":0.555225133895874},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.530998945236206},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5022940635681152},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32415497303009033},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.2980293035507202},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.274808406829834},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2733568549156189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20722755789756775},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09363701939582825}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.7231469750404358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7189556360244751},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.5964918732643127},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5749577283859253},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.571839451789856},{"id":"https://openalex.org/C129866940","wikidata":"https://www.wikidata.org/wiki/Q505760","display_name":"Weak topology (polar topology)","level":5,"score":0.555225133895874},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.530998945236206},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5022940635681152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32415497303009033},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.2980293035507202},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.274808406829834},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2733568549156189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20722755789756775},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09363701939582825},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127421502199","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421502199","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":[],"awards":[{"id":"https://openalex.org/G6893784326","display_name":null,"funder_award_id":"11701328","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W106363626","https://openalex.org/W626893493","https://openalex.org/W2000794976","https://openalex.org/W2024695866","https://openalex.org/W2045439110","https://openalex.org/W2047721478","https://openalex.org/W2074515870","https://openalex.org/W2166852941","https://openalex.org/W2979547774","https://openalex.org/W4240509971","https://openalex.org/W4256081943","https://openalex.org/W4293259004"],"related_works":["https://openalex.org/W2163446102","https://openalex.org/W4241337010","https://openalex.org/W51146019","https://openalex.org/W4301479830","https://openalex.org/W2963837678","https://openalex.org/W2515833534","https://openalex.org/W1970615917","https://openalex.org/W2126785047","https://openalex.org/W2354569527","https://openalex.org/W2506260474"],"abstract_inverted_index":{"It":[0],"is":[1,41],"well":[2],"known":[3],"that":[4,27],"a":[5,17,21,34,44],"finite-dimensional":[6],"linear":[7,35,45,50],"system":[8],"cannot":[9],"be":[10,31],"chaotic.":[11],"In":[12],"this":[13],"article,":[14],"by":[15,33,43],"introducing":[16],"weak":[18,39],"topology":[19,40],"into":[20],"two-dimensional":[22],"Euclidean":[23],"space,":[24],"it":[25],"shows":[26],"Li\u2013Yorke":[28],"chaos":[29],"can":[30],"generated":[32],"map,":[36],"where":[37],"the":[38],"induced":[42],"functional.":[46],"Some":[47],"examples":[48],"of":[49],"systems":[51],"are":[52,55,65],"presented,":[53],"some":[54,58],"chaotic":[56],"while":[57],"others":[59],"regular.":[60],"Consequently,":[61],"several":[62],"open":[63],"problems":[64],"posted.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
