{"id":"https://openalex.org/W2019808132","doi":"https://doi.org/10.1142/s0218127406016367","title":"UNIFORMITY OF SPATIAL PHYSICAL MOTION SYSTEMS AND SPATIAL CHAOS BEHAVIOR IN THE SENSE OF LI\u2013YORKE","display_name":"UNIFORMITY OF SPATIAL PHYSICAL MOTION SYSTEMS AND SPATIAL CHAOS BEHAVIOR IN THE SENSE OF LI\u2013YORKE","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2019808132","doi":"https://doi.org/10.1142/s0218127406016367","mag":"2019808132"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127406016367","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016367","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/A5086216483","display_name":"Shu Tang Liu","orcid":null},"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"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SHU TANG LIU","raw_affiliation_strings":["College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China","Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101739082","display_name":"Sitao Wu","orcid":"https://orcid.org/0000-0002-4740-8885"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SITAO WU","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110033691","display_name":"Yong Zhong","orcid":null},"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":false,"raw_author_name":"YONG PING ZHONG","raw_affiliation_strings":["College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2508,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.5566232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"09","first_page":"2697","last_page":"2703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9948999881744385,"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":0.9941999912261963,"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/chaotic","display_name":"Chaotic","score":0.7221900224685669},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.6767286062240601},{"id":"https://openalex.org/keywords/coupled-map-lattice","display_name":"Coupled map lattice","score":0.5495381355285645},{"id":"https://openalex.org/keywords/motion-field","display_name":"Motion field","score":0.5217852592468262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5050542950630188},{"id":"https://openalex.org/keywords/motion-system","display_name":"Motion system","score":0.43849119544029236},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3810461461544037},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.31093770265579224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27631452679634094},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.220251202583313},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19276657700538635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18286347389221191}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7221900224685669},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6767286062240601},{"id":"https://openalex.org/C39630112","wikidata":"https://www.wikidata.org/wiki/Q5178018","display_name":"Coupled map lattice","level":5,"score":0.5495381355285645},{"id":"https://openalex.org/C124774092","wikidata":"https://www.wikidata.org/wiki/Q6917782","display_name":"Motion field","level":3,"score":0.5217852592468262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5050542950630188},{"id":"https://openalex.org/C100673868","wikidata":"https://www.wikidata.org/wiki/Q6917799","display_name":"Motion system","level":3,"score":0.43849119544029236},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3810461461544037},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.31093770265579224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27631452679634094},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.220251202583313},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19276657700538635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18286347389221191},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127406016367","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016367","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":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1537442283","https://openalex.org/W1970442252","https://openalex.org/W1979566854","https://openalex.org/W1985039283","https://openalex.org/W1986841285","https://openalex.org/W2014677115","https://openalex.org/W2023556158","https://openalex.org/W2039627263","https://openalex.org/W2075591840","https://openalex.org/W2082330674","https://openalex.org/W2127893201"],"related_works":["https://openalex.org/W4286646204","https://openalex.org/W1978569796","https://openalex.org/W2048080413","https://openalex.org/W2377941855","https://openalex.org/W148122486","https://openalex.org/W2058759268","https://openalex.org/W2344050291","https://openalex.org/W2233004746","https://openalex.org/W2169823899","https://openalex.org/W2051456680"],"abstract_inverted_index":{"In":[0,54],"this":[1],"paper,":[2],"the":[3,33,50,55,66,71,88,91,97],"motion":[4,11,18,26,52,57,80,93],"law":[5],"of":[6,49,73,90,99],"some":[7],"classical":[8,92],"spatial":[9,67],"physical":[10],"systems":[12,94],"is":[13,20,28,44,63,75],"described,":[14],"and":[15,30,65],"a":[16,83],"uniform":[17,25,51,56,79],"system":[19,27,81],"obtained":[21],"from":[22],"them.":[23],"The":[24,77],"analyzed":[29],"compared":[31],"with":[32],"currently":[34],"popular":[35],"model,":[36],"i.e.":[37],"coupled":[38],"map":[39],"lattice":[40],"(CML)":[41],"model.":[42],"CML":[43],"just":[45],"one":[46],"special":[47],"type":[48],"system.":[53],"system,":[58],"an":[59],"iterative":[60],"periodic":[61],"orbit":[62],"constructed":[64],"chaotic":[68],"behavior":[69],"in":[70,87,96],"sense":[72],"Li\u2013Yorke":[74],"studied.":[76],"proposed":[78],"provides":[82],"reliable":[84],"theoretic":[85],"foundation":[86],"application":[89],"used":[95],"field":[98],"engineering":[100],"technology.":[101]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
