{"id":"https://openalex.org/W2023556158","doi":"https://doi.org/10.1142/s0218127403006935","title":"ON SPATIAL PERIODIC ORBITS AND SPATIAL CHAOS","display_name":"ON SPATIAL PERIODIC ORBITS AND SPATIAL CHAOS","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2023556158","doi":"https://doi.org/10.1142/s0218127403006935","mag":"2023556158"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403006935","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006935","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/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 Electronic Engineering, City University of Hong Kong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, P.R. China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SHU TANG LIU","raw_affiliation_strings":["Institute of Systems Science, College of Science and Engineering, Shandong University, Jinan, Shandong 250061, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, College of Science and Engineering, Shandong University, Jinan, Shandong 250061, P.R. China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0546,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.85248947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"04","first_page":"935","last_page":"941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9980999827384949,"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":0.9980999827384949,"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/T10244","display_name":"Chaos control and synchronization","score":0.9948999881744385,"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":0.9948999881744385,"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/chaos","display_name":"CHAOS (operating system)","score":0.7358071804046631},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.58707594871521},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.49369820952415466},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4345557391643524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4148050844669342},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3655502200126648},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34715837240219116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32759833335876465},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.32013386487960815},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.27811262011528015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13238954544067383},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07204380631446838}],"concepts":[{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.7358071804046631},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.58707594871521},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.49369820952415466},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4345557391643524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4148050844669342},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3655502200126648},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34715837240219116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32759833335876465},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.32013386487960815},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.27811262011528015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13238954544067383},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07204380631446838},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127403006935","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006935","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W83930199","https://openalex.org/W397285484","https://openalex.org/W1438394186","https://openalex.org/W1496745782","https://openalex.org/W1582633447","https://openalex.org/W1778770266","https://openalex.org/W1970442252","https://openalex.org/W1974767995","https://openalex.org/W2001716955","https://openalex.org/W2003356643","https://openalex.org/W2024026135","https://openalex.org/W2029905060","https://openalex.org/W2034266939","https://openalex.org/W2051968249","https://openalex.org/W2059144921","https://openalex.org/W2059340344","https://openalex.org/W2070519138","https://openalex.org/W2070822631","https://openalex.org/W2090884495","https://openalex.org/W2132843353","https://openalex.org/W2139153229","https://openalex.org/W2321551058","https://openalex.org/W2574026466"],"related_works":["https://openalex.org/W2392447668","https://openalex.org/W2028445092","https://openalex.org/W2390824390","https://openalex.org/W1496745782","https://openalex.org/W2384000718","https://openalex.org/W2052017700","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2167530057","https://openalex.org/W2365276084"],"abstract_inverted_index":{"This":[0,14],"paper":[1],"introduces":[2],"an":[3],"analytical":[4],"method":[5],"for":[6],"constructing":[7],"spatial":[8,21],"periodic":[9],"orbits":[10],"of":[11,26],"specified":[12],"periods.":[13],"result":[15],"is":[16],"then":[17],"extended":[18],"to":[19],"generating":[20],"chaos":[22],"in":[23],"the":[24],"sense":[25],"Li":[27],"and":[28],"Yorke.":[29]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
