{"id":"https://openalex.org/W2555726586","doi":"https://doi.org/10.1142/s0218127416502060","title":"A New Class of Three-Dimensional Maps with Hidden Chaotic Dynamics","display_name":"A New Class of Three-Dimensional Maps with Hidden Chaotic Dynamics","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W2555726586","doi":"https://doi.org/10.1142/s0218127416502060","mag":"2555726586"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416502060","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502060","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/A5020756013","display_name":"Haibo Jiang","orcid":"https://orcid.org/0000-0001-8996-1665"},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibo Jiang","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, P. R. China","institution_ids":["https://openalex.org/I4210141689"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090839555","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-3867-5137"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["College of Engineering Mathematics and Physical Sciences, University of Exeter, Harrison Building, North Park Road, Exeter, EX4 4QF, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering Mathematics and Physical Sciences, University of Exeter, Harrison Building, North Park Road, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075850521","display_name":"Zhouchao Wei","orcid":"https://orcid.org/0000-0001-6981-748X"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouchao Wei","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100657311","display_name":"Liping Zhang","orcid":"https://orcid.org/0000-0002-6702-7094"},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liping Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, P. R. China","institution_ids":["https://openalex.org/I4210141689"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020756013"],"corresponding_institution_ids":["https://openalex.org/I4210141689"],"apc_list":null,"apc_paid":null,"fwci":1.7205,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.85040341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"26","issue":"12","first_page":"1650206","last_page":"1650206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9977999925613403,"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":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.9179943203926086},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.8795933127403259},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7728503942489624},{"id":"https://openalex.org/keywords/jerk","display_name":"Jerk","score":0.6490561366081238},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6094090938568115},{"id":"https://openalex.org/keywords/r\u00f6ssler-attractor","display_name":"R\u00f6ssler attractor","score":0.5384511947631836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5121543407440186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4779393970966339},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4389110803604126},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4301987886428833},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34453582763671875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22713515162467957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21923938393592834},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12881046533584595},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.10777473449707031},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.09027594327926636},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.060768842697143555}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9179943203926086},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8795933127403259},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7728503942489624},{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.6490561366081238},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6094090938568115},{"id":"https://openalex.org/C192872217","wikidata":"https://www.wikidata.org/wiki/Q720574","display_name":"R\u00f6ssler attractor","level":3,"score":0.5384511947631836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5121543407440186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4779393970966339},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4389110803604126},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4301987886428833},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34453582763671875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22713515162467957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21923938393592834},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12881046533584595},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10777473449707031},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.09027594327926636},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.060768842697143555},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127416502060","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502060","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/G2054463090","display_name":null,"funder_award_id":"11401543","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3854480499","display_name":null,"funder_award_id":"61273106 and 11171290","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6224574554","display_name":null,"funder_award_id":"11202180","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G747072754","display_name":null,"funder_award_id":"11402224","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":50,"referenced_works":["https://openalex.org/W3950500","https://openalex.org/W242476103","https://openalex.org/W586036122","https://openalex.org/W1421858863","https://openalex.org/W1427684937","https://openalex.org/W1448742899","https://openalex.org/W1455917057","https://openalex.org/W1462036404","https://openalex.org/W1811601109","https://openalex.org/W1967332757","https://openalex.org/W1972634840","https://openalex.org/W1984257705","https://openalex.org/W1990987436","https://openalex.org/W1994859578","https://openalex.org/W1998630995","https://openalex.org/W2018522871","https://openalex.org/W2031668778","https://openalex.org/W2036870441","https://openalex.org/W2040069863","https://openalex.org/W2044729063","https://openalex.org/W2048327350","https://openalex.org/W2048765588","https://openalex.org/W2059545648","https://openalex.org/W2067951364","https://openalex.org/W2069436097","https://openalex.org/W2079257011","https://openalex.org/W2086533323","https://openalex.org/W2090016705","https://openalex.org/W2102892532","https://openalex.org/W2103748903","https://openalex.org/W2111360810","https://openalex.org/W2115918172","https://openalex.org/W2125566231","https://openalex.org/W2141394518","https://openalex.org/W2141662965","https://openalex.org/W2145617061","https://openalex.org/W2152254020","https://openalex.org/W2169982364","https://openalex.org/W2171987742","https://openalex.org/W2219161869","https://openalex.org/W2266042337","https://openalex.org/W2319596756","https://openalex.org/W2408502140","https://openalex.org/W2410213771","https://openalex.org/W2413336514","https://openalex.org/W2964079314","https://openalex.org/W4247794243","https://openalex.org/W4285719527","https://openalex.org/W4292510609","https://openalex.org/W4300473623"],"related_works":["https://openalex.org/W2097365805","https://openalex.org/W2036870441","https://openalex.org/W2413336514","https://openalex.org/W3158046166","https://openalex.org/W2021696231","https://openalex.org/W2891065597","https://openalex.org/W2185053312","https://openalex.org/W4388853539","https://openalex.org/W4289542543","https://openalex.org/W4385067224"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"a":[3,10,14,61],"new":[4],"class":[5],"of":[6,17,34,63,65,88],"three-dimensional":[7],"maps":[8,68],"in":[9,30],"Jerk-like":[11],"structure":[12],"with":[13],"special":[15],"concern":[16],"their":[18],"hidden":[19,27,57,80,92],"chaotic":[20,28,58,81,93],"dynamics.":[21],"Our":[22],"investigation":[23],"focuses":[24],"on":[25],"the":[26,66,77,86,91,101],"attractors":[29,82,94],"three":[31],"typical":[32],"scenarios":[33],"fixed":[35,39,42,46],"points,":[36],"namely":[37],"no":[38],"point,":[40,43],"single":[41],"and":[44,60,85],"two":[45],"points.":[47],"A":[48],"systematic":[49],"computer":[50],"search":[51],"is":[52,107],"performed":[53],"to":[54,79],"explore":[55],"possible":[56],"attractors,":[59],"number":[62],"examples":[64],"proposed":[67],"are":[69,83],"used":[70],"for":[71,90,105],"demonstration.":[72],"Numerical":[73],"results":[74],"show":[75],"that":[76,99],"routes":[78],"complex,":[84],"basins":[87],"attraction":[89],"could":[95],"be":[96],"tiny,":[97],"so":[98],"using":[100],"standard":[102],"computational":[103],"procedure":[104],"localization":[106],"impossible.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}