{"id":"https://openalex.org/W2111360810","doi":"https://doi.org/10.1142/s0218127414501272","title":"Hidden Hyperchaotic Attractors in a Modified Lorenz\u2013Stenflo System with Only One Stable Equilibrium","display_name":"Hidden Hyperchaotic Attractors in a Modified Lorenz\u2013Stenflo System with Only One Stable Equilibrium","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2111360810","doi":"https://doi.org/10.1142/s0218127414501272","mag":"2111360810"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127414501272","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414501272","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/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"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouchao Wei","raw_affiliation_strings":["College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]},{"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/A5100692237","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0003-0210-5642"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zhang","raw_affiliation_strings":["College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"College of Mechanical Engineering , Beijing University of Technology , Beijing 100124 , P.R. China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.99,"has_fulltext":false,"cited_by_count":159,"citation_normalized_percentile":{"value":0.98876516,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"24","issue":"10","first_page":"1450127","last_page":"1450127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9975000023841858,"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":0.9968000054359436,"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/attractor","display_name":"Attractor","score":0.8647119402885437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6918030381202698},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6786608695983887},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5965595841407776},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5276393294334412},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.47355833649635315},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.43616795539855957},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.41244256496429443},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37473350763320923},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3614182472229004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33946678042411804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17031031847000122},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16108772158622742},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.090312659740448},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07182559370994568},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.06912556290626526},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.056120485067367554}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8647119402885437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6918030381202698},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6786608695983887},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5965595841407776},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5276393294334412},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.47355833649635315},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.43616795539855957},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.41244256496429443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37473350763320923},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3614182472229004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33946678042411804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17031031847000122},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16108772158622742},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.090312659740448},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07182559370994568},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.06912556290626526},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.056120485067367554}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127414501272","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414501272","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W126935648","https://openalex.org/W1863658077","https://openalex.org/W1967008192","https://openalex.org/W1967332757","https://openalex.org/W1970105125","https://openalex.org/W1970650503","https://openalex.org/W1973078866","https://openalex.org/W1985153874","https://openalex.org/W1990987436","https://openalex.org/W1994859578","https://openalex.org/W1998630995","https://openalex.org/W2009483907","https://openalex.org/W2014938677","https://openalex.org/W2031668778","https://openalex.org/W2036870441","https://openalex.org/W2040069863","https://openalex.org/W2042868976","https://openalex.org/W2049576731","https://openalex.org/W2063006025","https://openalex.org/W2065766143","https://openalex.org/W2067316360","https://openalex.org/W2068676369","https://openalex.org/W2069436097","https://openalex.org/W2070724789","https://openalex.org/W2086533323","https://openalex.org/W2092360752","https://openalex.org/W2103748903","https://openalex.org/W2114810947","https://openalex.org/W2115918172","https://openalex.org/W2141394518","https://openalex.org/W2141662965","https://openalex.org/W2152254020","https://openalex.org/W2168627751","https://openalex.org/W2169982364","https://openalex.org/W2172083831","https://openalex.org/W2402308983","https://openalex.org/W2963018423","https://openalex.org/W2964079314","https://openalex.org/W3106490055"],"related_works":["https://openalex.org/W4289542543","https://openalex.org/W2891065597","https://openalex.org/W1509796342","https://openalex.org/W1742246664","https://openalex.org/W3158046166","https://openalex.org/W2033042940","https://openalex.org/W2089902280","https://openalex.org/W862474055","https://openalex.org/W2145782975","https://openalex.org/W2810701175"],"abstract_inverted_index":{"This":[0],"paper":[1],"reports":[2],"the":[3,34,42,61,79,88,112,115,123,132],"finding":[4],"of":[5,33,81],"a":[6],"four-dimensional":[7],"(4D)":[8],"non-Sil'nikov":[9,35],"autonomous":[10],"system":[11,45,64,89,127],"with":[12,25],"three":[13],"quadratic":[14],"nonlinearities,":[15],"which":[16],"exhibits":[17],"some":[18,91],"behavior":[19],"previously":[20],"unobserved:":[21],"hidden":[22,73],"hyperchaotic":[23,43,100,104,125],"attractors":[24],"only":[26,66],"one":[27,67],"stable":[28,68],"equilibrium.":[29],"The":[30],"algebraical":[31],"form":[32],"chaotic":[36],"attractor":[37,101,105],"is":[38,60],"very":[39],"similar":[40],"to":[41],"Lorenz\u2013Stenflo":[44,126],"but":[46,70],"they":[47],"are":[48,128,140],"different":[49,95],"and,":[50],"in":[51,54,87],"fact,":[52],"nonequivalent":[53],"topological":[55],"structures.":[56],"Of":[57],"particular":[58],"interest":[59],"fact":[62],"this":[63],"has":[65],"equilibrium,":[69],"can":[71,84],"exhibit":[72],"hyperchaos,":[74],"chaos,":[75],"periodic":[76],"orbit.":[77,108],"Moreover,":[78,131],"coexistence":[80],"attracting":[82],"sets":[83],"be":[85],"obtained":[86],"for":[90,122,136],"parameter":[92],"values":[93],"and":[94,102,106,118,143],"initial":[96],"conditions,":[97],"such":[98],"as":[99],"point,":[103],"period":[107],"To":[109],"further":[110],"analyze":[111],"new":[113],"system,":[114],"ultimate":[116],"bound":[117],"positively":[119],"invariant":[120],"set":[121],"modified":[124],"also":[129],"obtained.":[130],"complete":[133],"mathematical":[134],"characterizations":[135],"4D":[137],"Hopf":[138],"bifurcation":[139],"rigorously":[141],"derived":[142],"studied.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":29},{"year":2017,"cited_by_count":27},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":7}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}