{"id":"https://openalex.org/W4304889878","doi":"https://doi.org/10.1142/s0218127422501826","title":"Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz\u2013Chen System","display_name":"Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz\u2013Chen System","publication_year":2022,"publication_date":"2022-09-30","ids":{"openalex":"https://openalex.org/W4304889878","doi":"https://doi.org/10.1142/s0218127422501826"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422501826","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501826","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/A5005756770","display_name":"Hao Zhou","orcid":"https://orcid.org/0000-0002-6242-8307"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Zhou","raw_affiliation_strings":["School of Mathematics and Statistics, Shaanxi Normal University, Xi\u2019an 710119, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shaanxi Normal University, Xi\u2019an 710119, P. R. China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041520845","display_name":"Sanyi Tang","orcid":"https://orcid.org/0000-0002-3324-746X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanyi Tang","raw_affiliation_strings":["School of Mathematics and Statistics, Shaanxi Normal University, Xi\u2019an 710119, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shaanxi Normal University, Xi\u2019an 710119, P. R. China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005756770"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":null,"apc_paid":null,"fwci":1.9987,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86546355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9998000264167786,"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"}},{"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8619540929794312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6834887862205505},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.6776629686355591},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5888891220092773},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48733529448509216},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.48230934143066406},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.47471845149993896},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.47096163034439087},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.43899279832839966},{"id":"https://openalex.org/keywords/crisis","display_name":"Crisis","score":0.4143965542316437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3958556056022644},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38193613290786743},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.38192620873451233},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33166980743408203},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3272123634815216},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17411395907402039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17238426208496094},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07943716645240784},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.07350337505340576}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8619540929794312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6834887862205505},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.6776629686355591},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5888891220092773},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48733529448509216},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.48230934143066406},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.47471845149993896},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.47096163034439087},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.43899279832839966},{"id":"https://openalex.org/C78302928","wikidata":"https://www.wikidata.org/wiki/Q5185947","display_name":"Crisis","level":4,"score":0.4143965542316437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3958556056022644},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38193613290786743},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.38192620873451233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33166980743408203},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3272123634815216},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17411395907402039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17238426208496094},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07943716645240784},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.07350337505340576},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/s0218127422501826","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501826","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":[{"display_name":"Sustainable cities and communities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G372187038","display_name":null,"funder_award_id":"2021CBLY002","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4513732839","display_name":null,"funder_award_id":"61772017","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W122965473","https://openalex.org/W1552277675","https://openalex.org/W1983746662","https://openalex.org/W1996518355","https://openalex.org/W2021696231","https://openalex.org/W2035576220","https://openalex.org/W2036870441","https://openalex.org/W2047449028","https://openalex.org/W2065242464","https://openalex.org/W2069436097","https://openalex.org/W2070798748","https://openalex.org/W2104971934","https://openalex.org/W2113729838","https://openalex.org/W2120458580","https://openalex.org/W2141394518","https://openalex.org/W2151223939","https://openalex.org/W2590290879","https://openalex.org/W2780573926","https://openalex.org/W2792467527","https://openalex.org/W2905567276","https://openalex.org/W2926309618","https://openalex.org/W2950687877","https://openalex.org/W2954309393","https://openalex.org/W2955319508","https://openalex.org/W2955637515","https://openalex.org/W2979320982","https://openalex.org/W3041453875","https://openalex.org/W3156077028","https://openalex.org/W3164731291","https://openalex.org/W4231102510","https://openalex.org/W4292994524","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W2185766792","https://openalex.org/W2348097778","https://openalex.org/W2036870441","https://openalex.org/W2410336490","https://openalex.org/W3158046166","https://openalex.org/W3037847165","https://openalex.org/W2891065597","https://openalex.org/W2185053312","https://openalex.org/W4288096987","https://openalex.org/W2780885364"],"abstract_inverted_index":{"In":[0,66],"this":[1],"paper,":[2],"we":[3,28,68],"propose":[4],"a":[5,116,123,130,138],"Filippov":[6,33,113],"switching":[7],"model":[8],"which":[9],"is":[10],"composed":[11],"of":[12,24,40,80,88,96,118,126,133,141],"the":[13,20,31,38,41,78,86,94,111],"Lorenz":[14,42,60],"and":[15,43,83,91,100,106,137],"Chen":[16,44],"systems.":[17],"By":[18],"employing":[19],"qualitative":[21],"analysis":[22],"techniques":[23],"nonsmooth":[25,104],"dynamical":[26],"systems,":[27],"show":[29],"that":[30,70,110],"new":[32,49,52,72,119],"system":[34,114],"not":[35],"only":[36],"inherits":[37],"properties":[39],"systems":[45],"but":[46],"also":[47],"presents":[48],"dynamics":[50],"including":[51,122],"chaotic":[53,84],"attractors":[54,73,82,90],"such":[55,76],"as":[56,77],"four-wing":[57],"butterfly":[58],"attractor,":[59,85],"attractor":[61],"with":[62],"sliding":[63,120,127,134],"segments,":[64],"etc.":[65],"particular,":[67],"find":[69],"different":[71],"can":[74],"coexist":[75],"coexistence":[79,87,95],"two-point":[81,89],"quasi-periodic":[92,101],"solution,":[93],"transient":[97],"transition":[98],"chaos":[99],"solution.":[102],"Furthermore,":[103],"bifurcations":[105,121],"numerical":[107],"analyses":[108],"reveal":[109],"proposed":[112],"has":[115],"series":[117],"symmetric":[124,131,139],"pair":[125,132,140],"mode":[128],"bifurcations,":[129,136],"Hopf":[135],"Hopf-like":[142],"boundary":[143],"equilibrium":[144],"bifurcations.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
