{"id":"https://openalex.org/W2268023142","doi":"https://doi.org/10.1007/s00034-016-0259-x","title":"Three-Dimensional Chaotic Autonomous System with a Circular Equilibrium: Analysis, Circuit Implementation and Its Fractional-Order Form","display_name":"Three-Dimensional Chaotic Autonomous System with a Circular Equilibrium: Analysis, Circuit Implementation and Its Fractional-Order Form","publication_year":2016,"publication_date":"2016-02-02","ids":{"openalex":"https://openalex.org/W2268023142","doi":"https://doi.org/10.1007/s00034-016-0259-x","mag":"2268023142"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-016-0259-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-016-0259-x","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","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/A5058770016","display_name":"Sifeu Takougang Kingni","orcid":null},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]},{"id":"https://openalex.org/I213072177","display_name":"University of Maroua","ror":"https://ror.org/051sa4h84","country_code":"CM","type":"education","lineage":["https://openalex.org/I213072177"]},{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE","CM"],"is_corresponding":true,"raw_author_name":"Sifeu Takougang Kingni","raw_affiliation_strings":["Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium","Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon","Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP) and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 812, Yaound\u00e9, Cameroon"],"affiliations":[{"raw_affiliation_string":"Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon","institution_ids":["https://openalex.org/I213072177"]},{"raw_affiliation_string":"Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP) and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 812, Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029973339","display_name":"Viet\u2013Thanh Pham","orcid":"https://orcid.org/0000-0001-5151-9812"},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Viet-Thanh Pham","raw_affiliation_strings":["School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014962078","display_name":"Sajad Jafari","orcid":"https://orcid.org/0000-0002-6845-7539"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sajad Jafari","raw_affiliation_strings":["Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103006153","display_name":"Guy Richard Kol","orcid":"https://orcid.org/0000-0002-9959-2709"},"institutions":[{"id":"https://openalex.org/I213072177","display_name":"University of Maroua","ror":"https://ror.org/051sa4h84","country_code":"CM","type":"education","lineage":["https://openalex.org/I213072177"]},{"id":"https://openalex.org/I59196294","display_name":"University of Ngaound\u00e9r\u00e9","ror":"https://ror.org/03gq1d339","country_code":"CM","type":"education","lineage":["https://openalex.org/I59196294"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Guy Richard Kol","raw_affiliation_strings":["Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon","School of Geology and Mining Engineering, University of Ngaound\u00e9r\u00e9, P.O. Box 454, Ngaound\u00e9r\u00e9, Cameroon"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon","institution_ids":["https://openalex.org/I213072177"]},{"raw_affiliation_string":"School of Geology and Mining Engineering, University of Ngaound\u00e9r\u00e9, P.O. Box 454, Ngaound\u00e9r\u00e9, Cameroon","institution_ids":["https://openalex.org/I59196294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043084496","display_name":"P. Woafo","orcid":"https://orcid.org/0000-0002-7918-4118"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Paul Woafo","raw_affiliation_strings":["Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP) and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 812, Yaound\u00e9, Cameroon"],"affiliations":[{"raw_affiliation_string":"Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP) and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaound\u00e9 I, P.O. Box 812, Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058770016"],"corresponding_institution_ids":["https://openalex.org/I1331070479","https://openalex.org/I13469542","https://openalex.org/I213072177"],"apc_list":null,"apc_paid":null,"fwci":12.4988,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.98993955,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"35","issue":"6","first_page":"1933","last_page":"1948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9886999726295471,"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/phase-portrait","display_name":"Phase portrait","score":0.8193711042404175},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7495458126068115},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7253002524375916},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6873558163642883},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.4879593253135681},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.47114577889442444},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4426320195198059},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.43517589569091797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40925008058547974},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3801010251045227},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3790694773197174},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33113348484039307},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.31016096472740173},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28727471828460693},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2791520953178406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2627779245376587},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.058901846408843994}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8193711042404175},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7495458126068115},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7253002524375916},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6873558163642883},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.4879593253135681},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.47114577889442444},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4426320195198059},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.43517589569091797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40925008058547974},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3801010251045227},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3790694773197174},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33113348484039307},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.31016096472740173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28727471828460693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2791520953178406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2627779245376587},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.058901846408843994},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00034-016-0259-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-016-0259-x","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:137224","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/threedimensional-chaotic-autonomous-system-with-a-circular-equilibrium-analysis-circuit-implementation-and-its-fractionalorder-form(3bf9b5c0-daef-48f8-91b8-5917ad3f0fc5).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:236197","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W101544265","https://openalex.org/W318284257","https://openalex.org/W639844463","https://openalex.org/W1509146820","https://openalex.org/W1965746978","https://openalex.org/W1967008192","https://openalex.org/W1972634840","https://openalex.org/W1972710510","https://openalex.org/W1975785413","https://openalex.org/W1988848880","https://openalex.org/W1990427148","https://openalex.org/W1990907571","https://openalex.org/W1990987436","https://openalex.org/W1993083699","https://openalex.org/W1994859578","https://openalex.org/W1998630995","https://openalex.org/W2001759490","https://openalex.org/W2004487869","https://openalex.org/W2005010408","https://openalex.org/W2007263170","https://openalex.org/W2009587056","https://openalex.org/W2012578401","https://openalex.org/W2030991498","https://openalex.org/W2035567443","https://openalex.org/W2036870441","https://openalex.org/W2036891784","https://openalex.org/W2037005573","https://openalex.org/W2040069863","https://openalex.org/W2041444537","https://openalex.org/W2041867553","https://openalex.org/W2043260105","https://openalex.org/W2048765588","https://openalex.org/W2054959383","https://openalex.org/W2066465583","https://openalex.org/W2067951364","https://openalex.org/W2068387009","https://openalex.org/W2068766851","https://openalex.org/W2068959076","https://openalex.org/W2069183033","https://openalex.org/W2069436097","https://openalex.org/W2080121852","https://openalex.org/W2083253205","https://openalex.org/W2091220454","https://openalex.org/W2091527099","https://openalex.org/W2091556669","https://openalex.org/W2092360752","https://openalex.org/W2096742667","https://openalex.org/W2114810947","https://openalex.org/W2119566600","https://openalex.org/W2120749007","https://openalex.org/W2133212055","https://openalex.org/W2141394518","https://openalex.org/W2141662965","https://openalex.org/W2143885661","https://openalex.org/W2164315701","https://openalex.org/W2167397714","https://openalex.org/W2169982364","https://openalex.org/W2294239831","https://openalex.org/W2403590993","https://openalex.org/W2964079314","https://openalex.org/W4212878953","https://openalex.org/W4243246758","https://openalex.org/W4253062931","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W1083439616","https://openalex.org/W2978842908","https://openalex.org/W3048968476","https://openalex.org/W2023046846","https://openalex.org/W2093909018","https://openalex.org/W3138933321","https://openalex.org/W2374651525","https://openalex.org/W2147537746","https://openalex.org/W2788936494"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":20},{"year":2016,"cited_by_count":8}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
