{"id":"https://openalex.org/W2592338310","doi":"https://doi.org/10.1007/978-3-319-50249-6_21","title":"A Three-Dimensional Chaotic System with Square Equilibrium and No-Equilibrium","display_name":"A Three-Dimensional Chaotic System with Square Equilibrium and No-Equilibrium","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2592338310","doi":"https://doi.org/10.1007/978-3-319-50249-6_21","mag":"2592338310"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-50249-6_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-50249-6_21","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},"type":"book-chapter","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/A5058754932","display_name":"Viet\u2013Thanh Pham","orcid":"https://orcid.org/0000-0001-9045-3633"},"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":true,"raw_author_name":"Viet-Thanh Pham","raw_affiliation_strings":["School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051386391","display_name":"Sundarapandian Va\u0131dyanathan","orcid":"https://orcid.org/0000-0003-4696-908X"},"institutions":[{"id":"https://openalex.org/I1330855593","display_name":"Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology","ror":"https://ror.org/05bc5bx80","country_code":"IN","type":"education","lineage":["https://openalex.org/I1330855593"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sundarapandian Vaidyanathan","raw_affiliation_strings":["Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, Tamil Nadu, India","Research and Development Centre, Vel Tech University, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, Tamil Nadu, India","institution_ids":["https://openalex.org/I1330855593"]},{"raw_affiliation_string":"Research and Development Centre, Vel Tech University, Tamil Nadu, India","institution_ids":["https://openalex.org/I1330855593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061639181","display_name":"Christos Volos","orcid":"https://orcid.org/0000-0001-8763-7255"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Christos K. Volos","raw_affiliation_strings":["Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"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":["Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067751360","display_name":"Tom\u00e1\u0161 G\u00f6tthans","orcid":"https://orcid.org/0000-0002-0386-1813"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Tomas Gotthans","raw_affiliation_strings":["Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058754932"],"corresponding_institution_ids":["https://openalex.org/I94518387"],"apc_list":null,"apc_paid":null,"fwci":3.2693,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92517936,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"613","last_page":"635"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9962000250816345,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9829000234603882,"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":0.8158214092254639},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.8058936595916748},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.7938504219055176},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7657291889190674},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5918381810188293},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5727468132972717},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5174399018287659},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4635905623435974},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.46273764967918396},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44726812839508057},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.4147208333015442},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4145331084728241},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38205859065055847},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37841513752937317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3602738380432129},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.21766850352287292},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16291099786758423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14146092534065247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1320526897907257},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10997691750526428}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8158214092254639},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8058936595916748},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.7938504219055176},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7657291889190674},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5918381810188293},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5727468132972717},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5174399018287659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4635905623435974},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.46273764967918396},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44726812839508057},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.4147208333015442},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4145331084728241},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38205859065055847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37841513752937317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3602738380432129},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.21766850352287292},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16291099786758423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14146092534065247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1320526897907257},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10997691750526428},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"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":1,"locations":[{"id":"doi:10.1007/978-3-319-50249-6_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-50249-6_21","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":121,"referenced_works":["https://openalex.org/W29524554","https://openalex.org/W39649792","https://openalex.org/W54675925","https://openalex.org/W180010315","https://openalex.org/W259286310","https://openalex.org/W269698247","https://openalex.org/W566859734","https://openalex.org/W646479561","https://openalex.org/W906023094","https://openalex.org/W1421858863","https://openalex.org/W1427684937","https://openalex.org/W1448742899","https://openalex.org/W1464403884","https://openalex.org/W1509146820","https://openalex.org/W1561445488","https://openalex.org/W1603797985","https://openalex.org/W1778495026","https://openalex.org/W1961750730","https://openalex.org/W1966342131","https://openalex.org/W1967008192","https://openalex.org/W1967158542","https://openalex.org/W1967332757","https://openalex.org/W1968103460","https://openalex.org/W1970442252","https://openalex.org/W1972634840","https://openalex.org/W1973208268","https://openalex.org/W1975785413","https://openalex.org/W1989230098","https://openalex.org/W1990907571","https://openalex.org/W1990987436","https://openalex.org/W1998630995","https://openalex.org/W2001944982","https://openalex.org/W2007742500","https://openalex.org/W2008052025","https://openalex.org/W2010835136","https://openalex.org/W2011304180","https://openalex.org/W2012883538","https://openalex.org/W2013440826","https://openalex.org/W2015687261","https://openalex.org/W2018522871","https://openalex.org/W2021554636","https://openalex.org/W2023600694","https://openalex.org/W2028482099","https://openalex.org/W2029194539","https://openalex.org/W2030308994","https://openalex.org/W2032347897","https://openalex.org/W2036870441","https://openalex.org/W2039146318","https://openalex.org/W2040069863","https://openalex.org/W2040481271","https://openalex.org/W2043260105","https://openalex.org/W2046463111","https://openalex.org/W2048765588","https://openalex.org/W2055759311","https://openalex.org/W2065437660","https://openalex.org/W2066931334","https://openalex.org/W2069183033","https://openalex.org/W2069436097","https://openalex.org/W2072663637","https://openalex.org/W2077543457","https://openalex.org/W2079257011","https://openalex.org/W2080121852","https://openalex.org/W2084833892","https://openalex.org/W2088557208","https://openalex.org/W2090238903","https://openalex.org/W2093856783","https://openalex.org/W2107361071","https://openalex.org/W2118698203","https://openalex.org/W2119566600","https://openalex.org/W2141394518","https://openalex.org/W2141662965","https://openalex.org/W2152254020","https://openalex.org/W2153938810","https://openalex.org/W2154953502","https://openalex.org/W2156367245","https://openalex.org/W2169982364","https://openalex.org/W2221749942","https://openalex.org/W2224848586","https://openalex.org/W2266042337","https://openalex.org/W2268180075","https://openalex.org/W2278867993","https://openalex.org/W2284325902","https://openalex.org/W2294239831","https://openalex.org/W2301947605","https://openalex.org/W2303324995","https://openalex.org/W2315169760","https://openalex.org/W2318192473","https://openalex.org/W2338295330","https://openalex.org/W2338342175","https://openalex.org/W2341029569","https://openalex.org/W2403590993","https://openalex.org/W2419264128","https://openalex.org/W2460162024","https://openalex.org/W2466873868","https://openalex.org/W2470886189","https://openalex.org/W2472130826","https://openalex.org/W2472753074","https://openalex.org/W2479943116","https://openalex.org/W2483948497","https://openalex.org/W2486971680","https://openalex.org/W2496600137","https://openalex.org/W2497008666","https://openalex.org/W2503005566","https://openalex.org/W2605543710","https://openalex.org/W2610196460","https://openalex.org/W2620823671","https://openalex.org/W2896075089","https://openalex.org/W2897256236","https://openalex.org/W2964079314","https://openalex.org/W4206744643","https://openalex.org/W4229865216","https://openalex.org/W4232791813","https://openalex.org/W4247794243","https://openalex.org/W4252959020","https://openalex.org/W4253062931","https://openalex.org/W4297900861","https://openalex.org/W4388249796","https://openalex.org/W6633417895","https://openalex.org/W6636201500","https://openalex.org/W6657395307","https://openalex.org/W6716817643"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W1083439616","https://openalex.org/W2978842908","https://openalex.org/W2023046846","https://openalex.org/W2093909018","https://openalex.org/W2374651525","https://openalex.org/W3138933321","https://openalex.org/W2147537746","https://openalex.org/W2792287411","https://openalex.org/W2069679324"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
