{"id":"https://openalex.org/W2905143951","doi":"https://doi.org/10.1142/s021812741850164x","title":"Some New Dissipative Chaotic Systems with Cyclic Symmetry","display_name":"Some New Dissipative Chaotic Systems with Cyclic Symmetry","publication_year":2018,"publication_date":"2018-12-12","ids":{"openalex":"https://openalex.org/W2905143951","doi":"https://doi.org/10.1142/s021812741850164x","mag":"2905143951"},"language":"en","primary_location":{"id":"doi:10.1142/s021812741850164x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741850164x","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/A5057487605","display_name":"Karthikeyan Rajagopal","orcid":"https://orcid.org/0000-0003-2993-7182"},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]},{"id":"https://openalex.org/I4210147662","display_name":"Ethiopian Defence University","ror":"https://ror.org/04v3p2s41","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210147662"]}],"countries":["ET","ZA"],"is_corresponding":false,"raw_author_name":"Karthikeyan Rajagopal","raw_affiliation_strings":["Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia","Department of Electronics Engineering, Durban University of Technology, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia","institution_ids":["https://openalex.org/I4210147662"]},{"raw_affiliation_string":"Department of Electronics Engineering, Durban University of Technology, Durban, South Africa","institution_ids":["https://openalex.org/I177181097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067878458","display_name":"Shirin Panahi","orcid":"https://orcid.org/0000-0003-3436-3929"},"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":"Shirin Panahi","raw_affiliation_strings":["Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010383351","display_name":"Anitha Karthikeyan","orcid":"https://orcid.org/0000-0001-6485-4687"},"institutions":[{"id":"https://openalex.org/I4210147662","display_name":"Ethiopian Defence University","ror":"https://ror.org/04v3p2s41","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210147662"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Anitha Karthikeyan","raw_affiliation_strings":["Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia","institution_ids":["https://openalex.org/I4210147662"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108681726","display_name":"Ahmed Alsaedi","orcid":"https://orcid.org/0000-0003-3452-8922"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmed Alsaedi","raw_affiliation_strings":["NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"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/I141445968","display_name":"Ton Duc Thang University","ror":"https://ror.org/01drq0835","country_code":"VN","type":"education","lineage":["https://openalex.org/I141445968"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Viet-Thanh Pham","raw_affiliation_strings":["Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam"],"raw_orcid":"https://orcid.org/0000-0001-5151-9812","affiliations":[{"raw_affiliation_string":"Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I141445968"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068730007","display_name":"Tasawar Hayat","orcid":"https://orcid.org/0000-0001-5952-4106"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Tasawar Hayat","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan","NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5029973339"],"corresponding_institution_ids":["https://openalex.org/I141445968"],"apc_list":null,"apc_paid":null,"fwci":0.7835,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.71382351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"13","first_page":"1850164","last_page":"1850164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9646999835968018,"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":0.9639999866485596,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8285357356071472},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7283076643943787},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7164862155914307},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6990728974342346},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6341482400894165},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6016733050346375},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5279012322425842},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.49074065685272217},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.48259437084198},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45469656586647034},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.4355010390281677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.422137975692749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3980218172073364},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23868116736412048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2182377576828003},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1717948317527771},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0968216061592102},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06777268648147583}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8285357356071472},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7283076643943787},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7164862155914307},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6990728974342346},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6341482400894165},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6016733050346375},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5279012322425842},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49074065685272217},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.48259437084198},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45469656586647034},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.4355010390281677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.422137975692749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3980218172073364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23868116736412048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2182377576828003},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1717948317527771},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0968216061592102},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06777268648147583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812741850164x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741850164x","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":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"},{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W297325920","https://openalex.org/W799603135","https://openalex.org/W1462036404","https://openalex.org/W1656086158","https://openalex.org/W1967332757","https://openalex.org/W1972634840","https://openalex.org/W1990987436","https://openalex.org/W1994859578","https://openalex.org/W2044729063","https://openalex.org/W2045103341","https://openalex.org/W2048765588","https://openalex.org/W2049576731","https://openalex.org/W2068983734","https://openalex.org/W2080121852","https://openalex.org/W2111360810","https://openalex.org/W2124492188","https://openalex.org/W2126893827","https://openalex.org/W2127445253","https://openalex.org/W2152254020","https://openalex.org/W2157551165","https://openalex.org/W2213970946","https://openalex.org/W2296564688","https://openalex.org/W2310328467","https://openalex.org/W2337891072","https://openalex.org/W2408502140","https://openalex.org/W2468907312","https://openalex.org/W2489857314","https://openalex.org/W2496576690","https://openalex.org/W2521063593","https://openalex.org/W2542941274","https://openalex.org/W2562096711","https://openalex.org/W2588335543","https://openalex.org/W2594650004","https://openalex.org/W2599419876","https://openalex.org/W2603691148","https://openalex.org/W2667626071","https://openalex.org/W2736287252","https://openalex.org/W2739999594","https://openalex.org/W2752441917","https://openalex.org/W2763458410","https://openalex.org/W2770867965","https://openalex.org/W2773179437","https://openalex.org/W2775599534","https://openalex.org/W2780815966","https://openalex.org/W2781191367","https://openalex.org/W2782784530","https://openalex.org/W2783719895","https://openalex.org/W2793563533","https://openalex.org/W4247794243"],"related_works":["https://openalex.org/W2371200319","https://openalex.org/W2367609594","https://openalex.org/W2350320737","https://openalex.org/W1979229270","https://openalex.org/W2391455523","https://openalex.org/W2739518152","https://openalex.org/W2091416718","https://openalex.org/W2062327117","https://openalex.org/W2080177789","https://openalex.org/W1595367867"],"abstract_inverted_index":{"Designing":[0],"new":[1,18],"chaotic":[2,19],"system":[3],"with":[4,21],"specific":[5],"features":[6],"is":[7,75,93],"an":[8],"interesting":[9],"field":[10],"in":[11],"nonlinear":[12],"dynamics.":[13],"In":[14,26],"this":[15],"paper,":[16],"some":[17],"systems":[20,59,74,85],"cyclic":[22],"symmetry":[23],"are":[24,48,60,87],"proposed.":[25],"order":[27],"to":[28,77,96],"understand":[29],"the":[30,36,68,79,90],"overall":[31],"behavior":[32],"of":[33,53,70,72,81,83],"such":[34,39],"systems,":[35],"dynamical":[37],"analyses":[38],"as":[40],"stability":[41],"analysis,":[42],"bifurcation":[43,54],"and":[44],"Lyapunov":[45],"exponent":[46],"analysis":[47],"done.":[49],"The":[50],"accurate":[51],"examination":[52],"plot":[55],"represents":[56],"that":[57],"these":[58,73,84],"multistable":[61],"which":[62,86],"makes":[63],"them":[64],"more":[65],"interesting.":[66],"Also,":[67],"basin":[69],"attraction":[71],"investigated":[76],"detect":[78],"type":[80],"attractors":[82],"self-excited.":[88],"Finally,":[89],"circuit":[91],"implementation":[92],"carried":[94],"out":[95],"show":[97],"their":[98],"feasibility.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}