{"id":"https://openalex.org/W2565482338","doi":"https://doi.org/10.1142/s0218127416502114","title":"The Relationship Between Chaotic Maps and Some Chaotic Systems with Hidden Attractors","display_name":"The Relationship Between Chaotic Maps and Some Chaotic Systems with Hidden Attractors","publication_year":2016,"publication_date":"2016-12-15","ids":{"openalex":"https://openalex.org/W2565482338","doi":"https://doi.org/10.1142/s0218127416502114","mag":"2565482338"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416502114","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502114","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/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":true,"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/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/A5102872024","display_name":"Seyed Mohammad Reza Hashemi Golpayegani","orcid":null},"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":"S. Mohammad Reza Hashemi Golpayegani","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/A5026472235","display_name":"Motahareh Moghtadaei","orcid":"https://orcid.org/0000-0001-9721-1346"},"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":"Motahareh Moghtadaei","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":"last","author":{"id":"https://openalex.org/A5058770016","display_name":"Sifeu Takougang Kingni","orcid":null},"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"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Sifeu Takougang Kingni","raw_affiliation_strings":["Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, 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"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5014962078"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":null,"apc_paid":null,"fwci":8.4034,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.98072968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"26","issue":"13","first_page":"1650211","last_page":"1650211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987999796867371,"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":0.9987999796867371,"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":0.996399998664856,"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":0.9944000244140625,"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":0.9422146081924438},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.8911234140396118},{"id":"https://openalex.org/keywords/r\u00f6ssler-attractor","display_name":"R\u00f6ssler attractor","score":0.6776554584503174},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.6539923548698425},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5439907908439636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5152919292449951},{"id":"https://openalex.org/keywords/crisis","display_name":"Crisis","score":0.47957152128219604},{"id":"https://openalex.org/keywords/chaotic-hysteresis","display_name":"Chaotic hysteresis","score":0.43055039644241333},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43046462535858154},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.4251737594604492},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4173600673675537},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.29153820872306824},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.2890394330024719},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.2801761031150818},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24573686718940735},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19993102550506592},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15486666560173035},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09512409567832947},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.05488276481628418}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9422146081924438},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8911234140396118},{"id":"https://openalex.org/C192872217","wikidata":"https://www.wikidata.org/wiki/Q720574","display_name":"R\u00f6ssler attractor","level":3,"score":0.6776554584503174},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.6539923548698425},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5439907908439636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5152919292449951},{"id":"https://openalex.org/C78302928","wikidata":"https://www.wikidata.org/wiki/Q5185947","display_name":"Crisis","level":4,"score":0.47957152128219604},{"id":"https://openalex.org/C207219937","wikidata":"https://www.wikidata.org/wiki/Q5072841","display_name":"Chaotic hysteresis","level":5,"score":0.43055039644241333},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43046462535858154},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.4251737594604492},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4173600673675537},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.29153820872306824},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2890394330024719},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.2801761031150818},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24573686718940735},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19993102550506592},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15486666560173035},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09512409567832947},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.05488276481628418},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127416502114","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502114","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W242476103","https://openalex.org/W899074767","https://openalex.org/W1448742899","https://openalex.org/W1464403884","https://openalex.org/W1965746978","https://openalex.org/W1967332757","https://openalex.org/W1972634840","https://openalex.org/W1975785413","https://openalex.org/W1978247232","https://openalex.org/W1990907571","https://openalex.org/W1990987436","https://openalex.org/W1994859578","https://openalex.org/W1998630995","https://openalex.org/W1998942494","https://openalex.org/W2012578401","https://openalex.org/W2013440826","https://openalex.org/W2040069863","https://openalex.org/W2043260105","https://openalex.org/W2045631421","https://openalex.org/W2046732414","https://openalex.org/W2048765588","https://openalex.org/W2069183033","https://openalex.org/W2090016705","https://openalex.org/W2095890179","https://openalex.org/W2104555619","https://openalex.org/W2119566600","https://openalex.org/W2124970715","https://openalex.org/W2127160608","https://openalex.org/W2127445253","https://openalex.org/W2140954225","https://openalex.org/W2141662965","https://openalex.org/W2163904061","https://openalex.org/W2165801592","https://openalex.org/W2169982364","https://openalex.org/W2213970946","https://openalex.org/W2266042337","https://openalex.org/W2268180075","https://openalex.org/W2396706488","https://openalex.org/W2403590993","https://openalex.org/W2964079314"],"related_works":["https://openalex.org/W2346598424","https://openalex.org/W2354020126","https://openalex.org/W3104914783","https://openalex.org/W2094388062","https://openalex.org/W3014978777","https://openalex.org/W2001163940","https://openalex.org/W2565482338","https://openalex.org/W2351107574","https://openalex.org/W2151007044","https://openalex.org/W2542941274"],"abstract_inverted_index":{"In":[0,36],"this":[1,61],"note,":[2],"hidden":[3,17,28],"attractors":[4,18,29],"in":[5,19,30,60],"chaotic":[6,20,41],"maps":[7,31],"are":[8,12],"investigated.":[9],"Although":[10],"there":[11],"many":[13],"new":[14,39],"researches":[15],"on":[16,27,33],"flows,":[21],"no":[22],"investigation":[23],"has":[24],"been":[25],"done":[26],"based":[32],"our":[34],"knowledge.":[35],"addition,":[37],"a":[38,44],"interesting":[40],"map":[42],"with":[43,55],"bifurcation":[45],"diagram":[46],"starting":[47],"from":[48],"any":[49],"desired":[50],"period":[51,56],"and":[52],"then":[53],"continuing":[54],"doubling":[57],"is":[58],"introduced":[59],"paper.":[62]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":6}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
