{"id":"https://openalex.org/W3123532684","doi":"https://doi.org/10.1155/2021/6692369","title":"Dynamics and Robust Control of a New Realizable Chaotic Nonlinear Model","display_name":"Dynamics and Robust Control of a New Realizable Chaotic Nonlinear Model","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3123532684","doi":"https://doi.org/10.1155/2021/6692369","mag":"3123532684"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6692369","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6692369","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6692369.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/6692369.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045163734","display_name":"M. Higazy","orcid":"https://orcid.org/0000-0003-2575-5103"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"M. Higazy","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-2575-5103","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt","institution_ids":["https://openalex.org/I63601056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028686230","display_name":"Emad E. Mahmoud","orcid":"https://orcid.org/0000-0003-2757-2765"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I97455420","display_name":"Sohag University","ror":"https://ror.org/02wgx3e98","country_code":"EG","type":"education","lineage":["https://openalex.org/I97455420"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Emad E. Mahmoud","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-2757-2765","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt","institution_ids":["https://openalex.org/I97455420"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086276279","display_name":"E. M. Khalil","orcid":"https://orcid.org/0000-0003-0189-845X"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"E. M. Khalil","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075183774","display_name":"S. Abdel\u2010Khalek","orcid":"https://orcid.org/0000-0003-1822-2456"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I97455420","display_name":"Sohag University","ror":"https://ror.org/02wgx3e98","country_code":"EG","type":"education","lineage":["https://openalex.org/I97455420"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"S. Abdel-Khalek","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt","institution_ids":["https://openalex.org/I97455420"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080797734","display_name":"S. M. Abo\u2010Dahab","orcid":"https://orcid.org/0000-0002-7088-9912"},"institutions":[{"id":"https://openalex.org/I189575948","display_name":"South Valley University","ror":"https://ror.org/00jxshx33","country_code":"EG","type":"education","lineage":["https://openalex.org/I189575948"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"S. M. Abo-Dahab","raw_affiliation_strings":["Department of Computer Science, Faculty of Computers and Information, Luxor University, Luxor, Egypt","Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Computers and Information, Luxor University, Luxor, Egypt","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt","institution_ids":["https://openalex.org/I189575948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063332173","display_name":"Hammad Alotaibi","orcid":"https://orcid.org/0000-0001-5908-4913"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hammad Alotaibi","raw_affiliation_strings":["Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5028686230"],"corresponding_institution_ids":["https://openalex.org/I179331831","https://openalex.org/I97455420"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.6561,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66799252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"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/T10320","display_name":"Neural Networks and Applications","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9641000032424927,"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/chaotic","display_name":"Chaotic","score":0.7632623910903931},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7373074293136597},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6975431442260742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6587749719619751},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5807343125343323},{"id":"https://openalex.org/keywords/signal-flow-graph","display_name":"Signal-flow graph","score":0.5436564683914185},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5299828052520752},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4694359302520752},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4611063599586487},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.45518678426742554},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2892495393753052},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2744237184524536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22263050079345703},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19722723960876465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.098427414894104},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.059655725955963135}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7632623910903931},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7373074293136597},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6975431442260742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6587749719619751},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5807343125343323},{"id":"https://openalex.org/C166501922","wikidata":"https://www.wikidata.org/wiki/Q1786523","display_name":"Signal-flow graph","level":2,"score":0.5436564683914185},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5299828052520752},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4694359302520752},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4611063599586487},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.45518678426742554},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2892495393753052},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2744237184524536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22263050079345703},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19722723960876465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.098427414894104},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.059655725955963135},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/6692369","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6692369","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6692369.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6692369","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/6692369.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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:doaj.org/article:02dc1e72ec454a40a1f29438f41b93fe","is_oa":true,"landing_page_url":"https://doaj.org/article/02dc1e72ec454a40a1f29438f41b93fe","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6692369","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6692369","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6692369.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5427258609","display_name":null,"funder_award_id":"1-1441-105","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"}],"funders":[{"id":"https://openalex.org/F4320323722","display_name":"Taif University","ror":"https://ror.org/014g1a453"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3123532684.pdf","grobid_xml":"https://content.openalex.org/works/W3123532684.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1967008192","https://openalex.org/W2001759490","https://openalex.org/W2036870441","https://openalex.org/W2052501208","https://openalex.org/W2063394044","https://openalex.org/W2069436097","https://openalex.org/W2073775782","https://openalex.org/W2085203399","https://openalex.org/W2086691849","https://openalex.org/W2097571405","https://openalex.org/W2124781850","https://openalex.org/W2142587090","https://openalex.org/W2293007794","https://openalex.org/W2506221642","https://openalex.org/W2887083922","https://openalex.org/W2889144202","https://openalex.org/W2931554740","https://openalex.org/W2971639449","https://openalex.org/W3008292257","https://openalex.org/W3035598490","https://openalex.org/W3036016559","https://openalex.org/W3037151836","https://openalex.org/W3038311581","https://openalex.org/W3082089300","https://openalex.org/W3084819653","https://openalex.org/W3094420682","https://openalex.org/W3142959234","https://openalex.org/W3149448910","https://openalex.org/W4231102510","https://openalex.org/W4243369158","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W2361515791","https://openalex.org/W2375956839","https://openalex.org/W2899627504","https://openalex.org/W1982767765","https://openalex.org/W2068371111","https://openalex.org/W2353662484","https://openalex.org/W1580199161","https://openalex.org/W2379159072","https://openalex.org/W2016747025","https://openalex.org/W1967357715"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,47,90,102],"new":[3,19,25,49],"viable":[4],"nonlinear":[5,12],"chaotic":[6,31],"paradigm.":[7],"This":[8],"paradigm":[9,20],"has":[10],"four":[11],"terms.":[13],"The":[14,38,54],"essential":[15],"features":[16,69],"of":[17,40,66,101],"the":[18,41,74,86,94,99],"have":[21,30],"been":[22],"investigated.":[23],"Our":[24],"system":[26,42,75,95],"is":[27,57,76,96],"confirmed":[28],"to":[29],"behaviors":[32],"by":[33,46],"calculating":[34],"its":[35,67,80],"Lyapunov":[36],"exponents.":[37],"relations":[39],"states":[43],"are":[44,70],"displayed":[45],"suggested":[48],"signal":[50],"flow":[51],"graph":[52,61],"(SFG).":[53],"proposed":[55],"SFG":[56],"discussed":[58],"via":[59,78],"some":[60,65],"theory":[62],"tools,":[63],"and":[64],"hidden":[68],"calculated.":[71],"In":[72],"addition,":[73],"realized":[77],"constructing":[79],"electronic":[81],"circuit":[82],"which":[83],"helps":[84],"in":[85],"real":[87],"applications.":[88],"Also,":[89],"robust":[91],"controller":[92],"for":[93],"designed":[97],"with":[98],"aid":[100],"genetic":[103],"algorithm.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
