{"id":"https://openalex.org/W1997844989","doi":"https://doi.org/10.1142/s0218127410027660","title":"MULTISCROLL CHAOTIC ATTRACTORS FROM A HYSTERESIS BASED TIME-DELAY DIFFERENTIAL EQUATION","display_name":"MULTISCROLL CHAOTIC ATTRACTORS FROM A HYSTERESIS BASED TIME-DELAY DIFFERENTIAL EQUATION","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W1997844989","doi":"https://doi.org/10.1142/s0218127410027660","mag":"1997844989"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410027660","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027660","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/A5030635503","display_name":"Sel\u00e7uk K\u0131l\u0131n\u00e7","orcid":"https://orcid.org/0000-0001-7866-709X"},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"SEL\u00c7UK KILIN\u00c7","raw_affiliation_strings":["Dokuz Eylul University, Department of Electrical and Electronics Engineering, Izmir, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dokuz Eylul University, Department of Electrical and Electronics Engineering, Izmir, Turkey","institution_ids":["https://openalex.org/I193615760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074182981","display_name":"M\u00fc\u015ftak E. Yal\u00e7\u0131n","orcid":"https://orcid.org/0000-0003-3377-2560"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"M\u00dc\u015eTAK E. YAL\u00c7IN","raw_affiliation_strings":["Faculty of Electrical and Electronic Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronic Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033072088","display_name":"Serdar \u00d6zo\u011fuz","orcid":"https://orcid.org/0000-0002-0915-1804"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"SERDAR \u00d6ZOGUZ","raw_affiliation_strings":["Faculty of Electrical and Electronic Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronic Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7066,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.70716113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"10","first_page":"3275","last_page":"3281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9940000176429749,"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/T10320","display_name":"Neural Networks and Applications","score":0.98580002784729,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.9072995781898499},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7539043426513672},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6242152452468872},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5912796258926392},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5819412469863892},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.5599234700202942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5550968050956726},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.45816877484321594},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4471026360988617},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.442277729511261},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4420359134674072},{"id":"https://openalex.org/keywords/chaotic-hysteresis","display_name":"Chaotic hysteresis","score":0.4260762631893158},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.4243917465209961},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35700055956840515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3351982533931732},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2883698344230652},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.239793062210083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1543695032596588},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08311086893081665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0487155020236969}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9072995781898499},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7539043426513672},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6242152452468872},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5912796258926392},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5819412469863892},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.5599234700202942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5550968050956726},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.45816877484321594},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4471026360988617},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.442277729511261},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4420359134674072},{"id":"https://openalex.org/C207219937","wikidata":"https://www.wikidata.org/wiki/Q5072841","display_name":"Chaotic hysteresis","level":5,"score":0.4260762631893158},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.4243917465209961},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35700055956840515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3351982533931732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2883698344230652},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.239793062210083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1543695032596588},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08311086893081665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0487155020236969},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127410027660","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027660","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"},{"id":"pmh:oai:polen.itu.edu.tr:11527/36304","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/36304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1490587873","https://openalex.org/W1928579401","https://openalex.org/W1969135691","https://openalex.org/W1970841109","https://openalex.org/W1976791164","https://openalex.org/W1977049669","https://openalex.org/W1997069971","https://openalex.org/W2038534140","https://openalex.org/W2056642468","https://openalex.org/W2102498108","https://openalex.org/W2109547066","https://openalex.org/W2122076389","https://openalex.org/W2132296474","https://openalex.org/W2137082065","https://openalex.org/W2149020831","https://openalex.org/W2152532612","https://openalex.org/W2156208223","https://openalex.org/W2158787087","https://openalex.org/W2159921300"],"related_works":["https://openalex.org/W2059902367","https://openalex.org/W2364713592","https://openalex.org/W2094388062","https://openalex.org/W2346598424","https://openalex.org/W3048874476","https://openalex.org/W2148448414","https://openalex.org/W4385657519","https://openalex.org/W2500921511","https://openalex.org/W2185643956","https://openalex.org/W1997844989"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,37,43,63],"generation":[4],"of":[5,42,62],"multiscroll":[6],"chaotic":[7,57,77],"attractors":[8,78],"derived":[9],"from":[10],"a":[11],"time-delay":[12],"differential":[13,26],"equation":[14,27],"is":[15,20,46],"presented.":[16],"The":[17,40,59],"proposed":[18,64],"system":[19,45,65],"represented":[21],"by":[22],"only":[23],"one":[24],"first-order":[25],"including":[28],"time-delayed":[29],"state":[30],"variable,":[31],"and":[32,66,75],"employs":[33],"hysteresis":[34],"function":[35],"as":[36],"nonlinear":[38,51],"characteristic.":[39],"generalization":[41],"introduced":[44],"based":[47],"on":[48],"adding":[49],"multihysteresis":[50],"characteristic":[52],"which":[53],"leads":[54],"to":[55,71],"n-scroll":[56],"attractors.":[58],"circuit":[60],"implementation":[61],"some":[67],"experimental":[68],"results":[69],"referring":[70],"two-,":[72],"three-,":[73],"four-,":[74],"five-scroll":[76],"are":[79],"reported.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}