{"id":"https://openalex.org/W4310689653","doi":"https://doi.org/10.1142/s021812742250211x","title":"Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification","display_name":"Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4310689653","doi":"https://doi.org/10.1142/s021812742250211x"},"language":"en","primary_location":{"id":"doi:10.1142/s021812742250211x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742250211x","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/A5031244868","display_name":"Hermann-Dior Mekak-Egong","orcid":"https://orcid.org/0000-0001-6320-5060"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Hermann-Dior Mekak-Egong","raw_affiliation_strings":["Unit\u00e9 de Recherche de Mati\u00e8re Condens\u00e9e, d\u2019Electronique et de Traitement du Signal (UR-MACETS), Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unit\u00e9 de Recherche de Mati\u00e8re Condens\u00e9e, d\u2019Electronique et de Traitement du Signal (UR-MACETS), Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009230459","display_name":"Balamurali Ramakrishnan","orcid":"https://orcid.org/0000-0001-8412-9466"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Balamurali Ramakrishnan","raw_affiliation_strings":["Center for Nonlinear Systems, Chennai Institute of Technology, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055209723","display_name":"Ad\u00e9la\u00efde Nicole Kengnou Telem","orcid":"https://orcid.org/0000-0001-5972-2444"},"institutions":[{"id":"https://openalex.org/I144693123","display_name":"University of Buea","ror":"https://ror.org/041kdhz15","country_code":"CM","type":"education","lineage":["https://openalex.org/I144693123"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Ad\u00e9la\u00efde Nicole Kengnou Telem","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon","institution_ids":["https://openalex.org/I144693123"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057487605","display_name":"Karthikeyan Rajagopal","orcid":"https://orcid.org/0000-0003-2993-7182"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karthikeyan Rajagopal","raw_affiliation_strings":["Center for Nonlinear Systems, Chennai Institute of Technology, India","Department of Electronics and Communications Engineering and University Center for Research and Development, Charligarh University, Mohali, 10413, Punjab, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, India","institution_ids":[]},{"raw_affiliation_string":"Department of Electronics and Communications Engineering and University Center for Research and Development, Charligarh University, Mohali, 10413, Punjab, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079654260","display_name":"Jacques Kengne","orcid":"https://orcid.org/0000-0002-1165-1808"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Jacques Kengne","raw_affiliation_strings":["Laboratoire d\u2019Automatique et Informatique Appliqu\u00e9e (LAIA), IUT-FV Bandjoun, University of Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Automatique et Informatique Appliqu\u00e9e (LAIA), IUT-FV Bandjoun, University of Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2203,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78880992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"32","issue":"14","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":0.9994999766349792,"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":0.9994000196456909,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9943000078201294,"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/jerk","display_name":"Jerk","score":0.8376781940460205},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8193792104721069},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.7876746654510498},{"id":"https://openalex.org/keywords/scroll","display_name":"Scroll","score":0.7255133986473083},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6503154635429382},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6300482749938965},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.5760021805763245},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5528817772865295},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5113956332206726},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.48351743817329407},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.45257797837257385},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.449759840965271},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4402514100074768},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41424545645713806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33965864777565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33388110995292664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24571779370307922},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20428436994552612},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.18261873722076416},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11782118678092957},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08948153257369995},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08707383275032043}],"concepts":[{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.8376781940460205},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8193792104721069},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.7876746654510498},{"id":"https://openalex.org/C2781324535","wikidata":"https://www.wikidata.org/wiki/Q720106","display_name":"Scroll","level":2,"score":0.7255133986473083},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6503154635429382},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6300482749938965},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.5760021805763245},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5528817772865295},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5113956332206726},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.48351743817329407},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.45257797837257385},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.449759840965271},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4402514100074768},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41424545645713806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33965864777565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33388110995292664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24571779370307922},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20428436994552612},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.18261873722076416},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11782118678092957},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08948153257369995},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08707383275032043},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812742250211x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812742250211x","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":56,"referenced_works":["https://openalex.org/W31915652","https://openalex.org/W163786043","https://openalex.org/W1207136572","https://openalex.org/W1249165066","https://openalex.org/W1632660198","https://openalex.org/W1892177549","https://openalex.org/W1969411123","https://openalex.org/W1976581203","https://openalex.org/W1977049669","https://openalex.org/W1978007255","https://openalex.org/W1998630995","https://openalex.org/W2009574011","https://openalex.org/W2015971323","https://openalex.org/W2022377127","https://openalex.org/W2026503049","https://openalex.org/W2041079585","https://openalex.org/W2053724379","https://openalex.org/W2053986141","https://openalex.org/W2057697429","https://openalex.org/W2065456646","https://openalex.org/W2078907149","https://openalex.org/W2086309653","https://openalex.org/W2091919037","https://openalex.org/W2095890179","https://openalex.org/W2099047812","https://openalex.org/W2127342269","https://openalex.org/W2152254020","https://openalex.org/W2161860644","https://openalex.org/W2171987742","https://openalex.org/W2490150532","https://openalex.org/W2554497796","https://openalex.org/W2603131191","https://openalex.org/W2613444522","https://openalex.org/W2625699899","https://openalex.org/W2782414258","https://openalex.org/W2806195705","https://openalex.org/W2891171036","https://openalex.org/W2903229170","https://openalex.org/W2905485843","https://openalex.org/W2919715533","https://openalex.org/W2970763903","https://openalex.org/W2972978930","https://openalex.org/W2978973282","https://openalex.org/W2987662708","https://openalex.org/W2998325782","https://openalex.org/W3007442310","https://openalex.org/W3033363556","https://openalex.org/W3089195263","https://openalex.org/W3162581750","https://openalex.org/W3168452028","https://openalex.org/W3171938391","https://openalex.org/W3172582262","https://openalex.org/W3176451149","https://openalex.org/W3198677770","https://openalex.org/W4300059230","https://openalex.org/W4300175630"],"related_works":["https://openalex.org/W2032872672","https://openalex.org/W4249053450","https://openalex.org/W2369194092","https://openalex.org/W2793259651","https://openalex.org/W2909953714","https://openalex.org/W2607286602","https://openalex.org/W3171819901","https://openalex.org/W3092143559","https://openalex.org/W4220757487","https://openalex.org/W4296042297"],"abstract_inverted_index":{"It":[0],"is":[1,145,168],"known":[2],"that":[3],"the":[4,13,21,40,75,78,116,141,148,165,173],"unidirectional":[5],"coupling":[6,51,58,98,127],"between":[7,53],"a":[8,49,64,71,83,96],"double-scroll":[9,91],"system":[10,18,118],"(drive)":[11],"in":[12,20,48,104,115,121],"oscillation":[14],"regime":[15],"with":[16,147],"another":[17],"(response)":[19],"steady-state,":[22],"gives":[23],"rise":[24],"to":[25,42,46,66,74,140],"more":[26,105],"complex":[27,106],"dynamics":[28,92,107],"such":[29,108],"as":[30,63,109],"multiscroll":[31,136],"attractors":[32],"[Dana":[33],"et":[34],"al.,":[35],"2008].":[36],"This":[37],"paper":[38],"shows":[39],"way":[41],"move":[43],"from":[44,82],"n-scroll":[45],"2n-scroll":[47],"bidirectional":[50,97],"scheme":[52,128],"two":[54,86],"jerk":[55],"oscillators.":[56],"The":[57,125,138],"considered":[59],"can":[60,89],"be":[61],"interpreted":[62],"perturbation":[65],"each":[67],"oscillator\u2019s":[68],"amplitude":[69,76],"through":[70],"signal":[72],"proportional":[73],"of":[77,85,99,150,154,160,164],"other.":[79],"Indeed,":[80],"starting":[81],"situation":[84],"oscillators":[87,101],"which":[88,102],"generate":[90],"individually,":[93],"we":[94],"perform":[95],"both":[100],"results":[103],"multistability":[110],"and":[111,158],"4-scroll":[112,142],"chaotic":[113,143],"attractor":[114,144],"coupled":[117],"(not":[119],"observed":[120],"an":[122,130],"isolated":[123],"oscillator).":[124],"underlined":[126],"provides":[129],"efficient":[131],"method":[132],"for":[133],"generating":[134],"higher-order":[135],"attractors.":[137],"route":[139],"explained":[146],"help":[149],"bifurcation":[151],"diagrams,":[152],"plots":[153],"several":[155],"phase":[156],"portraits,":[157],"basins":[159],"attractions.":[161],"Indirect":[162],"validation":[163],"theoretical":[166],"analysis":[167],"carried":[169],"out":[170],"by":[171],"using":[172],"PSpice":[174],"simulation":[175],"software.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}