{"id":"https://openalex.org/W1983779821","doi":"https://doi.org/10.1142/s0218127407018075","title":"DYNAMICAL STATES IN A RING OF FOUR MUTUALLY COUPLED SELF-SUSTAINED ELECTRICAL SYSTEMS WITH TIME PERIODIC COUPLING","display_name":"DYNAMICAL STATES IN A RING OF FOUR MUTUALLY COUPLED SELF-SUSTAINED ELECTRICAL SYSTEMS WITH TIME PERIODIC COUPLING","publication_year":2007,"publication_date":"2007-05-01","ids":{"openalex":"https://openalex.org/W1983779821","doi":"https://doi.org/10.1142/s0218127407018075","mag":"1983779821"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127407018075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018075","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/A5078151029","display_name":"R. Yamapi","orcid":"https://orcid.org/0000-0001-8156-4534"},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"R. YAMAPI","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon","Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157 Douala (Cameroon)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]},{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157 Douala (Cameroon)","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109995776","display_name":"Samuel Bowong","orcid":null},"institutions":[{"id":"https://openalex.org/I163423212","display_name":"University of Douala","ror":"https://ror.org/02zr5jr81","country_code":"CM","type":"education","lineage":["https://openalex.org/I163423212"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"S. BOWONG","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I163423212"],"apc_list":null,"apc_paid":null,"fwci":0.3369,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64600525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"17","issue":"05","first_page":"1775","last_page":"1783"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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/T10244","display_name":"Chaos control and synchronization","score":0.9957000017166138,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9951000213623047,"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/floquet-theory","display_name":"Floquet theory","score":0.8909358978271484},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.7081828117370605},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6068140864372253},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.581184446811676},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5730375647544861},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5597801208496094},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5355935096740723},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5051513314247131},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49628907442092896},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.48624387383461},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4720112979412079},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.442812979221344},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.4247337579727173},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3704644739627838},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36798641085624695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3475353717803955},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3291884660720825},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.24606013298034668},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24382564425468445},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22617730498313904},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.11125385761260986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10213559865951538},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0889710783958435}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.8909358978271484},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.7081828117370605},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6068140864372253},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.581184446811676},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5730375647544861},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5597801208496094},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5355935096740723},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5051513314247131},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49628907442092896},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.48624387383461},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4720112979412079},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.442812979221344},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.4247337579727173},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3704644739627838},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36798641085624695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3475353717803955},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3291884660720825},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.24606013298034668},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24382564425468445},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22617730498313904},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.11125385761260986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10213559865951538},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0889710783958435},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/s0218127407018075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018075","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W123208055","https://openalex.org/W1977884979","https://openalex.org/W1985508528","https://openalex.org/W1994083843","https://openalex.org/W1997453391","https://openalex.org/W1998167832","https://openalex.org/W2000400846","https://openalex.org/W2008187568","https://openalex.org/W2009545301","https://openalex.org/W2027944514","https://openalex.org/W2034610099","https://openalex.org/W2035130255","https://openalex.org/W2051767917","https://openalex.org/W2058484251","https://openalex.org/W2070504300","https://openalex.org/W2084629908","https://openalex.org/W2084833892","https://openalex.org/W2088437499","https://openalex.org/W2091675094","https://openalex.org/W2092482150","https://openalex.org/W2122467996","https://openalex.org/W2526913831","https://openalex.org/W3141786155","https://openalex.org/W4231409469"],"related_works":["https://openalex.org/W2032909352","https://openalex.org/W123501088","https://openalex.org/W2013560803","https://openalex.org/W3125812129","https://openalex.org/W1982221006","https://openalex.org/W1522710368","https://openalex.org/W2605525299","https://openalex.org/W2626519038","https://openalex.org/W3103809940","https://openalex.org/W2520852530"],"abstract_inverted_index":{"We":[0],"investigate":[1],"in":[2,8],"this":[3],"Letter":[4],"different":[5],"dynamical":[6],"states":[7,33],"the":[9,35,42,46,52,55,60,64,76],"ring":[10],"of":[11,51,54,59],"four":[12],"mutually":[13],"coupled":[14],"self-sustained":[15],"electrical":[16],"systems":[17],"with":[18],"time":[19],"periodic":[20,56],"coupling.":[21],"The":[22,49],"transition":[23],"boundaries":[24,66],"that":[25],"can":[26],"occur":[27],"between":[28],"instability":[29],"and":[30,45],"complete":[31],"synchronization":[32],"when":[34],"coupling":[36,61],"strength":[37],"varies":[38],"are":[39,67,71],"derived":[40],"using":[41],"Floquet":[43],"theory":[44],"Whittaker":[47],"method.":[48],"effects":[50],"amplitude":[53],"parametric":[57],"perturbations":[58],"parameter":[62],"on":[63],"stability":[65],"analyzed.":[68],"Numerical":[69],"simulations":[70],"then":[72],"performed":[73],"to":[74],"complement":[75],"analytical":[77],"results.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}