{"id":"https://openalex.org/W1989516118","doi":"https://doi.org/10.1142/s0218127408021774","title":"STABILITY OF THE CONTROLLED SYNCHRONIZATION MANIFOLD IN A RING OF MUTUALLY COUPLED CHAOTIC SYSTEMS","display_name":"STABILITY OF THE CONTROLLED SYNCHRONIZATION MANIFOLD IN A RING OF MUTUALLY COUPLED CHAOTIC SYSTEMS","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W1989516118","doi":"https://doi.org/10.1142/s0218127408021774","mag":"1989516118"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127408021774","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408021774","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":true,"raw_author_name":"R. YAMAPI","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Douala, PO Box 24157 Douala, Cameroon"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Douala, PO Box 24157 Douala, Cameroon","institution_ids":["https://openalex.org/I163423212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036156842","display_name":"M. A. Aziz-Alaoui","orcid":"https://orcid.org/0000-0001-5198-4597"},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. A. AZIZ-ALAOUI","raw_affiliation_strings":["Applied Mathematics Laboratory, University of Le Havre, 25 rue ph. Lebon, B.P. 540, Le Havre, Cedex, France"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics Laboratory, University of Le Havre, 25 rue ph. Lebon, B.P. 540, Le Havre, Cedex, France","institution_ids":["https://openalex.org/I141576021"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078151029"],"corresponding_institution_ids":["https://openalex.org/I163423212"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08432361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"08","first_page":"2397","last_page":"2414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9970999956130981,"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/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.7493359446525574},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6624792218208313},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.6469221711158752},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6124090552330017},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6062334775924683},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4789998233318329},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4693516194820404},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.441750168800354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4407275915145874},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.42452800273895264},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4230329394340515},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3391202688217163},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32650670409202576},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2077673375606537},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17945346236228943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17393487691879272},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14561426639556885},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07464838027954102}],"concepts":[{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.7493359446525574},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6624792218208313},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.6469221711158752},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6124090552330017},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6062334775924683},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4789998233318329},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4693516194820404},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.441750168800354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4407275915145874},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.42452800273895264},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4230329394340515},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3391202688217163},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32650670409202576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2077673375606537},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17945346236228943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17393487691879272},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14561426639556885},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07464838027954102},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127408021774","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408021774","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:CiteSeerX.psu:10.1.1.714.5124","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.714.5124","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lmah.univ-lehavre.fr/%7Ealaoui/yamapi-Aziz_IJBC18-aug2008.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1966328775","https://openalex.org/W1970781510","https://openalex.org/W1977884979","https://openalex.org/W1984670507","https://openalex.org/W1985219492","https://openalex.org/W1986335447","https://openalex.org/W1987515491","https://openalex.org/W1989505173","https://openalex.org/W2008187568","https://openalex.org/W2024575511","https://openalex.org/W2027944514","https://openalex.org/W2028363030","https://openalex.org/W2030445607","https://openalex.org/W2041838231","https://openalex.org/W2070504300","https://openalex.org/W2070722739","https://openalex.org/W2083787309","https://openalex.org/W2088437499","https://openalex.org/W2090432991","https://openalex.org/W2090899136","https://openalex.org/W2091675094","https://openalex.org/W2093840145","https://openalex.org/W2094639249","https://openalex.org/W2106380952","https://openalex.org/W2325250700"],"related_works":["https://openalex.org/W2136889839","https://openalex.org/W2411553537","https://openalex.org/W2378640948","https://openalex.org/W3217574331","https://openalex.org/W2116440947","https://openalex.org/W2032227660","https://openalex.org/W1980855435","https://openalex.org/W2529467364","https://openalex.org/W2139555684","https://openalex.org/W2020506589"],"abstract_inverted_index":{"The":[0,60,98],"active":[1,61],"control":[2,62,82,90,96],"of":[3,12,36,81,94,100,103,111],"the":[4,22,29,34,47,50,56,67,79,92,95,101,104,108,112],"unstable":[5,43,74,114],"synchronization":[6,44,75,115],"manifold":[7],"in":[8,28,46],"a":[9,88],"shift-invariant":[10],"ring":[11],"N":[13],"mutually":[14,68],"coupled":[15,69],"chaotic":[16,26,70],"oscillators":[17],"is":[18,64],"investigated.":[19],"After":[20],"deriving":[21],"bifurcation":[23],"structures":[24],"and":[25,42,91],"states":[27],"single":[30],"oscillator,":[31],"we":[32],"find":[33],"regime":[35],"coupling":[37],"parameters":[38,84],"leading":[39],"to":[40,72,87],"stable":[41],"phenomena":[45],"ring,":[48],"using":[49],"Master":[51],"stability":[52,93,109],"function":[53],"approach":[54],"with":[55],"transverse":[57],"Lyapunov":[58],"exponents.":[59],"technique":[63],"applied":[65],"on":[66,107],"systems":[71],"suppress":[73],"states.":[76],"We":[77],"derive":[78],"range":[80],"gain":[83],"which":[85],"leads":[86],"successful":[89],"design.":[97],"effects":[99],"amplitude":[102],"parametric":[105],"perturbations":[106],"boundaries":[110],"controlled":[113],"process":[116],"are":[117],"also":[118],"studied.":[119]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
