{"id":"https://openalex.org/W2045668509","doi":"https://doi.org/10.1142/s0218127403007333","title":"Transient Chaos in Coupled Oscillators with Shape Deformable Potential","display_name":"Transient Chaos in Coupled Oscillators with Shape Deformable Potential","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W2045668509","doi":"https://doi.org/10.1142/s0218127403007333","mag":"2045668509"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403007333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403007333","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/A5030023370","display_name":"Serge Bruno Yamgou\u00e9","orcid":"https://orcid.org/0000-0002-3079-4775"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Serge Bruno Yamgou\u00e9","raw_affiliation_strings":["Laboratoire de M\u00e9canique,  D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I,  B.P. 812 Yaound\u00e9, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique,  D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I,  B.P. 812 Yaound\u00e9, Cameroun","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052519972","display_name":"Timol\u00e9on Cr\u00e9pin Kofan\u00e9","orcid":"https://orcid.org/0009-0005-2745-3290"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Timol\u00e9on Cr\u00e9pin Kofan\u00e9","raw_affiliation_strings":["Laboratoire de M\u00e9canique,  D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I,  B.P. 812 Yaound\u00e9, Cameroun"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique,  D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I,  B.P. 812 Yaound\u00e9, Cameroun","institution_ids":["https://openalex.org/I1331070479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1331070479"],"apc_list":null,"apc_paid":null,"fwci":0.2561,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5790878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"06","first_page":"1459","last_page":"1474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9990000128746033,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9990000128746033,"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/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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9955999851226807,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8130166530609131},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5329951047897339},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.512847900390625},{"id":"https://openalex.org/keywords/slow-manifold","display_name":"Slow manifold","score":0.5089657306671143},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.505624532699585},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.47557201981544495},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.47036999464035034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4698053002357483},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43823784589767456},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.4363091289997101},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.43504369258880615},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4336022436618805},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.42169252038002014},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3486206829547882},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20499667525291443},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13209018111228943},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.11806356906890869}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8130166530609131},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5329951047897339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.512847900390625},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.5089657306671143},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.505624532699585},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.47557201981544495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47036999464035034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4698053002357483},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43823784589767456},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.4363091289997101},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.43504369258880615},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4336022436618805},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.42169252038002014},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3486206829547882},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20499667525291443},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13209018111228943},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.11806356906890869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127403007333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403007333","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":41,"referenced_works":["https://openalex.org/W178576803","https://openalex.org/W1963794568","https://openalex.org/W1964115083","https://openalex.org/W1965025777","https://openalex.org/W1967049588","https://openalex.org/W1967517875","https://openalex.org/W1967804379","https://openalex.org/W1969803780","https://openalex.org/W1974153024","https://openalex.org/W1980645311","https://openalex.org/W1985309587","https://openalex.org/W1990220778","https://openalex.org/W1991059405","https://openalex.org/W1997381324","https://openalex.org/W1997528363","https://openalex.org/W2009345106","https://openalex.org/W2011449965","https://openalex.org/W2018311458","https://openalex.org/W2025786696","https://openalex.org/W2030372436","https://openalex.org/W2040082606","https://openalex.org/W2043161105","https://openalex.org/W2049031441","https://openalex.org/W2051767917","https://openalex.org/W2062769342","https://openalex.org/W2062788619","https://openalex.org/W2065540686","https://openalex.org/W2073789782","https://openalex.org/W2076773443","https://openalex.org/W2077417761","https://openalex.org/W2079704452","https://openalex.org/W2083308101","https://openalex.org/W2089876099","https://openalex.org/W2093987931","https://openalex.org/W2094946578","https://openalex.org/W2160539906","https://openalex.org/W2526913831","https://openalex.org/W4231202709","https://openalex.org/W4231409469","https://openalex.org/W4255600711","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W2506303015","https://openalex.org/W2397038510","https://openalex.org/W2060720651","https://openalex.org/W2007874252","https://openalex.org/W4236459141","https://openalex.org/W2370995593","https://openalex.org/W1906329374","https://openalex.org/W2055410928","https://openalex.org/W2469655442","https://openalex.org/W2364157098"],"abstract_inverted_index":{"The":[0,46,209,250],"dynamics":[1],"of":[2,7,28,50,95,116,126,138,160,165,179,215,252],"a":[3,8,12,26,237,243,247],"perturbed":[4,97],"system":[5,78,98,174,227,258],"consisting":[6],"particle":[9],"embedded":[10],"in":[11,30,88,99,119,143,172],"strongly":[13],"nonlinear":[14],"potential":[15],"V(\u03d5;":[16],"r,":[17],"\u03b7)":[18],"whose":[19,82],"shape":[20,181],"can":[21],"be":[22],"varied":[23],"continuously":[24],"as":[25,175,193],"function":[27],"r":[29,35,183,194],"the":[31,51,60,64,75,96,100,107,114,120,127,133,136,144,161,166,173,176,180,187,226,257,264],"range":[32],"-1":[33],"<":[34,36],"1,":[37],"and":[38,53,84,140,221],"coupled":[39],"to":[40,112,123,199,201,204],"an":[41],"harmonic":[42],"oscillator":[43,66],"is":[44,110,153,241],"analyzed.":[45],"perturbations":[47],"are":[48,58],"made":[49],"coupling":[52],"damping":[54],"forces.":[55],"When":[56],"they":[57],"removed,":[59],"subsystem":[61],"formed":[62],"by":[63,71,147],"anharmonic":[65],"contains":[67],"saddle":[68],"points":[69,81],"connected":[70],"homoclinic":[72],"loops.":[73],"Thus,":[74],"whole":[76],"unperturbed":[77],"has":[79],"saddle-centre":[80,104],"stable":[83],"unstable":[85],"manifolds":[86],"coincide":[87],"three-dimensional":[89],"manifold.":[90],"We":[91],"concentrate":[92],"our":[93],"analysis":[94],"regions":[101,137],"near":[102],"these":[103],"points.":[105],"First,":[106],"Melnikov":[108,128],"theory":[109],"used":[111],"investigate":[113],"presence":[115],"horseshoes":[117],"chaos":[118],"dynamics.":[121],"Due":[122],"some":[124],"discrepancies":[125],"theory,":[129],"we":[130],"next":[131],"rederive":[132],"boundary":[134],"between":[135],"regular":[139,149],"irregular":[141],"motions":[142],"parameters":[145,259],"space":[146],"using":[148],"perturbation":[150],"expansion.":[151],"It":[152],"found":[154],"here":[155],"that":[156,225],"for":[157,206],"small":[158],"values":[159,197,202],"natural":[162],"pulsation":[163],"\u03c9":[164],"linear":[167],"oscillator,":[168],"complicated":[169],"behavior":[170,255],"intensifies":[171,191],"absolute":[177],"value":[178],"parameter":[182],"approaches":[184],"zero.":[185],"On":[186],"contrary,":[188],"chaotic":[189],"motion":[190],"according":[192],"decreases":[195],"from":[196],"close":[198,203],"1":[200],"-1,":[205],"large":[207],"\u03c9.":[208],"numerical":[210],"analysis,":[211],"which":[212,240],"includes":[213],"computation":[214],"maximal":[216],"Lyapunov":[217],"exponent,":[218],"bifurcation":[219],"diagrams":[220],"Poincar\u00e9":[222],"sections,":[223],"shows":[224],"exhibits":[228],"transient":[229,254],"stochastic":[230],"behavior,":[231],"but":[232],"ultimately":[233],"settles":[234],"down":[235],"on":[236,256],"simple":[238],"set":[239],"either":[242],"fixed":[244],"point":[245],"or":[246],"limit":[248],"cycle.":[249],"dependence":[251],"this":[253],"agrees":[260],"qualitatively":[261],"well":[262],"with":[263],"analytical":[265],"predictions.":[266]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}