{"id":"https://openalex.org/W2076814823","doi":"https://doi.org/10.1142/s0218127409023378","title":"CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS","display_name":"CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2076814823","doi":"https://doi.org/10.1142/s0218127409023378","mag":"2076814823"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023378","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023378","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/A5100599691","display_name":"Jibin Li","orcid":"https://orcid.org/0000-0003-4839-5956"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIBIN LI","raw_affiliation_strings":["Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084356403","display_name":"Yibin Fu","orcid":"https://orcid.org/0000-0002-9617-0420"},"institutions":[{"id":"https://openalex.org/I56007636","display_name":"Keele University","ror":"https://ror.org/00340yn33","country_code":"GB","type":"education","lineage":["https://openalex.org/I56007636"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"YIBIN FU","raw_affiliation_strings":["Department of Mathematics, Keele University, Staffordshire, ST5 5BG, UK","Department of Mathematics, Keele University, Staffordshire ST5 5BG, UK;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Keele University, Staffordshire, ST5 5BG, UK","institution_ids":["https://openalex.org/I56007636"]},{"raw_affiliation_string":"Department of Mathematics, Keele University, Staffordshire ST5 5BG, UK;","institution_ids":["https://openalex.org/I56007636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102789133","display_name":"Fengjuan Chen","orcid":"https://orcid.org/0000-0002-2039-5762"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FENGJUAN CHEN","raw_affiliation_strings":["Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14424955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"03","first_page":"903","last_page":"921"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7329459190368652},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6359142661094666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5911033153533936},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5759201645851135},{"id":"https://openalex.org/keywords/triad","display_name":"Triad (sociology)","score":0.5337995290756226},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5295810699462891},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5007538795471191},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.49881744384765625},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.47298941016197205},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.46754732728004456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4150035083293915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33590012788772583},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13550087809562683}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7329459190368652},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6359142661094666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5911033153533936},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5759201645851135},{"id":"https://openalex.org/C176038584","wikidata":"https://www.wikidata.org/wiki/Q626432","display_name":"Triad (sociology)","level":2,"score":0.5337995290756226},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5295810699462891},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5007538795471191},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.49881744384765625},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.47298941016197205},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.46754732728004456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4150035083293915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33590012788772583},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13550087809562683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023378","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023378","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":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323193","display_name":"Natural Science Foundation of Yunnan Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W126935648","https://openalex.org/W1543750167","https://openalex.org/W1976741558","https://openalex.org/W1978533633","https://openalex.org/W1980019518","https://openalex.org/W1991729125","https://openalex.org/W1996003856","https://openalex.org/W2012695701","https://openalex.org/W2036494422","https://openalex.org/W2037688635","https://openalex.org/W2038143838","https://openalex.org/W2045691962","https://openalex.org/W2045892431","https://openalex.org/W2051147298","https://openalex.org/W2071165525","https://openalex.org/W2076386557","https://openalex.org/W2080887215","https://openalex.org/W2089876099","https://openalex.org/W2124529968","https://openalex.org/W2147184613","https://openalex.org/W2154115252","https://openalex.org/W2309987763","https://openalex.org/W2323070876","https://openalex.org/W4230838798","https://openalex.org/W4289981527"],"related_works":["https://openalex.org/W2705349940","https://openalex.org/W2059929503","https://openalex.org/W2026663098","https://openalex.org/W2109481927","https://openalex.org/W3146311062","https://openalex.org/W2068449943","https://openalex.org/W4249433086","https://openalex.org/W2144601380","https://openalex.org/W2039083055","https://openalex.org/W2490770651"],"abstract_inverted_index":{"It":[0,150],"has":[1],"previously":[2],"been":[3],"established":[4],"that":[5,25,133,153],"in":[6],"a":[7,12,87,94],"prestressed":[8],"incompressible":[9],"elastic":[10],"plate,":[11],"near-critical":[13],"instability":[14],"mode":[15],"can":[16,157],"interact":[17],"resonantly":[18],"with":[19],"two":[20],"non-critical":[21],"vibration":[22],"modes":[23,32],"and":[24,74,98,140],"the":[26,30,34,130,145,154],"evolution":[27],"equations":[28,123],"for":[29],"three":[31],"take":[33],"form":[35],"d":[36],"2":[37,41,53,60,65,69,84,109],"A":[38,45,54],"1":[39,46,49,51,55,58,71,82,103,106],"/d\u03c4":[40,66,77],"=":[42,67,78],"-c":[43],"0":[44,100],"-":[47,56],"c":[48,99,102],"|A":[50],"|":[52],"\u03b3":[57,68,79,105,108,111],"\u0100":[59,61,70,72,81,83],"3":[62,73,76,80,112],",":[63,85,101,104,107,110],"dA":[64,75],"where":[86],"bar":[88],"denotes":[89],"complex":[90],"conjugation,":[91],"\u03c4":[92],"is":[93,151],"slow":[95],"time":[96],"variable":[97],"are":[113,138,148],"real":[114],"constants.":[115],"In":[116],"this":[117],"paper,":[118],"we":[119],"analyze":[120],"these":[121],"amplitude":[122],"using":[124],"dynamical":[125],"systems":[126],"theory.":[127],"Regions":[128],"of":[129,144],"parametric":[131],"space":[132],"correspond":[134],"to":[135,159],"bounded":[136,146],"solutions":[137,147],"determined":[139],"some":[141],"explicit":[142],"representations":[143],"obtained.":[149],"shown":[152],"resonant-triad":[155],"interaction":[156],"lead":[158],"chaotic":[160],"motions.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
