{"id":"https://openalex.org/W2064203764","doi":"https://doi.org/10.1142/s0218127404010011","title":"PERIODIC SOLUTIONS FOR A FOURTH-ORDER EQUATION AND APPLICATIONS IN A MODEL OF STRUCTURAL MECHANICS","display_name":"PERIODIC SOLUTIONS FOR A FOURTH-ORDER EQUATION AND APPLICATIONS IN A MODEL OF STRUCTURAL MECHANICS","publication_year":2004,"publication_date":"2004-04-01","ids":{"openalex":"https://openalex.org/W2064203764","doi":"https://doi.org/10.1142/s0218127404010011","mag":"2064203764"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404010011","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010011","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/A5042039979","display_name":"Xiaoli Hu","orcid":null},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIAOLI HU","raw_affiliation_strings":["Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]}]},{"author_position":"last","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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIBIN LI","raw_affiliation_strings":["Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I10660446"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16839853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"04","first_page":"1477","last_page":"1488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9958000183105469,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8438136577606201},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6865980625152588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.63899827003479},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.5972608327865601},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5536308884620667},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.45640337467193604},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44095584750175476},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42181462049484253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32427698373794556},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2191716432571411},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.14299428462982178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12221726775169373},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10528379678726196}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8438136577606201},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6865980625152588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63899827003479},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.5972608327865601},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5536308884620667},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.45640337467193604},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44095584750175476},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42181462049484253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32427698373794556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2191716432571411},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.14299428462982178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12221726775169373},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10528379678726196},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404010011","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010011","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W5072554","https://openalex.org/W1970930935","https://openalex.org/W1998112328","https://openalex.org/W2020578342","https://openalex.org/W2041050579","https://openalex.org/W2043485015","https://openalex.org/W2046904024","https://openalex.org/W2055467032","https://openalex.org/W2077471996","https://openalex.org/W2080906097","https://openalex.org/W2088423883","https://openalex.org/W2093624109","https://openalex.org/W2143797827","https://openalex.org/W4252339980"],"related_works":["https://openalex.org/W2158263287","https://openalex.org/W2013210442","https://openalex.org/W2051697746","https://openalex.org/W2147240237","https://openalex.org/W2167841308","https://openalex.org/W1984913125","https://openalex.org/W244601822","https://openalex.org/W2955054485","https://openalex.org/W2001144565","https://openalex.org/W2227979629"],"abstract_inverted_index":{"By":[0],"developing":[1],"topological":[2],"shooting":[3],"methods,":[4],"the":[5,37,47,67,70],"existence":[6,48],"of":[7,17,36,40,49,66,69],"single-humped":[8,50],"periodic":[9,51,71],"solutions":[10,52,72],"and":[11,59],"homoclinic":[12],"orbit":[13],"for":[14],"a":[15,34],"class":[16],"fourth-order":[18],"ordinary":[19],"differential":[20],"equations":[21],"is":[22,62,73],"obtained,":[23],"under":[24],"some":[25],"general":[26],"conditions.":[27],"Using":[28],"these":[29],"strict":[30],"mathematical":[31],"conclusions":[32],"to":[33],"model":[35],"deflection":[38],"patterns":[39],"elastic":[41,45],"struts":[42],"resting":[43],"on":[44],"foundations,":[46],"which":[53],"have":[54],"been":[55],"found":[56],"by":[57],"asymptotical":[58],"numerical":[60],"methods":[61],"determined.":[63],"An":[64],"estimation":[65],"half-period":[68],"also":[74],"given.":[75]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}