{"id":"https://openalex.org/W1948108816","doi":"https://doi.org/10.3233/asy-2010-0991","title":"Asymptotical distribution of eigenvalues of dynamics generator governing vibrations of double-walled carbon nanotube model","display_name":"Asymptotical distribution of eigenvalues of dynamics generator governing vibrations of double-walled carbon nanotube model","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W1948108816","doi":"https://doi.org/10.3233/asy-2010-0991","mag":"1948108816"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2010-0991","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-0991","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5049440071","display_name":"Marianna A. Shubov","orcid":"https://orcid.org/0000-0001-9547-8821"},"institutions":[{"id":"https://openalex.org/I161057412","display_name":"University of New Hampshire","ror":"https://ror.org/01rmh9n78","country_code":"US","type":"education","lineage":["https://openalex.org/I161057412"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marianna A. Shubov","raw_affiliation_strings":["Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA. E-mails: marianna.shubov@euclid.unh.edu, marenaza@cisunix.unh.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA. E-mails: marianna.shubov@euclid.unh.edu, marenaza@cisunix.unh.edu","institution_ids":["https://openalex.org/I161057412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075680030","display_name":"Miriam Rojas\u2010Arenaza","orcid":null},"institutions":[{"id":"https://openalex.org/I161057412","display_name":"University of New Hampshire","ror":"https://ror.org/01rmh9n78","country_code":"US","type":"education","lineage":["https://openalex.org/I161057412"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miriam Rojas-Arenaza","raw_affiliation_strings":["Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA. E-mails: marianna.shubov@euclid.unh.edu, marenaza@cisunix.unh.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA. E-mails: marianna.shubov@euclid.unh.edu, marenaza@cisunix.unh.edu","institution_ids":["https://openalex.org/I161057412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161057412"],"apc_list":null,"apc_paid":null,"fwci":2.5753,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87110915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"68","issue":"1-2","first_page":"89","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9898999929428101,"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":0.9898999929428101,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9695000052452087,"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/T13129","display_name":"Material Properties and Applications","score":0.9431999921798706,"subfield":{"id":"https://openalex.org/subfields/2500","display_name":"General Materials Science"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7503723502159119},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6985875368118286},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.6802657842636108},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.633445680141449},{"id":"https://openalex.org/keywords/carbon-nanotube","display_name":"Carbon nanotube","score":0.579779863357544},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.537227988243103},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4469708502292633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.405637264251709},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3603529632091522},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3180311918258667},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.30554836988449097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2982975244522095},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.17650049924850464},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.14761322736740112},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10924431681632996}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7503723502159119},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6985875368118286},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.6802657842636108},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.633445680141449},{"id":"https://openalex.org/C513720949","wikidata":"https://www.wikidata.org/wiki/Q1778729","display_name":"Carbon nanotube","level":2,"score":0.579779863357544},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.537227988243103},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4469708502292633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.405637264251709},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3603529632091522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3180311918258667},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.30554836988449097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2982975244522095},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.17650049924850464},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.14761322736740112},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10924431681632996},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2010-0991","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-0991","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2616971963","https://openalex.org/W2331308819","https://openalex.org/W1975885491","https://openalex.org/W748857594","https://openalex.org/W2144987503","https://openalex.org/W2312399875","https://openalex.org/W2609567797","https://openalex.org/W2104644563","https://openalex.org/W2320558066","https://openalex.org/W2326195658"],"abstract_inverted_index":{"The":[0,18,43,55,71],"paper":[1],"is":[2,20,45,74,85],"devoted":[3],"to":[4,63,117],"rigorous":[5],"spectral":[6,96,108],"analysis":[7],"of":[8,13,25,32,51,113,128],"recently":[9],"developed":[10],"mathematical":[11],"model":[12,19],"a":[14,23,48,75,123],"double-walled":[15],"carbon":[16],"nanotube.":[17],"governed":[21],"by":[22],"system":[24,44],"four":[26,95],"partial":[27],"differential":[28,78],"equations":[29],"describing":[30],"vibrations":[31],"two":[33],"Timoshenko":[34],"beams":[35],"coupled":[36],"through":[37],"distributed":[38],"van":[39],"der":[40],"Waals":[41],"forces.":[42],"equipped":[46],"with":[47,80],"four-parameter":[49],"family":[50],"nonconservative":[52],"boundary":[53],"conditions.":[54],"corresponding":[56],"initial":[57],"boundary-value":[58],"problem":[59],"has":[60,100,135],"been":[61,101,136],"reduced":[62],"an":[64,114],"evolution":[65],"equation":[66],"in":[67],"the":[68,88,104,111,121,129],"state":[69],"space.":[70],"dynamics":[72],"generator":[73],"nonselfadjoint":[76],"matrix":[77],"operator":[79],"purely":[81],"discrete":[82],"spectrum.":[83],"It":[84],"shown":[86],"that":[87],"entire":[89],"spectrum":[90],"asymptotically":[91],"splits":[92],"up":[93],"into":[94],"branches.":[97],"Asymptotical":[98],"representation":[99],"derived":[102],"for":[103],"eigenvalues":[105],"along":[106],"each":[107],"branch":[109],"as":[110],"number":[112],"eigenvalue":[115],"tends":[116],"infinity.":[118],"To":[119],"prove":[120],"results,":[122],"two-step":[124],"procedure":[125],"involving":[126],"construction":[127],"left":[130],"and":[131],"right":[132],"reflection":[133],"matrices":[134],"used.":[137]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}