{"id":"https://openalex.org/W2151482556","doi":"https://doi.org/10.1080/00207160701288865","title":"New upper bounds for excited vibration systems with applications of the differential calculus of norms","display_name":"New upper bounds for excited vibration systems with applications of the differential calculus of norms","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2151482556","doi":"https://doi.org/10.1080/00207160701288865","mag":"2151482556"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701288865","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701288865","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5108440428","display_name":"L. Kohaupt","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115418","display_name":"Forschungsinstitut Havelh\u00f6he","ror":"https://ror.org/02awj9960","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210115418"]},{"id":"https://openalex.org/I2803043650","display_name":"Rosa Luxemburg Foundation","ror":"https://ror.org/0089t7988","country_code":"DE","type":"other","lineage":["https://openalex.org/I2803043650"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"L. Kohaupt","raw_affiliation_strings":["a  TFH Berlin , FB II, Luxemburger Str. 10, D-13353, Berlin","TFH Berlin , FB II, Luxemburger Str. 10, D-13353, Berlin"],"affiliations":[{"raw_affiliation_string":"a  TFH Berlin , FB II, Luxemburger Str. 10, D-13353, Berlin","institution_ids":["https://openalex.org/I2803043650"]},{"raw_affiliation_string":"TFH Berlin , FB II, Luxemburger Str. 10, D-13353, Berlin","institution_ids":["https://openalex.org/I4210115418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108440428"],"corresponding_institution_ids":["https://openalex.org/I2803043650","https://openalex.org/I4210115418"],"apc_list":null,"apc_paid":null,"fwci":0.5003,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69923372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"84","issue":"7","first_page":"1035","last_page":"1053"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6792173385620117},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6742115616798401},{"id":"https://openalex.org/keywords/differential-calculus","display_name":"Differential calculus","score":0.6662101149559021},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6070730090141296},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5847920179367065},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5279504656791687},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4952780306339264},{"id":"https://openalex.org/keywords/calculus-of-variations","display_name":"Calculus of variations","score":0.4515213370323181},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.44847676157951355},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4447929859161377},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4125858545303345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.293287456035614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05327942967414856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6792173385620117},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6742115616798401},{"id":"https://openalex.org/C56802139","wikidata":"https://www.wikidata.org/wiki/Q149999","display_name":"Differential calculus","level":2,"score":0.6662101149559021},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6070730090141296},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5847920179367065},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5279504656791687},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4952780306339264},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.4515213370323181},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44847676157951355},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4447929859161377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4125858545303345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.293287456035614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05327942967414856},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701288865","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701288865","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W116296291","https://openalex.org/W631199682","https://openalex.org/W1591175830","https://openalex.org/W1659294350","https://openalex.org/W1964077710","https://openalex.org/W1968534611","https://openalex.org/W1975063402","https://openalex.org/W1984819558","https://openalex.org/W2000962353","https://openalex.org/W2012236682","https://openalex.org/W2033346468","https://openalex.org/W2033666012","https://openalex.org/W2063838717","https://openalex.org/W2091359949","https://openalex.org/W2118430238","https://openalex.org/W2160034507","https://openalex.org/W2324155506","https://openalex.org/W2809729584","https://openalex.org/W3209416867","https://openalex.org/W4242260527","https://openalex.org/W4244473520","https://openalex.org/W4244809865","https://openalex.org/W4255754126"],"related_works":["https://openalex.org/W2122363530","https://openalex.org/W964806946","https://openalex.org/W4254361183","https://openalex.org/W1969395704","https://openalex.org/W2391627233","https://openalex.org/W4312518681","https://openalex.org/W4231345116","https://openalex.org/W3198949321","https://openalex.org/W1494731978","https://openalex.org/W251298227"],"abstract_inverted_index":{"Abstract":[0],"In":[1,31],"an":[2],"earlier":[3],"paper,":[4,34],"the":[5,20,24,32,40,54,60],"author":[6],"introduced":[7],"new":[8,45],"upper":[9,22],"bounds":[10],"for":[11,39],"free":[12],"linear":[13],"and":[14,47],"nonlinear":[15],"vibration":[16],"systems;":[17],"to":[18],"compute":[19],"best":[21],"bounds,":[23],"differential":[25],"calculus":[26,72],"of":[27,73],"norms":[28,74],"was":[29],"applied.":[30],"present":[33],"this":[35],"work":[36],"is":[37],"continued":[38],"corresponding":[41],"excited":[42],"systems.":[43],"Some":[44],"techniques":[46],"ideas":[48],"are":[49],"involved.":[50],"The":[51],"results":[52],"in":[53],"applications":[55],"cannot":[56],"be":[57],"obtained":[58],"by":[59],"methods":[61],"used":[62],"so":[63],"far.":[64],"Keywords:":[65],"Nonlinear":[66],"dynamical":[67],"systemExcited":[68],"systemVibration":[69],"modelUpper":[70],"boundDifferential":[71]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}