{"id":"https://openalex.org/W4205702425","doi":"https://doi.org/10.20537/nd210406","title":"Qualitative Analysis of the Dynamics of a Trailed Wheeled Vehicle with Periodic Excitation","display_name":"Qualitative Analysis of the Dynamics of a Trailed Wheeled Vehicle with Periodic Excitation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W4205702425","doi":"https://doi.org/10.20537/nd210406"},"language":"en","primary_location":{"id":"doi:10.20537/nd210406","doi":"https://doi.org/10.20537/nd210406","is_oa":true,"landing_page_url":"https://doi.org/10.20537/nd210406","pdf_url":"http://nd.ics.org.ru/upload/iblock/3a9/mikishanina.pdf","source":{"id":"https://openalex.org/S4210174850","display_name":"Nelineinaya Dinamika","issn_l":"1816-448X","issn":["1816-448X","1817-5155","2658-5316","2658-5324"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nelineinaya Dinamika","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://nd.ics.org.ru/upload/iblock/3a9/mikishanina.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075906823","display_name":"Evgeniya Arifzhanovna Mikishanina","orcid":"https://orcid.org/0000-0003-4408-1888","observed_orcids":["https://orcid.org/0000-0003-4408-1888"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I181171540","display_name":"Chuvash State University","ror":"https://ror.org/01jmd7f74","country_code":"RU","type":"education","lineage":["https://openalex.org/I181171540"]},{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. A. Mikishanina","raw_affiliation_strings":["Chuvash State University Moskovskii pr. 15, 428015 Cheboksary, Russia","Steklov Mathematical Institute of the Russian Academy of Sciences ul. Gubkina 8, 119991 Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chuvash State University Moskovskii pr. 15, 428015 Cheboksary, Russia","institution_ids":["https://openalex.org/I181171540"]},{"raw_affiliation_string":"Steklov Mathematical Institute of the Russian Academy of Sciences ul. Gubkina 8, 119991 Moscow, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075906823"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I181171540","https://openalex.org/I2801160905"],"apc_list":null,"apc_paid":null,"fwci":0.2818,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.44930825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"17","issue":"4","first_page":"437","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.5342000126838684,"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"}},"topics":[{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.5342000126838684,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.427700012922287,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.009499999694526196,"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/periodic-forcing","display_name":"periodic forcing","score":0.9520000219345093},{"id":"https://openalex.org/keywords/nonholonomic-constraints","display_name":"nonholonomic constraints","score":0.7260000109672546},{"id":"https://openalex.org/keywords/qualitative-dynamics","display_name":"qualitative dynamics","score":0.6570000052452087},{"id":"https://openalex.org/keywords/boundedness-of-solutions","display_name":"boundedness of solutions","score":0.8809999823570251},{"id":"https://openalex.org/keywords/center-of-mass-displacement","display_name":"center of mass displacement","score":0.7110000252723694},{"id":"https://openalex.org/keywords/quasiperiodic-motion","display_name":"quasi-periodic motion","score":0.7829999923706055},{"id":"https://openalex.org/keywords/asymptotic-dynamics","display_name":"asymptotic dynamics","score":0.7570000290870667},{"id":"https://openalex.org/keywords/nonautonomous-differential-equations","display_name":"non-autonomous differential equations","score":0.531000018119812}],"concepts":[{"id":"https://openalex.org/C36185635","wikidata":"https://www.wikidata.org/wiki/Q17006925","display_name":"Center of mass (relativistic)","level":3,"score":0.6877731680870056},{"id":"https://openalex.org/C138632511","wikidata":"https://www.wikidata.org/wiki/Q2478109","display_name":"Nonholonomic system","level":4,"score":0.6511688232421875},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5101807117462158},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4891248345375061},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4799216687679291},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45586585998535156},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45270392298698425},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.43340855836868286},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4254944920539856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4183225631713867},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.41660982370376587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40975257754325867},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3463974893093109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19159090518951416},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11190298199653625},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C19966478","wikidata":"https://www.wikidata.org/wiki/Q4810574","display_name":"Mobile robot","level":3,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C47513753","wikidata":"https://www.wikidata.org/wiki/Q3502299","display_name":"Energy\u2013momentum relation","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.20537/nd210406","doi":"https://doi.org/10.20537/nd210406","is_oa":true,"landing_page_url":"https://doi.org/10.20537/nd210406","pdf_url":"http://nd.ics.org.ru/upload/iblock/3a9/mikishanina.pdf","source":{"id":"https://openalex.org/S4210174850","display_name":"Nelineinaya Dinamika","issn_l":"1816-448X","issn":["1816-448X","1817-5155","2658-5316","2658-5324"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nelineinaya Dinamika","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.20537/nd210406","doi":"https://doi.org/10.20537/nd210406","is_oa":true,"landing_page_url":"https://doi.org/10.20537/nd210406","pdf_url":"http://nd.ics.org.ru/upload/iblock/3a9/mikishanina.pdf","source":{"id":"https://openalex.org/S4210174850","display_name":"Nelineinaya Dinamika","issn_l":"1816-448X","issn":["1816-448X","1817-5155","2658-5316","2658-5324"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nelineinaya Dinamika","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5112716591","display_name":null,"funder_award_id":"19-71-30012","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205702425.pdf","grobid_xml":"https://content.openalex.org/works/W4205702425.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1913782103","https://openalex.org/W2019575952","https://openalex.org/W2037781026","https://openalex.org/W2101419433","https://openalex.org/W2145486573","https://openalex.org/W2620753492","https://openalex.org/W2777481276","https://openalex.org/W2782577906","https://openalex.org/W2794326485","https://openalex.org/W2883478465","https://openalex.org/W2914638463","https://openalex.org/W2926126602","https://openalex.org/W2934258467","https://openalex.org/W3116940214","https://openalex.org/W3154014256","https://openalex.org/W4292078513"],"related_works":["https://openalex.org/W3154014256","https://openalex.org/W4389619730","https://openalex.org/W3116940214","https://openalex.org/W4396822234","https://openalex.org/W2299381572","https://openalex.org/W3115723863","https://openalex.org/W3216000130","https://openalex.org/W7123361566","https://openalex.org/W4407501390","https://openalex.org/W2146512138"],"abstract_inverted_index":{"This":[0],"article":[1,168],"examines":[2],"the":[3,6,37,41,49,52,60,65,69,76,83,87,91,101,106,111,115,146,149,155,162,170,173,176,182,185,191,195,201,205,211,216,223,231,234,243,251,257],"dynamics":[4,147,255],"of":[5,8,13,43,46,51,57,59,68,73,75,90,95,103,105,114,118,126,133,145,148,157,164,172,175,184,190,194,204,207,210,218,225,229,233,245,249],"movement":[7,42,94],"a":[9,22,44,130,246],"wheeled":[10,197],"vehicle":[11],"consisting":[12],"two":[14],"links":[15],"(trolleys).":[16],"The":[17,55,71,93,167],"trolleys":[18],"are":[19,220],"articulated":[20,196],"by":[21],"frame.":[23],"One":[24],"wheel":[25],"pair":[26,45],"is":[27,34,136,139,151],"fixed":[28],"on":[29,110,200],"each":[30],"link.":[31],"Periodic":[32],"excitation":[33,159],"created":[35],"in":[36,154,161],"system":[38,132,150,177,235,252,260],"due":[39],"to":[40,86],"masses":[47,97],"along":[48,82],"axis":[50,84],"first":[53,77],"trolley.":[54],"center":[56,67,72,89,102,228,248],"mass":[58,74,104],"second":[61],"link":[62,78,193],"coincides":[63],"with":[64,120],"geometric":[66,88],"wheelset.":[70,92],"can":[79,236],"be":[80,237],"shifted":[81],"relative":[85],"point":[96],"does":[98],"not":[99],"change":[100],"trolley":[107],"itself.":[108],"Based":[109,199],"joint":[112],"solution":[113,203],"Lagrange":[116],"equations":[117,135,206],"motion":[119,219],"undetermined":[121],"multipliers":[122],"and":[123,160,187,215,240,256],"time":[124],"derivatives":[125],"nonholonomic":[127],"coupling":[128],"equations,":[129],"reduced":[131],"differential":[134],"obtained,":[137],"which":[138,180],"generally":[140],"nonautonomous.":[141],"A":[142],"qualitative":[143],"analysis":[144],"carried":[152],"out":[153],"absence":[156],"periodic":[158,165],"presence":[163],"excitation.":[166],"proves":[169],"boundedness":[171,183],"solutions":[174,232],"under":[178],"study,":[179],"gives":[181],"linear":[186],"angular":[188],"velocities":[189],"driving":[192],"vehicle.":[198],"numerical":[202],"motion,":[208],"graphs":[209],"desired":[212],"mechanical":[213],"parameters":[214],"trajectory":[217],"constructed.":[221],"In":[222,242],"case":[224,244],"an":[226],"unbiased":[227],"mass,":[230,250],"periodic,":[238],"quasi-periodic":[239],"asymptotic.":[241],"displaced":[247],"has":[253],"asymptotic":[254],"mobile":[258],"transport":[259],"goes":[261],"into":[262],"rectilinear":[263],"uniform":[264],"motion.":[265]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2022-01-26T00:00:00"}