{"id":"https://openalex.org/W1987464035","doi":"https://doi.org/10.1137/060671711","title":"Eulerian Equilibria of a Gyrostat in Newtonian Interaction with Two Rigid Bodies","display_name":"Eulerian Equilibria of a Gyrostat in Newtonian Interaction with Two Rigid Bodies","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1987464035","doi":"https://doi.org/10.1137/060671711","mag":"1987464035"},"language":"en","primary_location":{"id":"doi:10.1137/060671711","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060671711","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5041740147","display_name":"Juan A. Vera","orcid":"https://orcid.org/0000-0003-3496-1531"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. A. Vera","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041740147"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2808,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57103603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"4","first_page":"1378","last_page":"1396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.7387189865112305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.575852632522583},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5662014484405518},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5211431980133057},{"id":"https://openalex.org/keywords/newtonian-fluid","display_name":"Newtonian fluid","score":0.517203688621521},{"id":"https://openalex.org/keywords/hamiltonian-mechanics","display_name":"Hamiltonian mechanics","score":0.49962663650512695},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4782487452030182},{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.471962571144104},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.42782342433929443},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41180717945098877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.349648118019104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29965490102767944},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.25965362787246704},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.13325217366218567},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1100664734840393}],"concepts":[{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.7387189865112305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.575852632522583},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5662014484405518},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5211431980133057},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.517203688621521},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.49962663650512695},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4782487452030182},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.471962571144104},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.42782342433929443},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41180717945098877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.349648118019104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29965490102767944},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.25965362787246704},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.13325217366218567},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1100664734840393},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/060671711","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060671711","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1579823358","https://openalex.org/W1662971136","https://openalex.org/W1971144344","https://openalex.org/W1986007731","https://openalex.org/W2032885535","https://openalex.org/W2043368748","https://openalex.org/W2044046040","https://openalex.org/W2057267431","https://openalex.org/W2079452364","https://openalex.org/W2091776830","https://openalex.org/W3005332162","https://openalex.org/W4244913219","https://openalex.org/W4285719527","https://openalex.org/W4300886567"],"related_works":["https://openalex.org/W4366835705","https://openalex.org/W2034363746","https://openalex.org/W2008097580","https://openalex.org/W2930989993","https://openalex.org/W2149754020","https://openalex.org/W4308900515","https://openalex.org/W2949905238","https://openalex.org/W2110659829","https://openalex.org/W2183293709","https://openalex.org/W2074699179"],"abstract_inverted_index":{"In":[0,152],"this":[1,153],"paper":[2],"the":[3,11,26,34,41,44,53,71,79,85,98,112,120,123,139,145,155,161],"noncanonical":[4],"Hamiltonian":[5],"dynamics":[6,28,54,110],"of":[7,20,52,55,70,87,93,111,122,126,141,160,166,176],"a":[8,56,103],"gyrostat":[9,57,99,113],"in":[10,36,58,74,115,135],"three":[12,162],"body":[13,163],"problem":[14],"will":[15,24,65,83],"be":[16,66],"examined.":[17],"By":[18],"means":[19],"geometric-mechanics":[21],"methods":[22],"we":[23,32,82],"study":[25,84,121],"approximate":[27],"that":[29],"arises":[30],"when":[31],"develop":[33],"potential":[35],"Legendre":[37],"series":[38,42],"and":[39,119,144],"truncate":[40],"to":[43,102],"second":[45],"harmonics.":[46],"Some":[47],"relative":[48,89,95],"equilibria,":[49],"called":[50],"Eulerian,":[51],"Newtonian":[59],"interaction":[60],"with":[61,149],"two":[62],"rigid":[63],"bodies":[64],"studied.":[67],"Taking":[68],"advantage":[69],"results":[72,157],"obtained":[73,168],"previous":[75],"papers,":[76],"working":[77],"on":[78,158],"reduced":[80],"problem,":[81,164],"bifurcations":[86],"these":[88,150],"equilibria.":[90],"The":[91,107,131],"instability":[92],"Eulerian":[94,117],"equilibria":[96,128,159],"if":[97],"is":[100,105,133],"close":[101],"sphere":[104],"proven.":[106],"rotational":[108],"Poisson":[109],"placed":[114],"an":[116],"equilibrium":[118],"nonlinear":[124],"stability":[125],"some":[127],"are":[129,180],"considered.":[130],"analysis":[132],"done":[134],"vectorial":[136],"form":[137],"avoiding":[138],"use":[140],"canonical":[142],"variables":[143],"tedious":[146],"expressions":[147],"associated":[148],"variables.":[151],"way,":[154],"classic":[156,178],"many":[165],"them":[167],"by":[169],"other":[170],"authors":[171],"who":[172],"had":[173],"made":[174],"used":[175],"more":[177],"techniques,":[179],"generalized.":[181]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
