{"id":"https://openalex.org/W2920488564","doi":"https://doi.org/10.1017/9781108773355.009","title":"The Rigid Body Dynamics in an Ideal Fluid: Clebsch Top and Kummer Surfaces","display_name":"The Rigid Body Dynamics in an Ideal Fluid: Clebsch Top and Kummer Surfaces","publication_year":2020,"publication_date":"2020-03-02","ids":{"openalex":"https://openalex.org/W2920488564","doi":"https://doi.org/10.1017/9781108773355.009","mag":"2920488564"},"language":"en","primary_location":{"id":"doi:10.1017/9781108773355.009","doi":"https://doi.org/10.1017/9781108773355.009","is_oa":false,"landing_page_url":"https://doi.org/10.1017/9781108773355.009","pdf_url":null,"source":{"id":"https://openalex.org/S4306462995","display_name":"Cambridge University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrable Systems and Algebraic Geometry","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4288083562","display_name":"Integrable Systems and Algebraic Geometry"},"type":"book-chapter","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.00917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061560717","display_name":"Jean\u2013Pierre Fran\u00e7oise","orcid":"https://orcid.org/0000-0003-0699-1450","observed_orcids":["https://orcid.org/0000-0003-0699-1450"]},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Fran\u00e7oise","raw_affiliation_strings":["Sorbonne Universite\u0301"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universite\u0301","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033191279","display_name":"Daisuke Tarama","orcid":"https://orcid.org/0000-0001-8146-3645","observed_orcids":["https://orcid.org/0000-0001-8146-3645"]},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Daisuke Tarama","raw_affiliation_strings":["Department of Mathematical Sciences, Ritsumeikan Universtiy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Ritsumeikan Universtiy","institution_ids":["https://openalex.org/I135768898"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2687,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81180455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"288","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.4871000051498413,"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":0.4871000051498413,"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":0.29319998621940613,"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"}},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.03420000150799751,"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/rigid-body-dynamics","display_name":"rigid body dynamics","score":0.8970000147819519},{"id":"https://openalex.org/keywords/ideal-fluid","display_name":"perfect fluid","score":0.9179999828338623},{"id":"https://openalex.org/keywords/completely-integrable-hamiltonian-systems","display_name":"completely integrable Hamiltonian systems","score":0.8050000071525574},{"id":"https://openalex.org/keywords/kummer-surfaces","display_name":"Kummer surfaces","score":0.9190000295639038},{"id":"https://openalex.org/keywords/k3-surfaces","display_name":"K3 surfaces","score":0.9890000224113464},{"id":"https://openalex.org/keywords/linearization","display_name":"linearization","score":0.8360000252723694},{"id":"https://openalex.org/keywords/action-variables","display_name":"action variables","score":0.7919999957084656},{"id":"https://openalex.org/keywords/special-solutions","display_name":"special solutions","score":0.7699999809265137}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7354626059532166},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7085094451904297},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.6341818571090698},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5564301609992981},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5068297982215881},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.49797701835632324},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4794710874557495},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47491371631622314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3471345901489258},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34136396646499634},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2434121072292328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16514873504638672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07549294829368591}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/9781108773355.009","doi":"https://doi.org/10.1017/9781108773355.009","is_oa":false,"landing_page_url":"https://doi.org/10.1017/9781108773355.009","pdf_url":null,"source":{"id":"https://openalex.org/S4306462995","display_name":"Cambridge University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Integrable Systems and Algebraic Geometry","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1903.00917","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.00917","pdf_url":"https://arxiv.org/pdf/1903.00917","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03636200v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-03636200","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Integrable Systems and Algebraic Geometry, 1, Cambridge University Press, pp.288-312, 2020, &#x27E8;10.1017/9781108773355.009&#x27E9;","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"doi:10.48550/arxiv.1903.00917","doi":"https://doi.org/10.48550/arxiv.1903.00917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.00917","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.00917","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.00917","pdf_url":"https://arxiv.org/pdf/1903.00917","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.44999998807907104,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G6053794972","display_name":"Singularity of geometric structures appearing in dynamical systems","funder_award_id":"19K14540","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2920488564.pdf","grobid_xml":"https://content.openalex.org/works/W2920488564.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W20986775","https://openalex.org/W131936149","https://openalex.org/W1524590822","https://openalex.org/W1607870401","https://openalex.org/W1924224370","https://openalex.org/W1966174478","https://openalex.org/W2032165602","https://openalex.org/W2042319780","https://openalex.org/W2043283480","https://openalex.org/W2052624852","https://openalex.org/W2077612504","https://openalex.org/W2090997510","https://openalex.org/W2120017345","https://openalex.org/W2134848070","https://openalex.org/W2559821921","https://openalex.org/W4394647445"],"related_works":["https://openalex.org/W1965043874","https://openalex.org/W1577606234","https://openalex.org/W88265998","https://openalex.org/W1916844891","https://openalex.org/W25827740","https://openalex.org/W25683132","https://openalex.org/W1992045028","https://openalex.org/W1634204107","https://openalex.org/W44123443","https://openalex.org/W2509878026"],"abstract_inverted_index":{"This":[0],"is":[1,40,64,70,105],"an":[2,98],"expository":[3],"presentation":[4],"of":[5,11,25,29,34,61,75,79,101],"a":[6,15,22,52,58,76],"completely":[7],"integrable":[8],"Hamiltonian":[9],"system":[10,69],"Clebsch":[12],"top":[13],"under":[14],"special":[16,88],"condition":[17],"introduced":[18],"by":[19,45,83],"Weber.":[20],"After":[21],"brief":[23],"account":[24],"the":[26,30,32,35,43,68,73,84,102],"geometric":[27,53],"setting":[28],"system,":[31],"structure":[33],"Poisson":[36],"commuting":[37],"first":[38],"integrals":[39],"discussed":[41],"following":[42],"methods":[44],"Magri":[46],"and":[47,66],"Skrypnyk.":[48],"Introducing":[49],"supplementary":[50],"coordinates,":[51],"connection":[54],"to":[55],"Kummer":[56],"surfaces,":[57,63],"typical":[59],"class":[60],"K3":[62],"mentioned":[65],"also":[67],"linearized":[71],"on":[72],"Jacobian":[74],"hyperelliptic":[77],"curve":[78],"genus":[80],"two":[81],"determined":[82],"system.":[85],"Further":[86],"some":[87,92],"solutions":[89],"contained":[90],"in":[91],"vector":[93],"subspace":[94],"are":[95],"discussed.":[96],"Finally,":[97],"explicit":[99],"computation":[100],"action":[103],"variables":[104],"introduced.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2022-07-29T00:00:00"}
