{"id":"https://openalex.org/W7204763028","doi":"https://doi.org/10.48550/arxiv.2608.28278","title":"Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal $\\mathbb{R}$-bundles","display_name":"Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal $\\mathbb{R}$-bundles","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204763028","doi":"https://doi.org/10.48550/arxiv.2608.28278"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.28278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28278","pdf_url":"https://arxiv.org/pdf/2608.28278","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.28278","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148802386","display_name":"C. Ben\\'\u0131tez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ben\u00edtez, C.","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029090150","display_name":"David Iglesias Ponte","orcid":"https://orcid.org/0000-0002-3924-1077","observed_orcids":["https://orcid.org/0000-0002-3924-1077"]},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ponte, D. Iglesias","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048863638","display_name":"J.C. Marrero","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marrero, J. C.","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088981854","display_name":"E. Padr\u00f3n","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Padr\u00f3n, E.","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Estad\u00edstica e Investigaci\u00f3n Operativa Instituto Universitario de Matem\u00e1ticas y Aplicaciones (IMAULL) ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica University of La Laguna , La Laguna , Spain","institution_ids":["https://openalex.org/I158438070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I158438070"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.35989999771118164,"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"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.35989999771118164,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.2587999999523163,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.18050000071525574,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/time-dependent-hamiltonian-systems","display_name":"time-dependent Hamiltonian systems","score":0.9589999914169312}],"concepts":[{"id":"https://openalex.org/C7979169","wikidata":"https://www.wikidata.org/wiki/Q1142143","display_name":"Cotangent bundle","level":3,"score":0.7979999780654907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7063000202178955},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6919999718666077},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5343999862670898},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5131999850273132},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4171999990940094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.373199999332428},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.36039999127388},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.30970001220703125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2879999876022339},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.2838999927043915}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.28278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28278","pdf_url":"https://arxiv.org/pdf/2608.28278","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.28278","doi":"https://doi.org/10.48550/arxiv.2608.28278","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.28278","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.28278","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28278","pdf_url":"https://arxiv.org/pdf/2608.28278","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204763028.pdf","grobid_xml":"https://content.openalex.org/works/W7204763028.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4408960372","https://openalex.org/W2066749535","https://openalex.org/W2950444389","https://openalex.org/W1546014850","https://openalex.org/W2131067936","https://openalex.org/W2168050238","https://openalex.org/W2950186583","https://openalex.org/W1508902276","https://openalex.org/W4200634080","https://openalex.org/W7097891138"],"abstract_inverted_index":{"The":[0],"reduction":[1,11,36,46,60,62],"of":[2,12,32,47,63,66],"mechanical":[3],"presymplectic":[4,64],"structures":[5,65],"and":[6,69],"its":[7],"application":[8],"to":[9,89],"the":[10,33,45,52,81,91],"time-dependent":[13,48],"Hamiltonian":[14,49],"systems":[15,50],"were":[16],"developed":[17],"in":[18,80],"a":[19],"recent":[20],"paper":[21,41],"(Guti\u00e9rrez":[22],"Sagredo":[23],"et":[24,77],"al,":[25,78],"2025).":[26],"This":[27,55],"approach":[28],"overcomes":[29],"some":[30],"limitations":[31],"original":[34],"Albert":[35],"(Albert,":[37],"1989).":[38],"In":[39],"this":[40,94],"we":[42],"will":[43,86],"describe":[44],"using":[51],"extended":[53],"formalism.":[54],"process":[56],"combines":[57],"cotangent":[58],"bundle":[59],"with":[61],"corank":[67],"1":[68],"2.":[70],"These":[71],"results":[72],"generalize":[73],"previous":[74],"work":[75],"(Lacirasella":[76],"2012),":[79],"same":[82],"direction.":[83],"Several":[84],"examples":[85],"be":[87],"presented":[88],"illustrate":[90],"theory":[92],"from":[93],"new":[95],"perspective.":[96]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-01T00:00:00"}
