{"id":"https://openalex.org/W4403774575","doi":"https://doi.org/10.1137/23m1616935","title":"Reduction by Symmetries of Contact Mechanical Systems on Lie Groups","display_name":"Reduction by Symmetries of Contact Mechanical Systems on Lie Groups","publication_year":2024,"publication_date":"2024-10-25","ids":{"openalex":"https://openalex.org/W4403774575","doi":"https://doi.org/10.1137/23m1616935"},"language":"en","primary_location":{"id":"doi:10.1137/23m1616935","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1616935","pdf_url":null,"source":{"id":"https://openalex.org/S2996807011","display_name":"SIAM Journal on Applied Algebra and Geometry","issn_l":"2470-6566","issn":["2470-6566"],"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 Algebra and Geometry","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/A5114410527","display_name":"Alexandre Anahory","orcid":null},"institutions":[{"id":"https://openalex.org/I125068653","display_name":"IE University","ror":"https://ror.org/02jjdwm75","country_code":"ES","type":"education","lineage":["https://openalex.org/I125068653"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Alexandre Anahory","raw_affiliation_strings":["School of Science and Technology, IE University, 28046 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology, IE University, 28046 Madrid, Spain","institution_ids":["https://openalex.org/I125068653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011498718","display_name":"Leonardo Colombo","orcid":"https://orcid.org/0000-0003-2085-3871"},"institutions":[{"id":"https://openalex.org/I4210125392","display_name":"Centre for Automation and Robotics","ror":"https://ror.org/02wh02235","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210125392","https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Leonardo J. Colombo","raw_affiliation_strings":["Centro de Autom\u00e1tica y Rob\u00f3tica (CSIC-UPM), Carretera de Campo Real, km 0, 200, 28500 Arganda del Rey, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Autom\u00e1tica y Rob\u00f3tica (CSIC-UPM), Carretera de Campo Real, km 0, 200, 28500 Arganda del Rey, Spain","institution_ids":["https://openalex.org/I4210125392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074874410","display_name":"Manuel de Le\u00f3n","orcid":"https://orcid.org/0000-0002-8028-2348"},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel de Leon","raw_affiliation_strings":["Instituto de Ciencias Matematicas SICCalle Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28048 Madrid, Spain, and Real Academia de Ciencias, 28004 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matematicas SICCalle Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28048 Madrid, Spain, and Real Academia de Ciencias, 28004 Madrid, Spain","institution_ids":["https://openalex.org/I4210157032"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036992611","display_name":"Juan Carlos Marrero","orcid":"https://orcid.org/0000-0003-3341-515X"},"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":"Juan Carlos Marrero","raw_affiliation_strings":["ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica, Departamento de Matem\u00e1ticas, Estad\u00edstica e Investigaci\u00f3n Operativa and Instituto de Matem\u00e1ticas y Aplicaciones MAULLFaculty of Sciences, University of La Laguna, 38200, San Crist\u00f3bal de La Laguna. Santa Cruz de Tenerife, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3341-515X","affiliations":[{"raw_affiliation_string":"ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica, Departamento de Matem\u00e1ticas, Estad\u00edstica e Investigaci\u00f3n Operativa and Instituto de Matem\u00e1ticas y Aplicaciones MAULLFaculty of Sciences, University of La Laguna, 38200, San Crist\u00f3bal de La Laguna. Santa Cruz de Tenerife, Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061941032","display_name":"David Mart\u0131\u0301n de Diego","orcid":"https://orcid.org/0000-0001-6762-8909"},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"David Mart\u00edn de Diego","raw_affiliation_strings":["Instituto de Ciencias Matematicas (CSIC), Calle Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28048 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matematicas (CSIC), Calle Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28048 Madrid, Spain","institution_ids":["https://openalex.org/I4210157032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011787968","display_name":"Edith Padr\u00f3n","orcid":"https://orcid.org/0000-0002-4808-4632"},"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":"Edith Padr\u00f3n","raw_affiliation_strings":["ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica, Departamento de Matem\u00e1ticas, Estad\u00edstica e Investigaci\u00f3n Operativa and Instituto de Matem\u00e1ticas y Aplicaciones MAULLFaculty of Sciences, University of La Laguna, 38200, San Crist\u00f3bal de La Laguna. Santa Cruz de Tenerife, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ULL-CSIC Geometr\u00eda Diferencial y Mec\u00e1nica Geom\u00e9trica, Departamento de Matem\u00e1ticas, Estad\u00edstica e Investigaci\u00f3n Operativa and Instituto de Matem\u00e1ticas y Aplicaciones MAULLFaculty of Sciences, University of La Laguna, 38200, San Crist\u00f3bal de La Laguna. Santa Cruz de Tenerife, Spain","institution_ids":["https://openalex.org/I158438070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5114410527"],"corresponding_institution_ids":["https://openalex.org/I125068653"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28978828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"4","first_page":"821","last_page":"845"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9898999929428101,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9898999929428101,"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":0.9800000190734863,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9470000267028809,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/reduction","display_name":"Reduction (mathematics)","score":0.6632183790206909},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6509099006652832},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49990105628967285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4751072824001312},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4595690071582794},{"id":"https://openalex.org/keywords/mechanical-system","display_name":"Mechanical system","score":0.4592869281768799},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4509701728820801},{"id":"https://openalex.org/keywords/simple-lie-group","display_name":"Simple Lie group","score":0.4372527301311493},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34169793128967285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2984277009963989},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17775636911392212},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1758403778076172},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1538303792476654}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6632183790206909},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6509099006652832},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49990105628967285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4751072824001312},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4595690071582794},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.4592869281768799},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4509701728820801},{"id":"https://openalex.org/C22365015","wikidata":"https://www.wikidata.org/wiki/Q1003162","display_name":"Simple Lie group","level":3,"score":0.4372527301311493},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34169793128967285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2984277009963989},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17775636911392212},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1758403778076172},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1538303792476654}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1616935","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1616935","pdf_url":null,"source":{"id":"https://openalex.org/S2996807011","display_name":"SIAM Journal on Applied Algebra and Geometry","issn_l":"2470-6566","issn":["2470-6566"],"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 Algebra and Geometry","raw_type":"journal-article"},{"id":"pmh:oai:digital.csic.es:10261/381563","is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/381563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"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":"Preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3329480268","display_name":null,"funder_award_id":"RED2022-134301-TD","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6955089623","display_name":null,"funder_award_id":"PID2022-137909-NB-C22","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1495727713","https://openalex.org/W1972639420","https://openalex.org/W1982779826","https://openalex.org/W1984563642","https://openalex.org/W1999342826","https://openalex.org/W2008796127","https://openalex.org/W2048426384","https://openalex.org/W2054685239","https://openalex.org/W2064854048","https://openalex.org/W2086028243","https://openalex.org/W2087900360","https://openalex.org/W2159317210","https://openalex.org/W2162550557","https://openalex.org/W2171658097","https://openalex.org/W2572700032","https://openalex.org/W2579947342","https://openalex.org/W2761188526","https://openalex.org/W2895857342","https://openalex.org/W3013454549","https://openalex.org/W3037411837","https://openalex.org/W4205727720","https://openalex.org/W4229862659","https://openalex.org/W4292078513","https://openalex.org/W4298120695","https://openalex.org/W4321370765","https://openalex.org/W4323244459","https://openalex.org/W4388322878"],"related_works":["https://openalex.org/W4300900232","https://openalex.org/W2316272042","https://openalex.org/W1982016221","https://openalex.org/W302492989","https://openalex.org/W2054825259","https://openalex.org/W2502170138","https://openalex.org/W2218973506","https://openalex.org/W2324481426","https://openalex.org/W2801835169","https://openalex.org/W2963283328"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,32,42,52,60,76,84,91,95],"dynamics":[3],"of":[4,34,79,97,107],"contact":[5],"mechanical":[6,22],"systems":[7,23,99],"on":[8,24,41],"Lie":[9,16,25,66,71,105],"groups":[10],"that":[11],"are":[12,101],"invariant":[13,102],"under":[14,103],"a":[15,65,104],"group":[17,67],"action.":[18],"Analogously":[19],"to":[20,94],"standard":[21],"groups,":[26],"existing":[27],"symmetries":[28],"allow":[29],"for":[30,112],"reducing":[31],"number":[33],"equations.":[35],"Thus,":[36],"we":[37,74,89],"obtain":[38,75],"Euler-Poincar\\'e-Herglotz":[39],"equations":[40,81],"extended":[43,53],"reduced":[44],"phase":[45,54],"space":[46,55],"\\frakg":[47,69],"\\times":[48,57],"\\BbbR":[49],"associated":[50],"with":[51],"TG":[56],"\\BbbR,":[58],"where":[59],"configuration":[61],"manifold":[62],"G":[63],"is":[64],"and":[68,114],"its":[70],"algebra.":[72],"Furthermore,":[73],"Hamiltonian":[77],"counterpart":[78],"these":[80],"by":[82],"studying":[83],"underlying":[85],"Jacobi":[86],"structure.":[87],"Finally,":[88],"extend":[90],"reduction":[92],"process":[93],"case":[96],"symmetry-breaking":[98],"which":[100],"subgroup":[106],"symmetries.":[108],"\u00a9":[109],"2024":[110],"Society":[111],"Industrial":[113],"Applied":[115],"Mathematics.":[116]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}