{"id":"https://openalex.org/W7130358953","doi":"https://doi.org/10.48550/arxiv.2602.15704","title":"Controlled oscillation modeling using port-Hamiltonian neural networks","display_name":"Controlled oscillation modeling using port-Hamiltonian neural networks","publication_year":2026,"publication_date":"2026-02-17","ids":{"openalex":"https://openalex.org/W7130358953","doi":"https://doi.org/10.48550/arxiv.2602.15704"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-05515374v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05515374","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,"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":"2026","raw_type":"info:eu-repo/semantics/preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.15704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032653952","display_name":"Maximino Linares","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Linares, Maximino","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126357344","display_name":"Guillaume Doras","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Doras, Guillaume","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126308811","display_name":"Thomas H\u00e9lie","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H\u00e9lie, Thomas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.7580000162124634,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.7580000162124634,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.1891999989748001,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.016300000250339508,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7247999906539917},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.6651999950408936},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6395000219345093},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5449000000953674},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.534500002861023},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5108000040054321},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.48919999599456787},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.4645000100135803}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7247999906539917},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.6651999950408936},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6395000219345093},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5449000000953674},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.534500002861023},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5108000040054321},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.48919999599456787},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.4645000100135803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4625999927520752},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.435699999332428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3901999890804291},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.3813999891281128},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3749000132083893},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.3163999915122986},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.30090001225471497},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.28790000081062317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25609999895095825},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:HAL:hal-05515374v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05515374","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,"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":"2026","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2602.15704","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15704","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,"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":"doi:10.48550/arxiv.2602.15704","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15704","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,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.4938890039920807,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Learning":[0],"dynamical":[1,79,99],"systems":[2,80,91,172],"through":[3,133],"purely":[4],"data-driven":[5],"methods":[6,28,42],"is":[7],"challenging":[8],"as":[9],"they":[10,48],"do":[11,50],"not":[12,51],"learn":[13],"the":[14,76,134,143,151,158,177,181],"underlying":[15],"conservation":[16],"laws":[17],"that":[18],"enable":[19],"them":[20],"to":[21,67,94,166,175],"correctly":[22],"generalize.":[23],"Existing":[24],"port-Hamiltonian":[25,82,171,184],"neural":[26,83,185],"network":[27],"have":[29],"recently":[30],"been":[31],"successfully":[32],"applied":[33],"for":[34,89],"modeling":[35],"mechanical":[36],"systems.":[37],"However,":[38],"even":[39],"though":[40],"these":[41],"are":[43,87,162],"designed":[44],"on":[45,58],"power-balance":[46],"principles,":[47],"usually":[49],"consider":[52],"power-preserving":[53],"discretizations":[54],"and":[55,121,174],"often":[56],"rely":[57],"Runge-Kutta":[59,155],"numerical":[60],"methods.":[61],"In":[62],"this":[63,146],"work,":[64],"we":[65],"propose":[66],"use":[68,144],"a":[69,103,111,115,122,129,137,154],"second-order":[70],"discrete":[71,147],"gradient":[72,148],"method":[73,149,156],"embedded":[74],"in":[75,128],"learning":[77],"of":[78,98,136,145,153,157,179,183],"with":[81,107,114],"networks.":[84],"Numerical":[85],"results":[86],"provided":[88],"three":[90],"deliberately":[92],"selected":[93],"span":[95],"different":[96],"ranges":[97],"behavior":[100],"under":[101],"control:":[102],"baseline":[104],"harmonic":[105],"oscillator":[106],"quadratic":[108],"energy":[109],"storage;":[110],"Duffing":[112],"oscillator,":[113,124],"non-quadratic":[116],"Hamiltonian":[117],"offering":[118],"amplitude-dependent":[119],"effects;":[120],"self-sustained":[123],"which":[125],"can":[126],"stabilize":[127],"controlled":[130],"limit":[131],"cycle":[132],"incorporation":[135],"nonlinear":[138],"dissipation.":[139],"We":[140],"show":[141],"how":[142],"outperforms":[150],"performance":[152],"same":[159],"order.":[160],"Experiments":[161],"also":[163],"carried":[164],"out":[165],"compare":[167],"two":[168],"theoretically":[169],"equivalent":[170],"formulations":[173],"analyze":[176],"impact":[178],"regularizing":[180],"Jacobian":[182],"networks":[186],"during":[187],"training.":[188]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-02-19T00:00:00"}