{"id":"https://openalex.org/W7204909678","doi":"https://doi.org/10.48550/arxiv.2608.29731","title":"Interconnection of port-Hamiltonian systems is not dynamical","display_name":"Interconnection of port-Hamiltonian systems is not dynamical","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204909678","doi":"https://doi.org/10.48550/arxiv.2608.29731"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29731","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29731","pdf_url":"https://arxiv.org/pdf/2608.29731","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"},"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/2608.29731","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039318143","display_name":"Jonas Kirchhoff","orcid":"https://orcid.org/0000-0001-6451-4500","observed_orcids":["https://orcid.org/0000-0001-6451-4500"]},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kirchhoff, Jonas","raw_affiliation_strings":["Institut f\u00fcr Mathematik , Martin-Luther-Universit\u00e4t Halle-Wittenberg , Theodor-Lieser-Stra\u00dfe 5 , Halle (Saale) , 06120 , Sachsen-Anhalt , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik , Martin-Luther-Universit\u00e4t Halle-Wittenberg , Theodor-Lieser-Stra\u00dfe 5 , Halle (Saale) , 06120 , Sachsen-Anhalt , Germany","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039318143"],"corresponding_institution_ids":["https://openalex.org/I68956291"],"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9922000169754028,"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"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9922000169754028,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.0017999999690800905,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/port-hamiltonian-systems","display_name":"port-Hamiltonian systems","score":0.9990000128746033},{"id":"https://openalex.org/keywords/dirac-structures","display_name":"Dirac structures","score":0.9940000176429749},{"id":"https://openalex.org/keywords/behavioral-equivalence","display_name":"behavioral equivalence","score":0.6819999814033508}],"concepts":[{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.7466999888420105},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6790000200271606},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5645999908447266},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5403000116348267},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5267999768257141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4300000071525574},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4187000095844269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36309999227523804},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35359999537467957},{"id":"https://openalex.org/C111118313","wikidata":"https://www.wikidata.org/wiki/Q1227387","display_name":"Dirac measure","level":5,"score":0.3043999969959259},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2930000126361847},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.28369998931884766},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2630000114440918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2630000114440918},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.2590999901294708},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2547000050544739},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29731","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29731","pdf_url":"https://arxiv.org/pdf/2608.29731","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":"doi:10.48550/arxiv.2608.29731","doi":"https://doi.org/10.48550/arxiv.2608.29731","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29731","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:2608.29731","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29731","pdf_url":"https://arxiv.org/pdf/2608.29731","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204909678.pdf","grobid_xml":"https://content.openalex.org/works/W7204909678.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2395317948","https://openalex.org/W2797301441","https://openalex.org/W1574753198","https://openalex.org/W2112724670","https://openalex.org/W6886026809","https://openalex.org/W2169969507","https://openalex.org/W2618414403","https://openalex.org/W2102549007","https://openalex.org/W2754497584","https://openalex.org/W1545256893"],"abstract_inverted_index":{"The":[0],"interconnection":[1],"of":[2,18,68,85],"port-Hamiltonian":[3,71,90],"systems":[4,94],"is":[5,30,51,105],"usually":[6,41,45],"understood":[7],"as":[8],"structure-preserving":[9],"due":[10],"to":[11],"the":[12,16,19,69,74,78,81],"geometric":[13],"fact":[14],"that":[15,53],"composition":[17],"underlying":[20],"Dirac":[21,26,87,100],"structures":[22,88],"produces":[23],"again":[24],"a":[25,63,102],"structure.":[27],"Pointwise,":[28],"this":[29],"doubtless":[31],"true,":[32],"but":[33],"when":[34],"comparing":[35],"dynamical":[36,75],"systems,":[37,92],"their":[38],"trajectories":[39,44],"are":[40,95],"compared,":[42],"and":[43,56,73],"obey":[46],"some":[47],"regularity":[48],"assumptions.":[49],"It":[50],"shown":[52],"both":[54,93],"classical":[55],"weak":[57],"solutions":[58,67],"do":[59],"not":[60],"necessarily":[61],"exhibit":[62],"one-to-one":[64],"correspondence":[65],"between":[66],"interconnected":[70],"system,":[72],"system":[76],"realising":[77],"interconnection.":[79],"In":[80],"mostly":[82],"studied":[83],"cases":[84],"constant":[86],"or":[89],"ODE":[91],"behaviourally":[96],"equivalent;":[97],"for":[98],"non-constant":[99],"structures,":[101],"sufficient":[103],"condition":[104],"given.":[106]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-02T00:00:00"}