{"id":"https://openalex.org/W2139401819","doi":"https://doi.org/10.1109/cdc.2008.4738952","title":"Conservation laws and open systems on higher-dimensional networks","display_name":"Conservation laws and open systems on higher-dimensional networks","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2139401819","doi":"https://doi.org/10.1109/cdc.2008.4738952","mag":"2139401819"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/14948591-5fd6-41d9-b70e-fb08ff0f1d20","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A.J. van der Schaft","raw_affiliation_strings":["Institute of Mathematics and Computing Science, University of Groningam, Netherlands","Inst. of Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computing Science, University of Groningam, Netherlands","institution_ids":[]},{"raw_affiliation_string":"Inst. of Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045128637","display_name":"Bernhard Maschke","orcid":"https://orcid.org/0000-0003-0221-2843"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B.M. Maschke","raw_affiliation_strings":["Laboratory dAutomatique et de Genie des Proc\u00e9d\u00e9s, Universit\u00e9 Claude Bemard Lyon 1, Villeurbanne, France","Lab. d'Autom. et de Genie des Procedes, Univ. Claude Bernard Lyon-1, Villeurbanne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory dAutomatique et de Genie des Proc\u00e9d\u00e9s, Universit\u00e9 Claude Bemard Lyon 1, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]},{"raw_affiliation_string":"Lab. d'Autom. et de Genie des Procedes, Univ. Claude Bernard Lyon-1, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9168,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90614207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"799","last_page":"804"},"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":0.9984999895095825,"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":0.9984999895095825,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9937000274658203,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/conservation-law","display_name":"Conservation law","score":0.6387690305709839},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6136515140533447},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5738113522529602},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4736267924308777},{"id":"https://openalex.org/keywords/physical-law","display_name":"Physical law","score":0.45040756464004517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44328784942626953},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42663463950157166},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.42002660036087036},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37641963362693787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35262468457221985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18251344561576843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15684381127357483},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11247503757476807},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10284197330474854}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6387690305709839},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6136515140533447},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5738113522529602},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4736267924308777},{"id":"https://openalex.org/C194583477","wikidata":"https://www.wikidata.org/wiki/Q408891","display_name":"Physical law","level":2,"score":0.45040756464004517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44328784942626953},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42663463950157166},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.42002660036087036},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37641963362693787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35262468457221985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18251344561576843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15684381127357483},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11247503757476807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10284197330474854},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2008.4738952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/14948591-5fd6-41d9-b70e-fb08ff0f1d20","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/14948591-5fd6-41d9-b70e-fb08ff0f1d20","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Schaft, A J V D & Maschke, B M 2008, Conservation laws and open systems on higher-dimensional networks. in 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008). IEEE Conference on Decision and Control, University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, NEW YORK, pp. 799-804, 47th IEEE Conference on Decision and Control, Mexico, 09/12/2008.","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.rug.nl:openaire/14948591-5fd6-41d9-b70e-fb08ff0f1d20","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/14948591-5fd6-41d9-b70e-fb08ff0f1d20","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Schaft, A J V D & Maschke, B M 2008, Conservation laws and open systems on higher-dimensional networks. in 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008). IEEE Conference on Decision and Control, University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, NEW YORK, pp. 799-804, 47th IEEE Conference on Decision and Control, Mexico, 09/12/2008.","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/14948591-5fd6-41d9-b70e-fb08ff0f1d20","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/14948591-5fd6-41d9-b70e-fb08ff0f1d20","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Schaft, A J V D & Maschke, B M 2008, Conservation laws and open systems on higher-dimensional networks. in 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008). IEEE Conference on Decision and Control, University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, NEW YORK, pp. 799-804, 47th IEEE Conference on Decision and Control, Mexico, 09/12/2008.","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1489896549","https://openalex.org/W1578706793","https://openalex.org/W2004308928","https://openalex.org/W2144355672","https://openalex.org/W2146794336","https://openalex.org/W2148443868","https://openalex.org/W3146195181","https://openalex.org/W4237496336","https://openalex.org/W4243855827"],"related_works":["https://openalex.org/W1995118522","https://openalex.org/W64916076","https://openalex.org/W2090020940","https://openalex.org/W4364366001","https://openalex.org/W1632811932","https://openalex.org/W2085563777","https://openalex.org/W2159753231","https://openalex.org/W998272608","https://openalex.org/W294548094","https://openalex.org/W2066625432"],"abstract_inverted_index":{"We":[0,12],"discuss":[1],"a":[2,52,76,83],"framework":[3],"for":[4],"defining":[5],"physical":[6],"open":[7,21,31],"systems":[8],"on":[9,55,82],"higher-dimensional":[10],"complexes.":[11],"start":[13],"with":[14],"the":[15,18,25,29,39,56],"formalization":[16],"of":[17,20,28,79],"dynamics":[19],"electrical":[22],"circuits":[23],"and":[24,48],"Kirchhoff":[26],"behavior":[27],"underlying":[30],"graph":[32,40],"or":[33],"1-complex.":[34],"It":[35],"is":[36,61,73],"discussed":[37],"how":[38,49,63],"can":[41,66],"be":[42,67],"closed":[43],"to":[44,69],"an":[45],"ordinary":[46],"graph,":[47],"this":[50,64],"defines":[51],"Dirac":[53],"structure":[54],"extended":[57,68],"graph.":[58],"Then":[59],"it":[60],"shown":[62],"formalism":[65],"arbitrary":[70],"k-complexes,":[71],"which":[72],"illustrated":[74],"by":[75],"discrete":[77],"formulation":[78],"heat":[80],"transfer":[81],"two-dimensional":[84],"spatial":[85],"domain.":[86]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}