{"id":"https://openalex.org/W172235208","doi":"https://doi.org/10.1007/s10485-015-9409-8","title":"Dynamical Systems in Categories","display_name":"Dynamical Systems in Categories","publication_year":2015,"publication_date":"2015-09-24","ids":{"openalex":"https://openalex.org/W172235208","doi":"https://doi.org/10.1007/s10485-015-9409-8","mag":"172235208"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-015-9409-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-015-9409-8","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://tud.qucosa.de/id/qucosa%3A27340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090451614","display_name":"Mike Behrisch","orcid":"https://orcid.org/0000-0003-0050-8085"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT","DE"],"is_corresponding":true,"raw_author_name":"Mike Behrisch","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany","Institut f\u00fcr Computersprachen, Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Computersprachen, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024997091","display_name":"Sebastian Kerkhoff","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Kerkhoff","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023133733","display_name":"Reinhard P\u00f6schel","orcid":"https://orcid.org/0000-0003-3369-2050"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Reinhard P\u00f6schel","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036511181","display_name":"Friedrich Martin Schneider","orcid":"https://orcid.org/0000-0002-4126-2758"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Friedrich Martin Schneider","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075140537","display_name":"Stefan Siegmund","orcid":"https://orcid.org/0000-0003-0967-6747"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Siegmund","raw_affiliation_strings":["Institut f\u00fcr Analysis, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","Institut f\u00fcr Analysis Technische Universit\u00e4t Dresden Dresden Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis, Technische Universit\u00e4t Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Analysis Technische Universit\u00e4t Dresden Dresden Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5090451614"],"corresponding_institution_ids":["https://openalex.org/I145847075","https://openalex.org/I78650965"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5267,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77243471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"1","first_page":"29","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9900000095367432,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9900000095367432,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9883000254631042,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.785490870475769},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7608950138092041},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7469499111175537},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5682277083396912},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.5549286603927612},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.524688184261322},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4691399931907654},{"id":"https://openalex.org/keywords/adjunction","display_name":"Adjunction","score":0.4483835697174072},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.42647555470466614},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33187466859817505},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10912606120109558},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08109426498413086}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.785490870475769},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7608950138092041},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7469499111175537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5682277083396912},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.5549286603927612},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.524688184261322},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4691399931907654},{"id":"https://openalex.org/C2780580338","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Adjunction","level":2,"score":0.4483835697174072},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.42647555470466614},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33187466859817505},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10912606120109558},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08109426498413086},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-015-9409-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-015-9409-8","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:qucosa:de:qucosa:27340","is_oa":true,"landing_page_url":"http://tud.qucosa.de/id/qucosa%3A27340","pdf_url":null,"source":{"id":"https://openalex.org/S4377196312","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https://openalex.org/I3132420320"],"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":null,"raw_type":"doc-type:Text"}],"best_oa_location":{"id":"pmh:oai:qucosa:de:qucosa:27340","is_oa":true,"landing_page_url":"http://tud.qucosa.de/id/qucosa%3A27340","pdf_url":null,"source":{"id":"https://openalex.org/S4377196312","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https://openalex.org/I3132420320"],"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":null,"raw_type":"doc-type:Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W137331784","https://openalex.org/W403745959","https://openalex.org/W574421974","https://openalex.org/W587223573","https://openalex.org/W1527324030","https://openalex.org/W1534787852","https://openalex.org/W1570445666","https://openalex.org/W1587663028","https://openalex.org/W1643571618","https://openalex.org/W1802196594","https://openalex.org/W1887472714","https://openalex.org/W1964337759","https://openalex.org/W1965514364","https://openalex.org/W1977601940","https://openalex.org/W1988889077","https://openalex.org/W1988926767","https://openalex.org/W1990183105","https://openalex.org/W1999923795","https://openalex.org/W2002865886","https://openalex.org/W2011033500","https://openalex.org/W2012140001","https://openalex.org/W2029869952","https://openalex.org/W2033037381","https://openalex.org/W2034269996","https://openalex.org/W2040247099","https://openalex.org/W2054801208","https://openalex.org/W2061970672","https://openalex.org/W2064470633","https://openalex.org/W2079411541","https://openalex.org/W2080543706","https://openalex.org/W2088189323","https://openalex.org/W2116250539","https://openalex.org/W2120713972","https://openalex.org/W2162583406","https://openalex.org/W2317734304","https://openalex.org/W2395891450","https://openalex.org/W2509841691","https://openalex.org/W2574755693","https://openalex.org/W2607230115","https://openalex.org/W2610994252","https://openalex.org/W2798579874","https://openalex.org/W3144889436","https://openalex.org/W3203406682","https://openalex.org/W4212920330","https://openalex.org/W4213338330","https://openalex.org/W4230761175","https://openalex.org/W4249992601","https://openalex.org/W4253685687","https://openalex.org/W4292366057","https://openalex.org/W4310300362","https://openalex.org/W4366957006"],"related_works":["https://openalex.org/W4241308050","https://openalex.org/W1998351225","https://openalex.org/W2607447506","https://openalex.org/W4297629964","https://openalex.org/W3106972388","https://openalex.org/W4306295040","https://openalex.org/W2070140077","https://openalex.org/W2091669596","https://openalex.org/W4388499860","https://openalex.org/W2058370269"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}