{"id":"https://openalex.org/W72490594","doi":"https://doi.org/10.1007/978-3-642-39053-1_2","title":"Computability and Computational Complexity of the Evolution of Nonlinear Dynamical Systems","display_name":"Computability and Computational Complexity of the Evolution of Nonlinear Dynamical Systems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W72490594","doi":"https://doi.org/10.1007/978-3-642-39053-1_2","mag":"72490594"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-39053-1_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5067372819","display_name":"Olivier Bournez","orcid":"https://orcid.org/0000-0002-9218-1130"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Bournez","raw_affiliation_strings":["LIX, Ecole Polytechnique, 91128, Palaiseau Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIX, Ecole Polytechnique, 91128, Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065946481","display_name":"Daniel S. Gra\u00e7a","orcid":"https://orcid.org/0000-0002-0330-833X"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Daniel S. Gra\u00e7a","raw_affiliation_strings":["CEDMES/FCT, Universidade do Algarve, C. Gambelas, 8005-139, Faro, Portugal","SQIG/Instituto de Telecomunica\u00e7\u00f5es, Lisbon, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEDMES/FCT, Universidade do Algarve, C. Gambelas, 8005-139, Faro, Portugal","institution_ids":["https://openalex.org/I71503853"]},{"raw_affiliation_string":"SQIG/Instituto de Telecomunica\u00e7\u00f5es, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072806743","display_name":"Amaury Pouly","orcid":"https://orcid.org/0000-0002-2549-951X"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]}],"countries":["FR","PT"],"is_corresponding":false,"raw_author_name":"Amaury Pouly","raw_affiliation_strings":["CEDMES/FCT, Universidade do Algarve, C. Gambelas, 8005-139, Faro, Portugal","LIX, Ecole Polytechnique, 91128, Palaiseau Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEDMES/FCT, Universidade do Algarve, C. Gambelas, 8005-139, Faro, Portugal","institution_ids":["https://openalex.org/I71503853"]},{"raw_affiliation_string":"LIX, Ecole Polytechnique, 91128, Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022096691","display_name":"Ning Zhong","orcid":"https://orcid.org/0000-0001-7882-8340"},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Zhong","raw_affiliation_strings":["DMS, University of Cincinnati, Cincinnati, OH, 45221-0025, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DMS, University of Cincinnati, Cincinnati, OH, 45221-0025, U.S.A","institution_ids":["https://openalex.org/I63135867"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2255,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76915482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"12","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9854999780654907,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9785000085830688,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.7941157817840576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7874811291694641},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.5657999515533447},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5427650809288025},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5255036354064941},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4914602041244507},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4428280293941498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41694432497024536},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0687667727470398}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.7941157817840576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7874811291694641},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.5657999515533447},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5427650809288025},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5255036354064941},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4914602041244507},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4428280293941498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41694432497024536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0687667727470398},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-39053-1_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.413.4896","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.4896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://sqig.math.ist.utl.pt/pub/GracaDS/13-BGPZ-CiE.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W167107197","https://openalex.org/W177079861","https://openalex.org/W623765668","https://openalex.org/W1484739396","https://openalex.org/W1509579779","https://openalex.org/W1545819195","https://openalex.org/W1558736232","https://openalex.org/W1589421353","https://openalex.org/W1618237215","https://openalex.org/W1667785455","https://openalex.org/W1977106683","https://openalex.org/W1991712029","https://openalex.org/W1991903325","https://openalex.org/W1993678874","https://openalex.org/W1998525082","https://openalex.org/W2006786362","https://openalex.org/W2012261633","https://openalex.org/W2019398782","https://openalex.org/W2028592669","https://openalex.org/W2044413922","https://openalex.org/W2053544268","https://openalex.org/W2061635347","https://openalex.org/W2062427814","https://openalex.org/W2071722168","https://openalex.org/W2074380651","https://openalex.org/W2083461964","https://openalex.org/W2129546971","https://openalex.org/W2141394518","https://openalex.org/W2147781258","https://openalex.org/W2152557104","https://openalex.org/W2161290234","https://openalex.org/W2169964586","https://openalex.org/W2180340173","https://openalex.org/W2488471529","https://openalex.org/W2504834262","https://openalex.org/W2575434776","https://openalex.org/W2732846993","https://openalex.org/W2993547202","https://openalex.org/W3102297092","https://openalex.org/W3141151088","https://openalex.org/W4212928962","https://openalex.org/W4239216443","https://openalex.org/W4242450404","https://openalex.org/W4243563333","https://openalex.org/W4292003697","https://openalex.org/W4292994524","https://openalex.org/W4294554616","https://openalex.org/W6826989096"],"related_works":["https://openalex.org/W1541871911","https://openalex.org/W2058853326","https://openalex.org/W2050258033","https://openalex.org/W3185784018","https://openalex.org/W2184005427","https://openalex.org/W3212383242","https://openalex.org/W2148316232","https://openalex.org/W2056626217","https://openalex.org/W2118381768","https://openalex.org/W2981998189"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}