{"id":"https://openalex.org/W1996186996","doi":"https://doi.org/10.1007/s10208-009-9040-x","title":"Period Doubling in the R\u00f6ssler System\u2014A Computer Assisted Proof","display_name":"Period Doubling in the R\u00f6ssler System\u2014A Computer Assisted Proof","publication_year":2009,"publication_date":"2009-04-08","ids":{"openalex":"https://openalex.org/W1996186996","doi":"https://doi.org/10.1007/s10208-009-9040-x","mag":"1996186996"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-009-9040-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9040-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ruj.uj.edu.pl/xmlui/handle/item/86938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003469646","display_name":"Daniel Wilczak","orcid":"https://orcid.org/0000-0002-9934-3809"},"institutions":[{"id":"https://openalex.org/I4210086854","display_name":"National-Louis University","ror":"https://ror.org/003rage82","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210086854"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Daniel Wilczak","raw_affiliation_strings":["Department of Computer Science, Nowy Sa\u0327cz School of Business\u2013National-Louis University, Zielona 27, 33-300, Nowy Sa\u0327cz, Poland","Department of Computer Science, Nowy S\u0105cz School of Business-National-Louis University, Zielona 27, 33-300 Nowy S\u0105cz, Poland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Nowy Sa\u0327cz School of Business\u2013National-Louis University, Zielona 27, 33-300, Nowy Sa\u0327cz, Poland","institution_ids":["https://openalex.org/I4210086854"]},{"raw_affiliation_string":"Department of Computer Science, Nowy S\u0105cz School of Business-National-Louis University, Zielona 27, 33-300 Nowy S\u0105cz, Poland#TAB#","institution_ids":["https://openalex.org/I4210086854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085109355","display_name":"Piotr Zgliczy\u0144ski","orcid":"https://orcid.org/0000-0002-4852-0887"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Zgliczy\u0144ski","raw_affiliation_strings":["Institute of Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","Jagiellonian University, Institute of Computer Science, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Jagiellonian University, Institute of Computer Science, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland#TAB#","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003469646"],"corresponding_institution_ids":["https://openalex.org/I4210086854"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0882,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.78538122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"5","first_page":"611","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9966999888420105,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9641000032424927,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.7682944536209106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6211545467376709},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5231460332870483},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5224224925041199},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.5047861337661743},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4594673812389374},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.4317077398300171},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3507661819458008},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21026432514190674},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12376883625984192},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07816103100776672}],"concepts":[{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.7682944536209106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6211545467376709},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5231460332870483},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5224224925041199},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.5047861337661743},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4594673812389374},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.4317077398300171},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3507661819458008},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21026432514190674},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12376883625984192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07816103100776672},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10208-009-9040-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9040-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/86938","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/86938","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.331.8096","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.331.8096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uj.edu.pl/~zgliczyn/papers/bif/perdoubl.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.332.4455","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.4455","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uj.edu.pl/~wilczak/papers/perdoubl/perdoubl.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/86938","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/86938","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W580757810","https://openalex.org/W1483874187","https://openalex.org/W1510189420","https://openalex.org/W1514578360","https://openalex.org/W1514801494","https://openalex.org/W1515827155","https://openalex.org/W1532036648","https://openalex.org/W1561040351","https://openalex.org/W1596321532","https://openalex.org/W1603340857","https://openalex.org/W1967008192","https://openalex.org/W1984029601","https://openalex.org/W2003890998","https://openalex.org/W2045720672","https://openalex.org/W2047648477","https://openalex.org/W2078377537","https://openalex.org/W2082172869","https://openalex.org/W2083115202","https://openalex.org/W2095039299","https://openalex.org/W2170105115","https://openalex.org/W2182274314","https://openalex.org/W2206545234","https://openalex.org/W2909610942","https://openalex.org/W3182252275","https://openalex.org/W4291439952","https://openalex.org/W6637753654","https://openalex.org/W6660130656"],"related_works":["https://openalex.org/W2313198288","https://openalex.org/W2391540797","https://openalex.org/W2005355485","https://openalex.org/W2014696479","https://openalex.org/W2060450020","https://openalex.org/W168375694","https://openalex.org/W1570727143","https://openalex.org/W4321135758","https://openalex.org/W2703435152","https://openalex.org/W2031978906"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}
