{"id":"https://openalex.org/W22096500","doi":"https://doi.org/10.3217/jucs-004-02-0114","title":"Rigorous Numerical Studies of the Existence of Periodic Orbits for the H\u00e9non Map","display_name":"Rigorous Numerical Studies of the Existence of Periodic Orbits for the H\u00e9non Map","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W22096500","doi":"https://doi.org/10.3217/jucs-004-02-0114","mag":"22096500"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:6995510","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995510","pdf_url":"https://zenodo.org/record/6995510","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 4((2)) 114-124","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/6995510","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037161015","display_name":"Zbigniew Galias","orcid":"https://orcid.org/0000-0001-7253-7075"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zbigniew Galias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037161015"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"114","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9753999710083008,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9753999710083008,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9301999807357788,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10325","display_name":"Astro and Planetary Science","score":0.9004999995231628,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/computer-science","display_name":"Computer science","score":0.8178884983062744},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.6756870746612549},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35052430629730225},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.1646413803100586},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14607545733451843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11132439970970154}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8178884983062744},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.6756870746612549},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35052430629730225},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1646413803100586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14607545733451843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11132439970970154}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:zenodo.org:6995510","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995510","pdf_url":"https://zenodo.org/record/6995510","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 4((2)) 114-124","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.430.958","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.430.958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_4_2/rigorous_numerical_studies_of/Galias_Z.pdf","raw_type":"text"},{"id":"doi:10.3217/jucs-004-02-0114","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-004-02-0114","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"DataPaper"},{"id":"mag:22096500","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/jucs/jucs4.html#Galias97","pdf_url":null,"source":{"id":"https://openalex.org/S58563349","display_name":"JUCS - Journal of Universal Computer Science","issn_l":"0948-695X","issn":["0948-695X","0948-6968"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317875","host_organization_name":"Verlag der Technischen Universit\u00e4t Graz","host_organization_lineage":["https://openalex.org/P4310317875"],"host_organization_lineage_names":["Verlag der Technischen Universit\u00e4t Graz"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"JUCS - Journal of Universal Computer Science","raw_type":null}],"best_oa_location":{"id":"pmh:oai:zenodo.org:6995510","is_oa":true,"landing_page_url":"https://zenodo.org/record/6995510","pdf_url":"https://zenodo.org/record/6995510","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 4((2)) 114-124","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W22096500.pdf"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2282755403"],"related_works":["https://openalex.org/W286163641","https://openalex.org/W3087889214","https://openalex.org/W2293397852","https://openalex.org/W2125566231","https://openalex.org/W1483874187","https://openalex.org/W1991178818","https://openalex.org/W3093453636","https://openalex.org/W2996757088","https://openalex.org/W2022938336","https://openalex.org/W2082172869","https://openalex.org/W2035660588","https://openalex.org/W1981858632","https://openalex.org/W2994456127","https://openalex.org/W2365975529","https://openalex.org/W1990050876","https://openalex.org/W2328980022","https://openalex.org/W2002673057","https://openalex.org/W2343627097","https://openalex.org/W2013087748","https://openalex.org/W1996419866"],"abstract_inverted_index":{"Abstract:":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"perform":[5],"a":[6],"rigorous":[7],"study":[8],"of":[9,20,32,35],"the":[10,18,30],"Henon":[11],"map.":[12],"We":[13],"prove":[14],"with":[15],"computer":[16,45],"assistance":[17],"existence":[19,31],"symbolic":[21],"dynamics":[22],"for":[23],"h":[24,27],"2":[25],"and":[26,29,40],"7":[28],"periodic":[33],"orbits":[34],"all":[36],"periods":[37],"but":[38],"3":[39],"5.":[41],"Key":[42],"Words:":[43],"chaos,":[44],"assisted":[46],"proof,":[47],"interval":[48],"arithmetic.":[49],"1":[50]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-08T07:41:36.138363","created_date":"2016-06-24T00:00:00"}
