{"id":"https://openalex.org/W2188023058","doi":"https://doi.org/10.1142/s0218127416300111","title":"Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance","display_name":"Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance","publication_year":2016,"publication_date":"2016-04-01","ids":{"openalex":"https://openalex.org/W2188023058","doi":"https://doi.org/10.1142/s0218127416300111","mag":"2188023058"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416300111","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416300111","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1512.00707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042872571","display_name":"Antonella Marchesiello","orcid":"https://orcid.org/0000-0002-1134-7478"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Antonella Marchesiello","raw_affiliation_strings":["Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, D\u011b\u010d\u00edn Branch, Pohranicn\u00ed 1, 40501 D\u011b\u010d\u00edn, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, D\u011b\u010d\u00edn Branch, Pohranicn\u00ed 1, 40501 D\u011b\u010d\u00edn, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054643553","display_name":"Giuseppe Pucacco","orcid":"https://orcid.org/0000-0002-5177-0115"},"institutions":[{"id":"https://openalex.org/I4210113126","display_name":"Istituto Nazionale di Fisica Nucleare, Roma Tor Vergata","ror":"https://ror.org/025rrx658","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210113126"]},{"id":"https://openalex.org/I4210157426","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Roma I","ror":"https://ror.org/05eva6s33","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210157426"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Pucacco","raw_affiliation_strings":["Dipartimento di Fisica and INFN \u2013 Sezione di Roma II, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Via della Ricerca Scientifica, 1 - 00133 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica and INFN \u2013 Sezione di Roma II, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Via della Ricerca Scientifica, 1 - 00133 Rome, Italy","institution_ids":["https://openalex.org/I4210157426","https://openalex.org/I4210113126"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5479,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82844301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"26","issue":"04","first_page":"1630011","last_page":"1630011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9994000196456909,"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":0.9994000196456909,"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/T10325","display_name":"Astro and Planetary Science","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10477","display_name":"Astrophysics and Star Formation Studies","score":0.9936000108718872,"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/phase-space","display_name":"Phase space","score":0.6606377959251404},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.645180344581604},{"id":"https://openalex.org/keywords/singularity-theory","display_name":"Singularity theory","score":0.6416096687316895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5893270373344421},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5836986303329468},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5701009035110474},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5497348308563232},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.4858055114746094},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38847142457962036},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3869152367115021},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36740750074386597},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35266149044036865},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16631555557250977}],"concepts":[{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6606377959251404},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.645180344581604},{"id":"https://openalex.org/C207769094","wikidata":"https://www.wikidata.org/wiki/Q4245771","display_name":"Singularity theory","level":3,"score":0.6416096687316895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5893270373344421},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5836986303329468},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5701009035110474},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5497348308563232},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.4858055114746094},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38847142457962036},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3869152367115021},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36740750074386597},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35266149044036865},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16631555557250977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127416300111","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416300111","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1512.00707","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.00707","pdf_url":"https://arxiv.org/pdf/1512.00707","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:art.torvergata.it:2108/167855","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/167855","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1512.00707","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.00707","pdf_url":"https://arxiv.org/pdf/1512.00707","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":78,"referenced_works":["https://openalex.org/W13190611","https://openalex.org/W45057446","https://openalex.org/W55379121","https://openalex.org/W619472078","https://openalex.org/W1481616730","https://openalex.org/W1538262476","https://openalex.org/W1591675904","https://openalex.org/W1594329973","https://openalex.org/W1643002465","https://openalex.org/W1652519183","https://openalex.org/W1674591135","https://openalex.org/W1965778005","https://openalex.org/W1978900512","https://openalex.org/W1979310283","https://openalex.org/W1990236841","https://openalex.org/W1990477359","https://openalex.org/W1991481786","https://openalex.org/W1993216286","https://openalex.org/W1994006347","https://openalex.org/W1999848678","https://openalex.org/W2001174079","https://openalex.org/W2008939362","https://openalex.org/W2013946715","https://openalex.org/W2016736792","https://openalex.org/W2017890858","https://openalex.org/W2020760401","https://openalex.org/W2021141239","https://openalex.org/W2028395572","https://openalex.org/W2042301878","https://openalex.org/W2046826540","https://openalex.org/W2049643709","https://openalex.org/W2052032679","https://openalex.org/W2058961155","https://openalex.org/W2059486162","https://openalex.org/W2067252657","https://openalex.org/W2072599568","https://openalex.org/W2076233615","https://openalex.org/W2077543899","https://openalex.org/W2083203070","https://openalex.org/W2087723889","https://openalex.org/W2091074261","https://openalex.org/W2091802950","https://openalex.org/W2092816024","https://openalex.org/W2094303758","https://openalex.org/W2105311021","https://openalex.org/W2105684070","https://openalex.org/W2107353660","https://openalex.org/W2111724770","https://openalex.org/W2119018326","https://openalex.org/W2126479355","https://openalex.org/W2140713877","https://openalex.org/W2141393811","https://openalex.org/W2148772561","https://openalex.org/W2153858823","https://openalex.org/W2154060429","https://openalex.org/W2155120345","https://openalex.org/W2194822145","https://openalex.org/W2207859951","https://openalex.org/W2318135321","https://openalex.org/W2911462004","https://openalex.org/W2984256620","https://openalex.org/W3041070869","https://openalex.org/W3041163612","https://openalex.org/W3099393097","https://openalex.org/W3100496310","https://openalex.org/W3101139920","https://openalex.org/W3101222194","https://openalex.org/W3104368892","https://openalex.org/W3105870668","https://openalex.org/W4205471545","https://openalex.org/W4213023281","https://openalex.org/W4213213245","https://openalex.org/W4229862659","https://openalex.org/W4237893417","https://openalex.org/W4252240796","https://openalex.org/W4252872024","https://openalex.org/W4296477255","https://openalex.org/W4298215433"],"related_works":["https://openalex.org/W2063152211","https://openalex.org/W1575610114","https://openalex.org/W2007013798","https://openalex.org/W3105747609","https://openalex.org/W2382689387","https://openalex.org/W573954127","https://openalex.org/W2010869022","https://openalex.org/W1996644739","https://openalex.org/W2060497234","https://openalex.org/W4231686530"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,16,67,81,114],"general":[3,13,68],"review":[4],"of":[5,9,15,18,37,70,74,87,108,111],"the":[6,47,50,61,71,75,85,92,105,112],"bifurcation":[7],"sequences":[8],"periodic":[10],"orbits":[11],"in":[12,84],"position":[14],"family":[17,76],"resonant":[19],"Hamiltonian":[20],"normal":[21],"forms":[22],"with":[23,43,49,91],"nearly":[24],"equal":[25],"unperturbed":[26],"frequencies,":[27],"invariant":[28],"under":[29],"[Formula:":[30],"see":[31],"text]":[32],"symmetry.":[33],"The":[34,57],"rich":[35],"structure":[36,107],"these":[38],"classical":[39],"systems":[40],"is":[41,54,60,78,96],"investigated":[42],"geometric":[44,58],"methods":[45],"and":[46,122],"relation":[48],"singularity":[51],"theory":[52],"approach":[53,59],"also":[55],"highlighted.":[56],"most":[62],"straightforward":[63],"way":[64],"to":[65,99],"obtain":[66],"picture":[69],"phase-space":[72,106],"dynamics":[73],"as":[77,136],"defined":[79],"by":[80],"complete":[82],"subset":[83],"space":[86],"control":[88],"parameters":[89],"complying":[90],"symmetry":[93],"constraint.":[94],"It":[95],"shown":[97],"how":[98],"find":[100],"an":[101],"energy-momentum":[102],"map":[103,116],"describing":[104],"each":[109],"member":[110],"family,":[113],"catastrophe":[115],"that":[117],"captures":[118],"its":[119],"global":[120],"features":[121],"formal":[123],"expressions":[124],"for":[125],"action-angle":[126],"variables.":[127],"Several":[128],"examples,":[129],"mainly":[130],"taken":[131],"from":[132],"astrodynamics,":[133],"are":[134],"used":[135],"applications.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}