{"id":"https://openalex.org/W4402609130","doi":"https://doi.org/10.1142/s0218127424501682","title":"Nonintegrability of 3 DoF Hamiltonian Resonant Systems","display_name":"Nonintegrability of 3 DoF Hamiltonian Resonant Systems","publication_year":2024,"publication_date":"2024-09-18","ids":{"openalex":"https://openalex.org/W4402609130","doi":"https://doi.org/10.1142/s0218127424501682"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424501682","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218127424501682","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":["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/A5052603280","display_name":"Ferdinand Verhulst","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128315","display_name":"Huizinga Instituut","ror":"https://ror.org/03wyamy27","country_code":"NL","type":"education","lineage":["https://openalex.org/I4210128315"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ferdinand Verhulst","raw_affiliation_strings":["Mathematisch Instituut, P. O. Box 80.010, 508 TA Utrecht, Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, P. O. Box 80.010, 508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I4210128315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110093022","display_name":"Taoufik Bakri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Taoufik Bakri","raw_affiliation_strings":["TNO Sustainable Urban Mobility and Safety, P. O. Box 96800, 2509 JE The Hague, The Netherlands"],"affiliations":[{"raw_affiliation_string":"TNO Sustainable Urban Mobility and Safety, P. O. Box 96800, 2509 JE The Hague, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052603280"],"corresponding_institution_ids":["https://openalex.org/I4210128315"],"apc_list":null,"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.552741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":"13","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9139000177383423,"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":0.9139000177383423,"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/hamiltonian-system","display_name":"Hamiltonian system","score":0.7407049536705017},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5655019283294678},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5078907608985901},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49199554324150085},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.44510433077812195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4016917049884796},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33374133706092834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3101179003715515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.12961870431900024},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07632115483283997}],"concepts":[{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.7407049536705017},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5655019283294678},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5078907608985901},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49199554324150085},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44510433077812195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4016917049884796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33374133706092834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3101179003715515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12961870431900024},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07632115483283997},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127424501682","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218127424501682","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W573539637","https://openalex.org/W1830528808","https://openalex.org/W1979310283","https://openalex.org/W1997147969","https://openalex.org/W1998397519","https://openalex.org/W2013922716","https://openalex.org/W2033089844","https://openalex.org/W2040003162","https://openalex.org/W2047814586","https://openalex.org/W2052456444","https://openalex.org/W2072599568","https://openalex.org/W2086501442","https://openalex.org/W2094085399","https://openalex.org/W2148784356","https://openalex.org/W2153463124","https://openalex.org/W2575543218","https://openalex.org/W3095902484","https://openalex.org/W4205727720","https://openalex.org/W4240145381","https://openalex.org/W4245805757","https://openalex.org/W4293079168","https://openalex.org/W4294315444","https://openalex.org/W4385151347"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"We":[0],"review":[1],"a":[2],"number":[3],"of":[4,9,43,47,110,113,120],"methods":[5],"to":[6],"prove":[7],"nonintegrability":[8,121],"Hamiltonian":[10,30],"systems":[11,18,31],"and":[12,45,54,70,124],"focus":[13],"on":[14],"3":[15],"Degrees-of-Freedom":[16],"(DoF)":[17],"listing":[19],"the":[20,24,29,33,52,61,68,76,95,111,118],"known":[21],"results":[22],"for":[23,60],"prominent":[25],"resonances.":[26],"Associated":[27],"with":[28,39,64],"are":[32],"averaged-normal":[34,77],"forms":[35],"that":[36],"provide":[37],"us":[38],"geometric":[40],"insight,":[41],"approximations":[42],"orbits":[44],"measures":[46],"chaos.":[48],"Symmetries":[49],"do":[50],"change":[51],"qualitative":[53],"quantitative":[55],"pictures;":[56],"we":[57,101],"illustrate":[58],"this":[59,74],"1:2:1":[62],"resonance":[63],"discrete":[65,88],"symmetry":[66,89],"in":[67,90],"1st":[69],"3rd":[71],"DoF.":[72,92],"In":[73],"case,":[75],"form":[78],"is":[79,107],"still":[80],"nonintegrable,":[81],"but":[82],"it":[83],"becomes":[84],"integrable":[85],"when":[86],"adding":[87],"all":[91],"Apart":[93],"from":[94],"short-periodic":[96],"solutions":[97],"obtained":[98],"by":[99],"averaging,":[100],"find":[102],"many":[103],"periodic":[104],"solutions.":[105],"There":[106],"numerical":[108],"evidence":[109],"presence":[112,119],"\u0160ilnikov":[114],"bifurcation":[115],"which":[116],"clarifies":[117],"phenomena":[122],"qualitatively":[123],"quantitatively.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
