{"id":"https://openalex.org/W2000112830","doi":"https://doi.org/10.1137/070704940","title":"A Hamiltonian Analogue of the Meandering Transition","display_name":"A Hamiltonian Analogue of the Meandering Transition","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2000112830","doi":"https://doi.org/10.1137/070704940","mag":"2000112830"},"language":"en","primary_location":{"id":"doi:10.1137/070704940","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070704940","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5045886787","display_name":"Claudia Wulff","orcid":"https://orcid.org/0000-0002-3069-482X"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Claudia Wulff","raw_affiliation_strings":["Department of Mathematics, University of Surrey Guildford GU2 7XH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Surrey Guildford GU2 7XH, UK","institution_ids":["https://openalex.org/I28290843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045886787"],"corresponding_institution_ids":["https://openalex.org/I28290843"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08907172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"4","first_page":"1213","last_page":"1246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9524000287055969,"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"}},"topics":[{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9524000287055969,"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/physics","display_name":"Physics","score":0.6739789843559265},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6222571134567261},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5882605314254761},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5546348690986633},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"Angular momentum","score":0.4995579719543457},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4706125855445862},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.4681062400341034},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2746385335922241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2669975459575653}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6739789843559265},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6222571134567261},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5882605314254761},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5546348690986633},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.4995579719543457},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4706125855445862},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.4681062400341034},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2746385335922241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2669975459575653},{"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:10.1137/070704940","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070704940","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:alma.44SUR_INST:11139250000002346","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:epubs.surrey.ac.uk:1536","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/1536/1/fulltext.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1451455413","display_name":"Symmetric Hamiltonian systems: Bifurcation theory and numerics","funder_award_id":"EP/D063906/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1619922009","display_name":null,"funder_award_id":"EP/D063906/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W205548392","https://openalex.org/W598987462","https://openalex.org/W1524590822","https://openalex.org/W1555780618","https://openalex.org/W1575757764","https://openalex.org/W1964641156","https://openalex.org/W1967555107","https://openalex.org/W1978221306","https://openalex.org/W1983231861","https://openalex.org/W1993638140","https://openalex.org/W1995694419","https://openalex.org/W2001341130","https://openalex.org/W2015191183","https://openalex.org/W2019841540","https://openalex.org/W2021280511","https://openalex.org/W2023550558","https://openalex.org/W2023969170","https://openalex.org/W2029405105","https://openalex.org/W2043934799","https://openalex.org/W2057743846","https://openalex.org/W2059244117","https://openalex.org/W2060934939","https://openalex.org/W2061574784","https://openalex.org/W2064017684","https://openalex.org/W2086873237","https://openalex.org/W2093226281","https://openalex.org/W2105146991","https://openalex.org/W2124529968","https://openalex.org/W2125929512","https://openalex.org/W2139968887","https://openalex.org/W2146022194","https://openalex.org/W2321185780","https://openalex.org/W2768235497","https://openalex.org/W3098645899","https://openalex.org/W3104867010","https://openalex.org/W4285719527","https://openalex.org/W4313905188","https://openalex.org/W4320522609"],"related_works":["https://openalex.org/W2371200319","https://openalex.org/W2367609594","https://openalex.org/W2350320737","https://openalex.org/W2391455523","https://openalex.org/W2739518152","https://openalex.org/W2091416718","https://openalex.org/W9469511","https://openalex.org/W2015853617","https://openalex.org/W1568871354","https://openalex.org/W2360035557"],"abstract_inverted_index":{"In":[0,32,65],"this":[1,41],"paper":[2],"a":[3,44,48,135],"Hamiltonian":[4,66],"analogue":[5],"of":[6,27,72,81,97,134,143],"the":[7,24,28,76,78,82,94,98,112,119,131,139],"well-known":[8],"meandering":[9],"transition":[10,42],"from":[11],"rotating":[12,16,123],"waves":[13,20,59,104,117],"to":[14,111],"modulated":[15,18,57,102,115],"and":[17,56,85,137],"traveling":[19,58,103,116],"in":[21,37,47,70,75,109],"systems":[22,71],"with":[23,130,138],"Euclidean":[25,140],"symmetry":[26,95,132,141],"plane":[29],"is":[30,43,127],"presented.":[31],"non-Hamiltonian":[33],"systems,":[34,67],"for":[35,68],"example,":[36,69],"spiral":[38],"wave":[39],"dynamics,":[40],"Hopf":[45],"bifurcation":[46,90],"corotating":[49],"frame,":[50],"as":[51,125],"external":[52],"parameters":[53],"are":[54,88,118,146],"varied,":[55],"occur":[60],"only":[61],"at":[62],"certain":[63],"resonances.":[64],"point":[73],"vortices":[74],"plane,":[77],"conserved":[79],"quantities":[80],"system,":[83],"angular":[84],"linear":[86],"momentum,":[87],"natural":[89],"parameters.":[91],"Depending":[92],"on":[93],"properties":[96],"momentum":[99,126],"map,":[100],"either":[101],"do":[105],"not":[106],"occur,":[107],"or,":[108],"contrast":[110],"dissipative":[113],"case,":[114],"typical":[120],"scenario":[121],"near":[122],"waves,":[124],"varied.":[128],"Systems":[129],"group":[133,142],"sphere":[136],"three-dimensional":[144],"space":[145],"also":[147],"treated.":[148]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}