{"id":"https://openalex.org/W2902323185","doi":"https://doi.org/10.1142/s0218127419500573","title":"Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface","display_name":"Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface","publication_year":2019,"publication_date":"2019-04-01","ids":{"openalex":"https://openalex.org/W2902323185","doi":"https://doi.org/10.1142/s0218127419500573","mag":"2902323185"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419500573","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500573","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/1812.02328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Matthaios Katsanikas","orcid":null},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Matthaios Katsanikas","raw_affiliation_strings":["School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":null,"display_name":"Stephen Wiggins","orcid":"https://orcid.org/0000-0002-0780-0911"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen Wiggins","raw_affiliation_strings":["School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK"],"raw_orcid":"https://orcid.org/0000-0002-0780-0911","affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":null,"apc_paid":null,"fwci":1.665,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.83756688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"29","issue":"04","first_page":"1950057","last_page":"1950057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.833899974822998,"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":0.833899974822998,"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/T10244","display_name":"Chaos control and synchronization","score":0.027799999341368675,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.017000000923871994,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/symmetry","display_name":"Symmetry (geometry)","score":0.6937000155448914},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5947999954223633},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5830000042915344},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5824999809265137},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5318999886512756},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.48170000314712524},{"id":"https://openalex.org/keywords/caldera","display_name":"Caldera","score":0.462799996137619},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.44909998774528503}],"concepts":[{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6937000155448914},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6714000105857849},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5947999954223633},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5830000042915344},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5824999809265137},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5318999886512756},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.48170000314712524},{"id":"https://openalex.org/C49708893","wikidata":"https://www.wikidata.org/wiki/Q159954","display_name":"Caldera","level":3,"score":0.462799996137619},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44909998774528503},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4250999987125397},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41659998893737793},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.37279999256134033},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35280001163482666},{"id":"https://openalex.org/C84551667","wikidata":"https://www.wikidata.org/wiki/Q155640","display_name":"Potential energy","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.3497999906539917},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.31220000982284546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30959999561309814},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.30570000410079956},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2768999934196472},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.2745000123977661},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.25850000977516174}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127419500573","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500573","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:1812.02328","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.02328","pdf_url":"https://arxiv.org/pdf/1812.02328","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:research-information.bris.ac.uk:openaire/3bc96c11-7ef3-47a7-8a32-86b9ade19011","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/3bc96c11-7ef3-47a7-8a32-86b9ade19011","pdf_url":"https://research-information.bris.ac.uk/files/205808044/1812.02328_1_.pdf","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Katsanikas, M & Wiggins, S 2019, 'Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface', International Journal of Bifurcation and Chaos, vol. 29, no. 4, 1950057. https://doi.org/10.1142/S0218127419500573","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.02328","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.02328","pdf_url":"https://arxiv.org/pdf/1812.02328","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":[{"id":"https://openalex.org/G1926648395","display_name":null,"funder_award_id":"EP/P021123/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3666574423","display_name":"Chemistry and Mathematics in Phase Space (CHAMPS)","funder_award_id":"EP/P021123/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5808336041","display_name":null,"funder_award_id":"N00014-01-1-0769","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6826722386","display_name":null,"funder_award_id":"P021123","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7961048076","display_name":null,"funder_award_id":"N00014-01-1-0769","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1979607145","https://openalex.org/W1988457046","https://openalex.org/W2066539787","https://openalex.org/W2092684658","https://openalex.org/W2102728191","https://openalex.org/W2152808586","https://openalex.org/W2892319534","https://openalex.org/W2984256620","https://openalex.org/W4232096979"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,101,115],"paper,":[2],"we":[3,53],"continue":[4],"our":[5],"studies":[6],"of":[7,23,26,43,50,60,77,91,114,120,123],"the":[8,24,29,41,44,58,78,83,89,95,105,112,121,124,129],"two-dimensional":[9],"caldera":[10],"potential":[11],"energy":[12],"surface":[13],"in":[14,100,118],"a":[15,21,47,74],"parametrized":[16],"family":[17],"that":[18,33,71],"allows":[19],"for":[20,88,111,128],"study":[22],"effect":[25,59],"symmetry":[27,61,79],"on":[28,66],"phase":[30,63,84],"space":[31,64,85],"structures":[32,86],"govern":[34],"how":[35],"trajectories":[36],"enter,":[37],"cross,":[38],"and":[39,62,103],"exit":[40],"region":[42,97],"caldera.":[45,106],"As":[46],"particular":[48],"form":[49],"trajectory":[51],"crossing,":[52,92],"are":[54],"able":[55],"to":[56],"determine":[57],"structure":[65],"dynamical":[67],"matching.":[68],"We":[69,107],"show":[70],"there":[72],"is":[73],"critical":[75,116],"value":[76,117],"parameter":[80,127],"which":[81],"controls":[82],"responsible":[87],"manner":[90],"interacting":[93],"with":[94],"central":[96],"(including":[98],"trapping":[99],"region)":[102],"exiting":[104],"provide":[108],"an":[109],"explanation":[110],"existence":[113],"terms":[119],"behavior":[122],"H\u00e9non":[125],"stability":[126],"associated":[130],"periodic":[131],"orbits.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2018-12-11T00:00:00"}