{"id":"https://openalex.org/W3147976867","doi":"https://doi.org/10.1142/s0218127421500644","title":"The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces","display_name":"The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces","publication_year":2021,"publication_date":"2021-03-30","ids":{"openalex":"https://openalex.org/W3147976867","doi":"https://doi.org/10.1142/s0218127421500644","mag":"3147976867"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127421500644","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421500644","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/A5061499930","display_name":"Cate Mandell","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":"Cate Mandell","raw_affiliation_strings":["School of Mathematics, University of Bristol, Bristol BS8 1TW, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, Bristol BS8 1TW, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067867570","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, Bristol BS8 1TW, UK"],"raw_orcid":"https://orcid.org/0000-0002-0780-0911","affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, 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":0.1313,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.42890655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"04","first_page":"2150064","last_page":"2150064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9988999962806702,"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":0.9988999962806702,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9950000047683716,"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/phase-space","display_name":"Phase space","score":0.6634308695793152},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6066363453865051},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.547457218170166},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5372227430343628},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.5236291885375977},{"id":"https://openalex.org/keywords/stable-manifold","display_name":"Stable manifold","score":0.5234572291374207},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5109885931015015},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4833890497684479},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.47046908736228943},{"id":"https://openalex.org/keywords/space-time","display_name":"Space time","score":0.4701656997203827},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4553558826446533},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4467408061027527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43897098302841187},{"id":"https://openalex.org/keywords/time-evolution","display_name":"Time evolution","score":0.41718176007270813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3371807336807251},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22431370615959167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1849537491798401},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.10202199220657349},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08716157078742981}],"concepts":[{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6634308695793152},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6066363453865051},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.547457218170166},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5372227430343628},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.5236291885375977},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.5234572291374207},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5109885931015015},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4833890497684479},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.47046908736228943},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.4701656997203827},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4553558826446533},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4467408061027527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43897098302841187},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.41718176007270813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3371807336807251},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22431370615959167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1849537491798401},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.10202199220657349},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08716157078742981},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127421500644","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421500644","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":[{"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/G8536836296","display_name":null,"funder_award_id":"N00014-01-1-0769","funder_id":"https://openalex.org/F4320337477","funder_display_name":"Naval Nuclear Propulsion Program (Naval Reactors)"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337477","display_name":"Naval Nuclear Propulsion Program (Naval Reactors)","ror":"https://ror.org/03sk1we31"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W16877391","https://openalex.org/W91588129","https://openalex.org/W1579475312","https://openalex.org/W2095539173","https://openalex.org/W2128035454","https://openalex.org/W2133212040","https://openalex.org/W2141557297","https://openalex.org/W2152882962","https://openalex.org/W2153179912","https://openalex.org/W2501995442","https://openalex.org/W2561640657","https://openalex.org/W2591459955","https://openalex.org/W2892522214","https://openalex.org/W3102158510","https://openalex.org/W3102710423","https://openalex.org/W3208715773"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W4240399920","https://openalex.org/W2901108086"],"abstract_inverted_index":{"We":[0],"analyze":[1],"benchmark":[2],"models":[3],"for":[4],"reaction":[5],"dynamics":[6],"associated":[7],"with":[8],"a":[9,22,50,84],"time-dependent":[10,38,44,51,85,97],"saddle":[11],"point.":[12],"Our":[13],"model":[14],"allows":[15],"us":[16],"to":[17,26,73,92],"incorporate":[18],"time":[19,62],"dependence":[20,63],"of":[21,60,64],"general":[23],"form,":[24],"subject":[25],"an":[27],"exponential":[28],"growth":[29],"restriction.":[30],"Under":[31],"these":[32,65],"conditions,":[33],"we":[34,81],"analytically":[35],"compute":[36],"the":[37,56,61,96,103],"normally":[39],"hyperbolic":[40],"invariant":[41],"manifold;":[42],"its":[43],"stable":[45],"and":[46,49,77],"unstable":[47],"manifolds;":[48],"dividing":[52,86,104],"surface":[53,87,105],"that":[54,83],"has":[55],"no-recrossing":[57],"property.":[58],"Consideration":[59],"phase":[66],"space":[67],"structures":[68],"is":[69,88,106],"necessary":[70,89],"in":[71,90,95],"order":[72,91],"precisely":[74],"capture":[75],"reacting":[76],"nonreacting":[78],"trajectories.":[79],"Moreover,":[80],"show":[82],"eliminate":[93],"recrossing":[94,109],"setting.":[98],"In":[99],"other":[100],"words,":[101],"if":[102],"not":[107],"time-dependent,":[108],"may":[110],"occur.":[111]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
