{"id":"https://openalex.org/W1971744247","doi":"https://doi.org/10.1137/030601351","title":"Tippe Top Inversion as a Dissipation-Induced Instability","display_name":"Tippe Top Inversion as a Dissipation-Induced Instability","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1971744247","doi":"https://doi.org/10.1137/030601351","mag":"1971744247"},"language":"en","primary_location":{"id":"doi:10.1137/030601351","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601351","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/A5073586257","display_name":"Nawaf Bou\u2010Rabee","orcid":"https://orcid.org/0000-0001-9280-9808"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nawaf M. Bou-Rabee","raw_affiliation_strings":["California  Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110208781","display_name":"Jerrold E. Marsden","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerrold E. Marsden","raw_affiliation_strings":["California  Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109530391","display_name":"Louis A. Romero","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Louis A. Romero","raw_affiliation_strings":["Sandia National Lab"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Lab","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9595,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.93613154,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"3","issue":"3","first_page":"352","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9987000226974487,"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":0.9987000226974487,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7068502902984619},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.6429061889648438},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5822955369949341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5734778046607971},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5563272833824158},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"Spectral analysis","score":0.4654539227485657},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.4632381796836853},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.45306381583213806},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40212976932525635},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3985045254230499},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3938944637775421},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31743741035461426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11229825019836426},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11099222302436829}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7068502902984619},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.6429061889648438},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5822955369949341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5734778046607971},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5563272833824158},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.4654539227485657},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.4632381796836853},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45306381583213806},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40212976932525635},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3985045254230499},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3938944637775421},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31743741035461426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11229825019836426},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11099222302436829},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/030601351","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601351","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:authors.library.caltech.edu:1384","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:BOUsiamjads04","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.164","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cds.caltech.edu/~marsden/bib/2004/04-BoMaRo2004/BoMaRo2004_tippe.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.581.9657","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.581.9657","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://authors.library.caltech.edu/1384/1/BOUsiamjads04.pdf","raw_type":"text"},{"id":"pmh:oai:alma.01RUT_INST:11665021310004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Tippe-Top-Inversion-as-a-Dissipation-Induced/991031665843104646","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1314282440","display_name":null,"funder_award_id":"DE-FG02-97ER25308","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3017597143","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G4879360136","display_name":null,"funder_award_id":"FG02-97ER25308","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6485281451","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7039840861","display_name":null,"funder_award_id":"DE-FG02-97ER25308","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7186324567","display_name":null,"funder_award_id":"DE-FG02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7318852158","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G8456466421","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8684078510","display_name":null,"funder_award_id":"DE-FG02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1510287214","https://openalex.org/W1524590822","https://openalex.org/W1964643340","https://openalex.org/W1967656685","https://openalex.org/W2010030514","https://openalex.org/W2048265208","https://openalex.org/W2064297750","https://openalex.org/W2068556779","https://openalex.org/W2128978199","https://openalex.org/W2144044560","https://openalex.org/W2171658097","https://openalex.org/W2598003345","https://openalex.org/W3122800288"],"related_works":["https://openalex.org/W2347486132","https://openalex.org/W2316789606","https://openalex.org/W587735977","https://openalex.org/W2350340797","https://openalex.org/W4293224283","https://openalex.org/W2950501077","https://openalex.org/W2368601041","https://openalex.org/W2079984045","https://openalex.org/W3021211531","https://openalex.org/W1976659209"],"abstract_inverted_index":{"By":[0],"treating":[1],"tippe":[2,11,67,118,165],"top":[3,12,68],"inversion":[4,13],"as":[5],"a":[6,15,107,126],"dissipation-induced":[7],"instability,":[8],"we":[9,17,148],"explain":[10],"through":[14],"system":[16],"call":[18],"the":[19,48,54,60,66,71,76,87,104,111,117,123,134,140,146,150,160,164],"modified":[20,72],"Maxwell--Bloch":[21,73],"equations.":[22],"We":[23,82],"revisit":[24],"previous":[25],"work":[26,147],"done":[27],"on":[28,98],"this":[29],"problem":[30],"and":[31,62,69,113,142,155],"follow":[32],"Or's":[33],"mathematical":[34],"model":[35],"[SIAM":[36],"J.":[37],"Appl.":[38],"Math.,":[39],"54":[40],"(1994),":[41],"pp.":[42],"597--609].":[43],"A":[44,93],"linear":[45],"analysis":[46,96,151],"of":[47,50,65,79,90,106,116,125,139,163],"equations":[49,74],"motion":[51],"reveals":[52],"that":[53,70],"only":[55],"equilibrium":[56],"points":[57],"correspond":[58],"to":[59,131,158],"inverted":[61,114,141],"noninverted":[63,112,143],"states":[64,115],"describe":[75],"linear/spectral":[77],"stability":[78,89,138],"these":[80,91],"equilibria.":[81],"supply":[83],"explicit":[84,101],"criteria":[85,102,121,135],"for":[86,103,122,136],"spectral":[88,137],"states.":[92,144],"nonlinear":[94,161],"global":[95],"based":[97],"energetics":[99],"yields":[100],"existence":[105,124],"heteroclinic":[108,127],"connection":[109,128],"between":[110],"top.":[119,166],"This":[120],"turns":[129],"out":[130],"agree":[132],"with":[133,152],"Throughout":[145],"support":[149],"numerical":[153],"evidence":[154],"include":[156],"simulations":[157],"illustrate":[159],"dynamics":[162]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}