{"id":"https://openalex.org/W4390449825","doi":"https://doi.org/10.1142/s0218127423501912","title":"Ultra-Chaos in the Motion of Walking Droplet","display_name":"Ultra-Chaos in the Motion of Walking Droplet","publication_year":2023,"publication_date":"2023-12-30","ids":{"openalex":"https://openalex.org/W4390449825","doi":"https://doi.org/10.1142/s0218127423501912"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127423501912","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501912","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/A5025770046","display_name":"Yang Yu","orcid":"https://orcid.org/0000-0003-2125-3229"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Yang","raw_affiliation_strings":["School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101719496","display_name":"Shijie Qin","orcid":"https://orcid.org/0000-0002-0809-1766"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shijie Qin","raw_affiliation_strings":["School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108063755","display_name":"Shijun Liao","orcid":"https://orcid.org/0000-0002-2372-9502"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4391767790","display_name":"State Key Laboratory of Ocean Engineering","ror":"https://ror.org/01m3vks35","country_code":null,"type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I4391767790"]},{"id":"https://openalex.org/I44675526","display_name":"Shanghai Ocean University","ror":"https://ror.org/04n40zv07","country_code":"CN","type":"education","lineage":["https://openalex.org/I44675526"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shijun Liao","raw_affiliation_strings":["School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","State Key Laboratory of Ocean Engineering, Shanghai 200240, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2372-9502","affiliations":[{"raw_affiliation_string":"School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"State Key Laboratory of Ocean Engineering, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I4391767790","https://openalex.org/I44675526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108063755"],"corresponding_institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4391767790","https://openalex.org/I44675526"],"apc_list":null,"apc_paid":null,"fwci":0.2583,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50044131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"33","issue":"16","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9794999957084656,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9794999957084656,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9761999845504761,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9749000072479248,"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/chaotic","display_name":"Chaotic","score":0.8415780067443848},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6368609666824341},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.633354663848877},{"id":"https://openalex.org/keywords/butterfly-effect","display_name":"Butterfly effect","score":0.5999047756195068},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5563364624977112},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.5189587473869324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4842495620250702},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.46010175347328186},{"id":"https://openalex.org/keywords/chaos-theory","display_name":"Chaos theory","score":0.4344334006309509},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4239403009414673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40906864404678345},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.26842761039733887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1977456510066986}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8415780067443848},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6368609666824341},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.633354663848877},{"id":"https://openalex.org/C118979974","wikidata":"https://www.wikidata.org/wiki/Q187536","display_name":"Butterfly effect","level":3,"score":0.5999047756195068},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5563364624977112},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.5189587473869324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4842495620250702},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.46010175347328186},{"id":"https://openalex.org/C92866567","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaos theory","level":3,"score":0.4344334006309509},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4239403009414673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40906864404678345},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.26842761039733887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1977456510066986},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"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/s0218127423501912","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501912","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/G4406484620","display_name":null,"funder_award_id":"12272230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1964873435","https://openalex.org/W1965573496","https://openalex.org/W1979832578","https://openalex.org/W1981741274","https://openalex.org/W1981779475","https://openalex.org/W1988480435","https://openalex.org/W1996473620","https://openalex.org/W1996802106","https://openalex.org/W2012486641","https://openalex.org/W2013056368","https://openalex.org/W2017647225","https://openalex.org/W2027780791","https://openalex.org/W2031363535","https://openalex.org/W2040483242","https://openalex.org/W2060083063","https://openalex.org/W2066027433","https://openalex.org/W2069436097","https://openalex.org/W2074853595","https://openalex.org/W2115714128","https://openalex.org/W2115780805","https://openalex.org/W2134100806","https://openalex.org/W2141394518","https://openalex.org/W2141680181","https://openalex.org/W2148703359","https://openalex.org/W2152254020","https://openalex.org/W2219165686","https://openalex.org/W2321564866","https://openalex.org/W2327931529","https://openalex.org/W2773186521","https://openalex.org/W2887238206","https://openalex.org/W2891105665","https://openalex.org/W2891226744","https://openalex.org/W2892909014","https://openalex.org/W2952694771","https://openalex.org/W2968643929","https://openalex.org/W2980927258","https://openalex.org/W2981620309","https://openalex.org/W3003257820","https://openalex.org/W3011468091","https://openalex.org/W3016965552","https://openalex.org/W3031136498","https://openalex.org/W3042147710","https://openalex.org/W3048449973","https://openalex.org/W3092911087","https://openalex.org/W3093365689","https://openalex.org/W3101139499","https://openalex.org/W3105663359","https://openalex.org/W3117293991","https://openalex.org/W3132363523","https://openalex.org/W3139076863","https://openalex.org/W3165248991","https://openalex.org/W3188919106","https://openalex.org/W3206374383","https://openalex.org/W4214580360","https://openalex.org/W4234284487","https://openalex.org/W4280629228","https://openalex.org/W4294243779","https://openalex.org/W4312197529","https://openalex.org/W4320913548","https://openalex.org/W4361244584","https://openalex.org/W4376863753","https://openalex.org/W4385858614","https://openalex.org/W4386523742"],"related_works":["https://openalex.org/W1581278046","https://openalex.org/W2052017700","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2371341827","https://openalex.org/W2347964653","https://openalex.org/W2390824390","https://openalex.org/W2167530057","https://openalex.org/W2365276084","https://openalex.org/W2134895022"],"abstract_inverted_index":{"A":[0],"liquid":[1],"bath":[2],"vibrating":[3],"vertically":[4],"can":[5,20,165],"lead":[6],"to":[7,35,49,76,80,138,180,195],"the":[8,41,93,99,116,119,124,128,132,208,222],"emergence":[9],"of":[10,29,54,85,95,101,118,131,178,199,210,218,224],"a":[11,30,60,82,153,162,175,215],"self-propelled":[12],"walking":[13,102,120],"droplet":[14,103],"on":[15,98],"its":[16,36,44,200],"free":[17],"surface,":[18],"which":[19],"exhibit":[21],"chaotic":[22,31,182],"motion.":[23],"It":[24,106,184],"is":[25,56,104,107,193,214],"well-known":[26],"that":[27,109,146],"trajectories":[28],"system":[32],"are":[33,71,136],"sensitive":[34,75,137],"initial":[37],"condition,":[38],"known":[39],"as":[40,161],"\u201cbutterfly-effect\u201d,":[42],"while":[43],"statistics":[45],"normally":[46],"remain":[47],"stable":[48],"small":[50,77],"disturbances:":[51],"this":[52,91,142],"type":[53],"chaos":[55,170],"called":[57,62],"\u201cnormal-chaos\u201d.":[58],"However,":[59],"concept":[61,164],"\u201cultra-chaos\u201d":[63],"has":[64],"been":[65,88],"recently":[66],"introduced,":[67],"whose":[68],"statistical":[69,129],"features":[70],"unstable,":[72],"i.e.":[73],"extremely":[74],"disturbances.":[78,140],"Up":[79],"now,":[81],"few":[83],"examples":[84],"ultra-chaos":[86,113,147,160],"have":[87],"reported.":[89],"In":[90],"paper,":[92],"influence":[94],"tiny":[96,139],"disturbances":[97],"motion":[100,117,135],"investigated.":[105],"found":[108],"both":[110],"normal-chaos":[111],"and":[112,151,171],"exist":[114],"in":[115,207],"droplet.":[121],"Different":[122],"from":[123],"normal-chaotic":[125],"motion,":[126],"even":[127,206],"properties":[130],"droplet\u2019s":[133],"ultra-chaotic":[134,233],"Therefore,":[141],"illustrates":[143],"once":[144],"again":[145],"indeed":[148],"exists":[149],"widely":[150],"represents":[152],"higher":[154],"disorder":[155],"compared":[156],"with":[157,174],"normal-chaos.":[158],"The":[159],"new":[163,176],"widen":[166],"our":[167],"knowledge":[168],"about":[169],"provide":[172],"us":[173],"point":[177],"view":[179],"study":[181],"properties.":[183],"should":[185],"be":[186,229],"emphasized":[187],"that,":[188],"for":[189,231],"an":[190,232],"ultra-chaos,":[191],"it":[192],"impossible":[194],"repeat":[196],"any":[197],"results":[198],"physical":[201],"experiments":[202],"or":[203],"numerical":[204],"simulations":[205],"meaning":[209],"statistics!":[211],"Unfortunately,":[212],"reproducibility":[213],"corner":[216],"stone":[217],"modern":[219,225],"science.":[220],"Thus,":[221],"paradigm":[223],"scientific":[226],"research":[227],"might":[228],"invalid":[230],"system.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}