{"id":"https://openalex.org/W2219165686","doi":"https://doi.org/10.1142/s0218127415300232","title":"On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems","display_name":"On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2219165686","doi":"https://doi.org/10.1142/s0218127415300232","mag":"2219165686"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415300232","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300232","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/1407.4019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Shijun Liao","orcid":null},"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/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"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","SA"],"is_corresponding":false,"raw_author_name":"Shijun Liao","raw_affiliation_strings":["Ministry-of-Education Key Laboratory in Scientific Computing, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","Nonlinear Analysis and Applied Mathematics, Research Group (NAAM), King Abdulaziz University (KAU), Jeddah, Saudi Arabia","State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ministry-of-Education Key Laboratory in Scientific Computing, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics, Research Group (NAAM), King Abdulaziz University (KAU), Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I44675526"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xiaoming Li","orcid":null},"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/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":false,"raw_author_name":"Xiaoming Li","raw_affiliation_strings":["State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I44675526"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2872,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80220219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"09","first_page":"1530023","last_page":"1530023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.3901999890804291,"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":0.3901999890804291,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.10270000249147415,"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"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.06369999796152115,"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/randomness","display_name":"Randomness","score":0.9660000205039978},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7700999975204468},{"id":"https://openalex.org/keywords/deterministic-system","display_name":"Deterministic system (philosophy)","score":0.6417999863624573},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.5781000256538391},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4893999993801117},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.4666000008583069},{"id":"https://openalex.org/keywords/chaotic-hysteresis","display_name":"Chaotic hysteresis","score":0.3750999867916107}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.9660000205039978},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7700999975204468},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7523999810218811},{"id":"https://openalex.org/C116930293","wikidata":"https://www.wikidata.org/wiki/Q5265717","display_name":"Deterministic system (philosophy)","level":2,"score":0.6417999863624573},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.5781000256538391},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4893999993801117},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4666000008583069},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.423799991607666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39890000224113464},{"id":"https://openalex.org/C207219937","wikidata":"https://www.wikidata.org/wiki/Q5072841","display_name":"Chaotic hysteresis","level":5,"score":0.3750999867916107},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.3560999929904938},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3280999958515167},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.3149999976158142},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2711000144481659},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2628999948501587},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26179999113082886},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.25949999690055847}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127415300232","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300232","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:1407.4019","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.4019","pdf_url":"https://arxiv.org/pdf/1407.4019","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1407.4019","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.4019","pdf_url":"https://arxiv.org/pdf/1407.4019","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1970148979","https://openalex.org/W1979832578","https://openalex.org/W1996802106","https://openalex.org/W2010775732","https://openalex.org/W2029376943","https://openalex.org/W2036455706","https://openalex.org/W2066027433","https://openalex.org/W2073595820","https://openalex.org/W2074853595","https://openalex.org/W2087749597","https://openalex.org/W2103611281","https://openalex.org/W2115780805","https://openalex.org/W2122187884","https://openalex.org/W2122582957","https://openalex.org/W2141394518","https://openalex.org/W2162577906","https://openalex.org/W2164410746","https://openalex.org/W2247058116","https://openalex.org/W3103550748","https://openalex.org/W4239673072","https://openalex.org/W4247794243"],"related_works":[],"abstract_inverted_index":{"What":[0],"is":[1,9,101,179,206,221,287,298,333],"the":[2,12,50,55,69,78,85,126,138,148,165,171,175,189,196,215,228,261,285,325],"origin":[3,357],"of":[4,11,26,39,57,65,68,90,99,114,128,140,174,260,293,331,339,347,356,358],"macroscopic":[5,75,172,200,204,295,359],"randomness":[6,76,173,201,205,296],"(uncertainty)?":[7],"This":[8,168,302],"one":[10],"most":[13],"fundamental":[14],"open":[15],"questions":[16],"for":[17],"human":[18,123],"beings.":[19,124],"In":[20,218],"this":[21,323,336],"paper,":[22],"10":[23,31,34,58,106,130,141],"000":[24,107,131],"samples":[25,108],"reliable":[27,341],"(convergent),":[28],"multiple-scale":[29],"(from":[30],"-60":[32,59,142],"to":[33,62,120,164,208],"2":[35],")":[36,60,143],"numerical":[37],"simulations":[38],"a":[40,151,155,269,354],"chaotic":[41,176,229,262,270],"three-body":[42,70,177,230,263,271],"system":[43,71,178,231,272],"indicate":[44],"that,":[45,223],"without":[46,182,224,278,317],"any":[47,183,225,279,318],"external":[48,184,226,280,319],"disturbance,":[49,227],"microscopic":[51,212],"inherent":[52,111,190,299],"uncertainty":[53],"(in":[54,137],"level":[56,79,139],"due":[61],"physical":[63,87,112,161,350],"fluctuation":[64],"initial":[66,115],"positions":[67],"enlarges":[72],"exponentially":[73],"into":[74,314],"(at":[77],"O(1))":[80],"until":[81],"t":[82,238],"=":[83,239],"T*,":[84],"so-called":[86,326],"limit":[88],"time":[89],"prediction,":[91],"but":[92],"propagates":[93],"algebraically":[94],"thereafter":[95],"when":[96],"accurate":[97],"prediction":[98],"orbit":[100],"impossible.":[102],"Note":[103],"that":[104,144,170,268,306],"these":[105,129,340],"use":[109],"micro-level,":[110],"fluctuations":[113,132],"position,":[116],"which":[117,245],"have":[118],"nothing":[119],"do":[121],"with":[122,235],"Especially,":[125],"differences":[127],"are":[133,146],"mathematically":[134],"so":[135],"small":[136],"they":[145],"physically":[147],"same":[149],"since":[150,290],"distance":[152],"shorter":[153],"than":[154],"Planck":[156],"length":[157],"does":[158],"not":[159],"make":[160],"sense":[162],"according":[163],"string":[166],"theory.":[167],"indicates":[169],"self-excited,":[180],"say,":[181],"force":[185],"or":[186,282],"disturbances,":[187],"from":[188,214,349],"micro-level":[191],"uncertainty.":[192],"It":[193],"provides":[194,246],"us":[195,247],"new":[197,248],"concept":[198],"\"self-excited":[199,250,253,257],"(uncertainty)\".":[202],"The":[203],"found":[207,222],"be":[209],"dependent":[210],"upon":[211],"uncertainty,":[213],"statistical":[216],"viewpoint.":[217],"addition,":[219],"it":[220,266],"might":[232,273],"randomly":[233,274,310],"disrupt":[234],"symmetry-breaking":[236],"at":[237],"1000":[240],"in":[241,335],"about":[242],"25%":[243],"probability,":[244],"concepts":[249],"random":[251,254],"disruption\",":[252],"escape\"":[255],"and":[256,300,352],"symmetry":[258],"breaking\"":[259],"system.":[264],"Hence,":[265],"suggests":[267],"evolve":[275,311],"by":[276,312],"itself,":[277],"forces":[281],"disturbance.":[283],"Thus,":[284],"world":[286],"essentially":[288],"uncertain,":[289],"such":[291],"kind":[292,355],"self-excited":[294],"(uncertainty)":[297],"unavailable.":[301],"work":[303],"also":[304],"implies":[305],"an":[307],"universe":[308],"could":[309,343],"itself":[313],"complicated":[315],"structures,":[316],"forces.":[320],"To":[321],"emphasize":[322],"point,":[324],"\"molecule-effect\"":[327],"(or":[328],"\"nonbutterfly":[329],"effect\")":[330],"chaos":[332,348],"suggested":[334],"paper.":[337],"All":[338],"computations":[342],"deepen":[344],"our":[345],"understandings":[346],"viewpoints,":[351],"reveal":[353],"randomness/uncertainty.":[360]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}