{"id":"https://openalex.org/W2124546675","doi":"https://doi.org/10.1142/s1793536912500082","title":"WHAT ABOUT THE ASYMPTOTIC BEHAVIOR OF THE INTRINSIC MODE FUNCTIONS AS THE SIFTING TIMES TEND TO INFINITY?","display_name":"WHAT ABOUT THE ASYMPTOTIC BEHAVIOR OF THE INTRINSIC MODE FUNCTIONS AS THE SIFTING TIMES TEND TO INFINITY?","publication_year":2012,"publication_date":"2012-04-01","ids":{"openalex":"https://openalex.org/W2124546675","doi":"https://doi.org/10.1142/s1793536912500082","mag":"2124546675"},"language":"en","primary_location":{"id":"doi:10.1142/s1793536912500082","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793536912500082","pdf_url":null,"source":{"id":"https://openalex.org/S16439242","display_name":"Advances in Adaptive Data Analysis","issn_l":"1793-5369","issn":["1793-5369","1793-7175"],"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":"Advances in Adaptive Data Analysis","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/A5100632258","display_name":"Jin-Liang Wang","orcid":"https://orcid.org/0000-0002-4328-4598"},"institutions":[{"id":"https://openalex.org/I44468530","display_name":"Qingdao University of Technology","ror":"https://ror.org/01qzc0f54","country_code":"CN","type":"education","lineage":["https://openalex.org/I44468530"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIN-LIANG WANG","raw_affiliation_strings":["College of Science, Qingdao Technological University, East Jialingjiang Road, No. 777, Huangdao Region of Qingdao 266520, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Qingdao Technological University, East Jialingjiang Road, No. 777, Huangdao Region of Qingdao 266520, China","institution_ids":["https://openalex.org/I44468530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040044764","display_name":"Zong\u2010Jun Li","orcid":"https://orcid.org/0000-0002-7944-8371"},"institutions":[{"id":"https://openalex.org/I44468530","display_name":"Qingdao University of Technology","ror":"https://ror.org/01qzc0f54","country_code":"CN","type":"education","lineage":["https://openalex.org/I44468530"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZONG-JUN LI","raw_affiliation_strings":["College of Science, Qingdao Technological University, East Jialingjiang Road, No. 777, Huangdao Region of Qingdao 266520, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Qingdao Technological University, East Jialingjiang Road, No. 777, Huangdao Region of Qingdao 266520, China","institution_ids":["https://openalex.org/I44468530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8423,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91498423,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"04","issue":"01n02","first_page":"1250008","last_page":"1250008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9950000047683716,"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"}},"topics":[{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T11222","display_name":"Magnetic Properties and Applications","score":0.9625999927520752,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12431","display_name":"Sugarcane Cultivation and Processing","score":0.9611999988555908,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/suspension","display_name":"Suspension (topology)","score":0.705980658531189},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6428800821304321},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6059557199478149},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.5788676142692566},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5681319832801819},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5430469512939453},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.47570499777793884},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4309212863445282},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.42826539278030396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3546185791492462},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.250171422958374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18821117281913757},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12041264772415161},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07962551712989807}],"concepts":[{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.705980658531189},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6428800821304321},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6059557199478149},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.5788676142692566},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5681319832801819},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5430469512939453},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.47570499777793884},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4309212863445282},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.42826539278030396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3546185791492462},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.250171422958374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18821117281913757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12041264772415161},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07962551712989807},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793536912500082","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793536912500082","pdf_url":null,"source":{"id":"https://openalex.org/S16439242","display_name":"Advances in Adaptive Data Analysis","issn_l":"1793-5369","issn":["1793-5369","1793-7175"],"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":"Advances in Adaptive Data Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1985274025","https://openalex.org/W2007221293","https://openalex.org/W2015544881","https://openalex.org/W2088202114","https://openalex.org/W2098395403","https://openalex.org/W2107558893","https://openalex.org/W2120390927"],"related_works":["https://openalex.org/W2306553012","https://openalex.org/W4251417359","https://openalex.org/W2381059884","https://openalex.org/W4229993731","https://openalex.org/W2372756075","https://openalex.org/W1979193983","https://openalex.org/W2220405813","https://openalex.org/W2353039109","https://openalex.org/W1821795854","https://openalex.org/W2000880393"],"abstract_inverted_index":{"This":[0,185],"paper":[1],"mainly":[2],"focuses":[3],"on":[4,148,269],"discussing":[5],"the":[6,11,25,31,48,58,62,69,84,93,123,132,142,149,152,157,163,174,178,190,202,218,222,233,240,250,254,263,278,282,303],"following":[7],"three":[8],"suspensions":[9],"about":[10],"intrinsic":[12],"mode":[13,98],"functions":[14],"(IMFs):":[15],"(1)":[16],"Whether":[17,30,57],"more":[18,259,300],"sifting":[19,49,70,172,219],"times":[20,50,71],"lead":[21],"better":[22],"symmetry":[23,175],"to":[24,40,52,73,83,230],"IMFs":[26,64,179,227],"or":[27,54,75],"not?":[28,55,76],"(2)":[29],"upper":[32],"and":[33,137,232,308],"lower":[34],"envelopes":[35],"of":[36,43,61,89,96,151,159,177,213,253,262,273],"each":[37],"IMF":[38,256],"degenerate":[39],"a":[41,107,170,245,270,292],"pair":[42],"symmetric":[44],"straight":[45],"lines":[46],"as":[47,68],"tend":[51,72],"infinity":[53,74],"(3)":[56],"average":[59],"frequencies":[60],"neighboring":[63,226],"get":[65],"closer":[66],"enough":[67],"The":[77,102,126,266],"first":[78,191,255],"suspension":[79,104,128,192,235],"has":[80],"direct":[81],"relation":[82],"stoppage":[85],"criteria,":[86],"which":[87,298],"is":[88,105,129,146,193,211,236,244,296,299],"critical":[90],"importance":[91],"in":[92,181,195],"successful":[94],"implementation":[95],"empirical":[97,283],"decomposition":[99],"(EMD)":[100],"method.":[101],"second":[103],"actually":[106],"rigid":[108],"theoretical":[109,203],"result":[110,204],"given":[111,134,205,305],"by":[112,135,206,306],"Wang":[113,207],"et":[114,208],"al.":[115,209],"[2010],":[116],"but":[117],"it":[118],"may":[119,257],"be":[120,258],"failed":[121],"for":[122,162,225],"actual":[124],"sifting.":[125],"third":[127],"associated":[130],"with":[131],"conjecture":[133],"Wu":[136,307],"Huang":[138,309],"[2010].":[139],"In":[140,290],"addition,":[141,291],"frequency":[143,223,279],"distribution":[144,280],"problem":[145],"also":[147],"way":[150],"last":[153,234],"suspension.":[154],"By":[155],"considering":[156],"variation":[158],"maximum":[160],"amplitude":[161],"mean":[164],"curve,":[165],"we":[166],"find":[167],"that,":[168],"after":[169],"certain":[171],"times,":[173],"degree":[176],"behaves":[180],"an":[182,287],"intermittent":[183],"manner.":[184],"asymptotic":[186],"behavior":[187],"indicates":[188],"that":[189,201,221,249,261,277],"false":[194],"all":[196],"probability.":[197],"Further":[198],"investigation":[199],"shows":[200],"[2010]":[210],"out":[212],"reach.":[214],"It":[215],"follows":[216],"from":[217,239],"tests":[220],"ratio":[224],"cannot":[228],"decrease":[229],"1":[231],"cracked.":[237],"Different":[238],"common":[241],"sense,":[242],"there":[243],"very":[246],"interesting":[247],"phenomenon":[248],"extreme":[251],"points":[252],"than":[260,302],"original":[264],"data.":[265],"statistical":[267],"results":[268],"large":[271],"quantity":[272],"field":[274],"data":[275],"show":[276],"along":[281],"modes":[284],"roughly":[285],"obeys":[286],"exponential":[288],"law.":[289],"new":[293],"mode-number":[294],"formula":[295],"deduced,":[297],"reasonable":[301],"one":[304],"[2009].":[310]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}