{"id":"https://openalex.org/W1991412079","doi":"https://doi.org/10.1142/s0219691307001628","title":"MODELING OF CHAOTIC SYSTEMS WITH MULTIWAVELET TRANSFORM COMBINED WITH RECURRENT LEAST SQUARES SUPPORT VECTOR MACHINES","display_name":"MODELING OF CHAOTIC SYSTEMS WITH MULTIWAVELET TRANSFORM COMBINED WITH RECURRENT LEAST SQUARES SUPPORT VECTOR MACHINES","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1991412079","doi":"https://doi.org/10.1142/s0219691307001628","mag":"1991412079"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691307001628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001628","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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 Wavelets, Multiresolution and Information Processing","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/A5006460520","display_name":"Zheng Xiang","orcid":"https://orcid.org/0000-0002-1503-2895"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"ZHENG XIANG","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China","The School of Telecommunication Engineering Xidian University, Xi'an, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"The School of Telecommunication Engineering Xidian University, Xi'an, P. R. China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102986445","display_name":"Taiyi Zhang","orcid":"https://orcid.org/0000-0002-1135-2648"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"TAIYI ZHANG","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027824937","display_name":"Jiancheng Sun","orcid":"https://orcid.org/0000-0001-9375-8918"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIANCHENG SUN","raw_affiliation_strings":["Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006460520"],"corresponding_institution_ids":["https://openalex.org/I149594827","https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09615653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"05","issue":"01","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9947999715805054,"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/T10244","display_name":"Chaos control and synchronization","score":0.9947999715805054,"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/T10320","display_name":"Neural Networks and Applications","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7592979073524475},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7280970215797424},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6186312437057495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5347840785980225},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5337518453598022},{"id":"https://openalex.org/keywords/correlation-dimension","display_name":"Correlation dimension","score":0.5246710777282715},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5111661553382874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4796769618988037},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.47045814990997314},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.45201241970062256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4335190951824188},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4317903220653534},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.429569810628891},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4250434637069702},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3717166483402252},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24724900722503662},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11083540320396423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08407413959503174}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7592979073524475},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7280970215797424},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6186312437057495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5347840785980225},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5337518453598022},{"id":"https://openalex.org/C110601934","wikidata":"https://www.wikidata.org/wiki/Q5172849","display_name":"Correlation dimension","level":4,"score":0.5246710777282715},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5111661553382874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4796769618988037},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.47045814990997314},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.45201241970062256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4335190951824188},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4317903220653534},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.429569810628891},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4250434637069702},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3717166483402252},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24724900722503662},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11083540320396423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08407413959503174},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691307001628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001628","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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 Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1496317909","https://openalex.org/W1532679390","https://openalex.org/W1549386224","https://openalex.org/W1596717185","https://openalex.org/W1978996791","https://openalex.org/W1984230865","https://openalex.org/W2010461070","https://openalex.org/W2034099719","https://openalex.org/W2056651346","https://openalex.org/W2116124511","https://openalex.org/W2118756059","https://openalex.org/W2120879667","https://openalex.org/W2124450561","https://openalex.org/W2148603752","https://openalex.org/W2152254020","https://openalex.org/W2156909104","https://openalex.org/W2157395375","https://openalex.org/W2164423928","https://openalex.org/W2171987742","https://openalex.org/W4206511281","https://openalex.org/W4255272544","https://openalex.org/W4301410333"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W2187399829","https://openalex.org/W2106857803","https://openalex.org/W1972922334","https://openalex.org/W2364951437","https://openalex.org/W2002791315","https://openalex.org/W2200598598","https://openalex.org/W2368906896","https://openalex.org/W2381206015","https://openalex.org/W2375956839"],"abstract_inverted_index":{"A":[0],"new":[1],"algorithm":[2],"for":[3],"modeling":[4,60],"of":[5,32,41,61,71,104,123],"chaotic":[6,63,125],"systems":[7],"is":[8,16,65],"presented":[9],"in":[10],"this":[11],"paper.":[12],"First,":[13],"more":[14,47,128],"information":[15],"acquired":[17],"utilizing":[18],"the":[19,25,33,37,42,52,62,69,76,83,87,108,116,121,124],"reconstructed":[20],"embedding":[21],"phase":[22],"space,":[23],"and":[24,79,86,92,110],"multiwavelets":[26],"transform":[27],"provides":[28],"a":[29],"sensible":[30],"decomposition":[31],"data":[34],"so":[35],"that":[36,115],"underlying":[38],"temporal":[39],"structures":[40],"original":[43,109],"time":[44,100,112,126],"series":[45,113,127],"become":[46],"tractable.":[48],"Second,":[49],"based":[50],"on":[51],"Recurrent":[53],"Least":[54],"Squares":[55],"Support":[56],"Vector":[57],"Machines":[58],"(RLS-SVM),":[59],"system":[64],"realized.":[66],"To":[67],"demonstrate":[68],"effectiveness":[70],"our":[72,95],"algorithm,":[73],"we":[74],"use":[75],"power":[77],"spectrum":[78],"dynamic":[80,105],"invariants":[81,106],"involving":[82],"Lyapunov":[84],"exponents":[85],"correlation":[88],"dimension":[89],"as":[90],"criterions,":[91],"then":[93],"apply":[94],"method":[96,118],"to":[97],"Chua's":[98],"circuit":[99],"series.":[101],"The":[102],"similarity":[103],"between":[107],"generated":[111],"shows":[114],"proposed":[117],"can":[119],"capture":[120],"dynamics":[122],"effectively.":[129]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
