{"id":"https://openalex.org/W2138067521","doi":"https://doi.org/10.1142/s0218127401003231","title":"MIXED STATE ANALYSIS OF MULTIVARIATE TIME SERIES","display_name":"MIXED STATE ANALYSIS OF MULTIVARIATE TIME SERIES","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2138067521","doi":"https://doi.org/10.1142/s0218127401003231","mag":"2138067521"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127401003231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401003231","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/A5064345214","display_name":"Martin Wiesenfeldt","orcid":"https://orcid.org/0000-0002-8359-1373"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"MARTIN WIESENFELDT","raw_affiliation_strings":["Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056288636","display_name":"Ulrich Parlitz","orcid":"https://orcid.org/0000-0003-3058-1435"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"ULRICH PARLITZ","raw_affiliation_strings":["Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057300692","display_name":"Werner Lauterborn","orcid":"https://orcid.org/0000-0002-9529-2282"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"WERNER LAUTERBORN","raw_affiliation_strings":["Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drittes Physikalisches Institut, Universit\u00e4t G\u00f6ttingen, B\u00fcrgerstra\u00dfe 42-44, D-37073 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":null,"apc_paid":null,"fwci":2.8799,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.91908505,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"08","first_page":"2217","last_page":"2226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9969000220298767,"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":0.9969000220298767,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9898999929428101,"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"}},{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7351222038269043},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6735824346542358},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5887281894683838},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5370022654533386},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5023784637451172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.489572137594223},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.4860289692878723},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4854622483253479},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46264469623565674},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.45498836040496826},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4522070586681366},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.44494935870170593},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35314780473709106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35091066360473633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28431862592697144},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26050612330436707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19919660687446594},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.1637933850288391},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13997477293014526},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11316609382629395},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0738893449306488},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07358798384666443},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07288849353790283}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7351222038269043},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6735824346542358},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5887281894683838},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5370022654533386},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5023784637451172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.489572137594223},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4860289692878723},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4854622483253479},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46264469623565674},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.45498836040496826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4522070586681366},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.44494935870170593},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35314780473709106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35091066360473633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28431862592697144},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26050612330436707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19919660687446594},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.1637933850288391},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13997477293014526},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11316609382629395},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0738893449306488},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07358798384666443},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07288849353790283},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127401003231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401003231","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1549386224","https://openalex.org/W1604164278","https://openalex.org/W1971161234","https://openalex.org/W1975602500","https://openalex.org/W1991439089","https://openalex.org/W1996552249","https://openalex.org/W2020530004","https://openalex.org/W2022537188","https://openalex.org/W2027279223","https://openalex.org/W2039627263","https://openalex.org/W2041782669","https://openalex.org/W2054402839","https://openalex.org/W2077927550","https://openalex.org/W2081341468","https://openalex.org/W2086023003","https://openalex.org/W2163899311","https://openalex.org/W4239340087"],"related_works":["https://openalex.org/W4210983394","https://openalex.org/W2314781336","https://openalex.org/W2019031529","https://openalex.org/W2068371111","https://openalex.org/W4246337296","https://openalex.org/W2032753071","https://openalex.org/W2893918406","https://openalex.org/W2555718735","https://openalex.org/W2168131007","https://openalex.org/W1504727223"],"abstract_inverted_index":{"A":[0],"method":[1],"is":[2,20],"presented":[3],"for":[4],"detecting":[5],"weak":[6],"coupling":[7],"between":[8],"(chaotic)":[9],"dynamical":[10],"systems":[11],"below":[12],"the":[13],"threshold":[14],"of":[15,24,28,37],"(generalized)":[16],"synchronization.":[17],"This":[18],"approach":[19],"based":[21],"on":[22],"reconstruction":[23],"mixed":[25],"states":[26],"consisting":[27],"delayed":[29],"samples":[30],"taken":[31],"from":[32],"simultaneously":[33],"measured":[34],"time":[35],"series":[36],"both":[38],"systems.":[39]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"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":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}