{"id":"https://openalex.org/W2064517346","doi":"https://doi.org/10.1080/00207720601014552","title":"A set of novel correlation tests for nonlinear system variables","display_name":"A set of novel correlation tests for nonlinear system variables","publication_year":2006,"publication_date":"2006-12-18","ids":{"openalex":"https://openalex.org/W2064517346","doi":"https://doi.org/10.1080/00207720601014552","mag":"2064517346"},"language":"en","primary_location":{"id":"doi:10.1080/00207720601014552","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720601014552","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5058672980","display_name":"Ling-yun Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"L. F. Zhang","raw_affiliation_strings":["Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042073790","display_name":"Quanmin Zhu","orcid":"https://orcid.org/0000-0001-8173-1179"},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Q. M. Zhu","raw_affiliation_strings":["Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035352120","display_name":"A. Longden","orcid":null},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Longden","raw_affiliation_strings":["Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Faculty of Computing, Engineering & Mathematical Sciences, University of the West of England, Bristol, BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042073790"],"corresponding_institution_ids":["https://openalex.org/I178535277"],"apc_list":null,"apc_paid":null,"fwci":1.9726,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.82660922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"38","issue":"1","first_page":"47","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9825999736785889,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9708999991416931,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.7569631934165955},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7266198396682739},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6455889344215393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5499148964881897},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3966461420059204},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3599420189857483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34707361459732056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3310880661010742}],"concepts":[{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.7569631934165955},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7266198396682739},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6455889344215393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5499148964881897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3966461420059204},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3599420189857483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34707361459732056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3310880661010742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720601014552","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720601014552","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":25,"referenced_works":["https://openalex.org/W1560107318","https://openalex.org/W1692761783","https://openalex.org/W1968632832","https://openalex.org/W1975424366","https://openalex.org/W1984921794","https://openalex.org/W1997018939","https://openalex.org/W2006250902","https://openalex.org/W2006665115","https://openalex.org/W2015801280","https://openalex.org/W2024565720","https://openalex.org/W2060472901","https://openalex.org/W2065123596","https://openalex.org/W2068055948","https://openalex.org/W2081422011","https://openalex.org/W2096676343","https://openalex.org/W2107650052","https://openalex.org/W2117165699","https://openalex.org/W2168807756","https://openalex.org/W2171400301","https://openalex.org/W2313953460","https://openalex.org/W2799045433","https://openalex.org/W2994876357","https://openalex.org/W4240172095","https://openalex.org/W4244624179","https://openalex.org/W4253708194"],"related_works":["https://openalex.org/W2386767533","https://openalex.org/W2355215981","https://openalex.org/W2360154135","https://openalex.org/W4239376463","https://openalex.org/W2351859806","https://openalex.org/W1994109492","https://openalex.org/W1987371472","https://openalex.org/W2089811522","https://openalex.org/W2092244978","https://openalex.org/W2142381314"],"abstract_inverted_index":{"A":[0],"set":[1,41],"of":[2,42,49,56,73,80],"novel":[3],"correlation":[4,57,96],"tests":[5],"using":[6],"omni-directional":[7],"cross-correlation":[8,18],"functions":[9,19],"(ODCCFs),":[10],"which":[11],"are":[12,21,37,84],"based":[13],"on":[14],"the":[15,24,35,54,61,64,81],"first":[16],"order":[17],"(CCF),":[20],"proposed":[22],"in":[23,71,104],"present":[25],"study":[26],"to":[27,45,60],"comprehensively":[28],"detect":[29],"nonlinear":[30,74,95],"relationships":[31],"between":[32],"variables.":[33],"Then":[34],"ODCCFs":[36],"combined":[38],"into":[39],"a":[40],"concise":[43],"formulations":[44],"provide":[46],"better":[47],"illustration":[48],"detected":[50],"correlations":[51],"and":[52,78,89,94],"reduce":[53],"number":[55],"plots.":[58],"Compared":[59],"other":[62,92],"approaches,":[63],"new":[65,82],"methodology":[66],"brings":[67],"much":[68],"more":[69],"power":[70],"detection":[72],"correlations.":[75],"The":[76,98],"efficiency":[77],"effectiveness":[79],"algorithm":[83],"demonstrated":[85],"through":[86],"simulation":[87],"studies":[88],"comparisons":[90],"with":[91],"linear":[93],"tests.":[97],"results":[99],"can":[100],"be":[101],"widely":[102],"applied":[103],"many":[105],"relevant":[106],"fields.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
