{"id":"https://openalex.org/W2122158731","doi":"https://doi.org/10.1142/s0218127411029033","title":"INFERRING INDIRECT COUPLING BY MEANS OF RECURRENCES","display_name":"INFERRING INDIRECT COUPLING BY MEANS OF RECURRENCES","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W2122158731","doi":"https://doi.org/10.1142/s0218127411029033","mag":"2122158731"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411029033","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029033","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/A5007342254","display_name":"Yong Zou","orcid":"https://orcid.org/0000-0002-3241-3139"},"institutions":[{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Y. ZOU","raw_affiliation_strings":["Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006279779","display_name":"M. Carmen Romano","orcid":"https://orcid.org/0000-0002-6261-2147"},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. C. ROMANO","raw_affiliation_strings":["Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom","Institute of Medical Sciences, Foresterhill, University of Aberdeen, Aberdeen AB25 2ZD, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom","institution_ids":["https://openalex.org/I195460627"]},{"raw_affiliation_string":"Institute of Medical Sciences, Foresterhill, University of Aberdeen, Aberdeen AB25 2ZD, United Kingdom","institution_ids":["https://openalex.org/I195460627"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009164900","display_name":"Marko Thiel","orcid":"https://orcid.org/0000-0002-7249-1203"},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. THIEL","raw_affiliation_strings":["Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom","institution_ids":["https://openalex.org/I195460627"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008750181","display_name":"Norbert Marwan","orcid":"https://orcid.org/0000-0003-1437-7039"},"institutions":[{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. MARWAN","raw_affiliation_strings":["Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085207296","display_name":"J\u00fcrgen Kurths","orcid":"https://orcid.org/0000-0002-5926-4276"},"institutions":[{"id":"https://openalex.org/I195460627","display_name":"University of Aberdeen","ror":"https://ror.org/016476m91","country_code":"GB","type":"education","lineage":["https://openalex.org/I195460627"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"J. KURTHS","raw_affiliation_strings":["Department of Physics, Humboldt University, Newtonstr. 15, 12489 Berlin, Germany","Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom","Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Humboldt University, Newtonstr. 15, 12489 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom","institution_ids":["https://openalex.org/I195460627"]},{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research, P. O. Box 60 12 03, 14412 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.8399,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.98267703,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"21","issue":"04","first_page":"1099","last_page":"1111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9926000237464905,"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"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9926000237464905,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9865000247955322,"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/coupling","display_name":"Coupling (piping)","score":0.7438282370567322},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7135107517242432},{"id":"https://openalex.org/keywords/recurrence-quantification-analysis","display_name":"Recurrence quantification analysis","score":0.7064042687416077},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6285772919654846},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5740902423858643},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"Conditional probability","score":0.49108362197875977},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4677106738090515},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46476349234580994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4497808516025543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39208632707595825},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32897454500198364},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23578065633773804},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21789774298667908},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1902114450931549},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11419832706451416},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11133378744125366},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0994950532913208}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.7438282370567322},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7135107517242432},{"id":"https://openalex.org/C43456602","wikidata":"https://www.wikidata.org/wiki/Q7303254","display_name":"Recurrence quantification analysis","level":3,"score":0.7064042687416077},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6285772919654846},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5740902423858643},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.49108362197875977},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4677106738090515},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46476349234580994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4497808516025543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39208632707595825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32897454500198364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23578065633773804},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21789774298667908},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1902114450931549},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11419832706451416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11133378744125366},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0994950532913208},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127411029033","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029033","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:CiteSeerX.psu:10.1.1.385.2714","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.385.2714","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pik-potsdam.de/members/kurths/publikationen/2011/zou_IJBC2011.pdf","raw_type":"text"},{"id":"pmh:oai:publications.pik-potsdam.de:item_16916","is_oa":false,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_16916","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W186186683","https://openalex.org/W613224089","https://openalex.org/W1599969036","https://openalex.org/W1636081627","https://openalex.org/W1989280360","https://openalex.org/W1991014661","https://openalex.org/W2004215122","https://openalex.org/W2007062492","https://openalex.org/W2007218348","https://openalex.org/W2019935623","https://openalex.org/W2022537188","https://openalex.org/W2027607571","https://openalex.org/W2041343622","https://openalex.org/W2041782669","https://openalex.org/W2042491780","https://openalex.org/W2056651346","https://openalex.org/W2063858529","https://openalex.org/W2065386084","https://openalex.org/W2070722739","https://openalex.org/W2071044018","https://openalex.org/W2071158443","https://openalex.org/W2080105404","https://openalex.org/W2081681829","https://openalex.org/W2099593264","https://openalex.org/W2113944951","https://openalex.org/W2115854279","https://openalex.org/W2120253913","https://openalex.org/W2124637492","https://openalex.org/W2128705129","https://openalex.org/W2167038453","https://openalex.org/W2178225550","https://openalex.org/W2528271650"],"related_works":["https://openalex.org/W4236831073","https://openalex.org/W4385146532","https://openalex.org/W2343087986","https://openalex.org/W2069674164","https://openalex.org/W3015354512","https://openalex.org/W4294091146","https://openalex.org/W2170570457","https://openalex.org/W2043356813","https://openalex.org/W2116663680","https://openalex.org/W2068179812"],"abstract_inverted_index":{"The":[0,39],"identification":[1],"of":[2,15,45,48,69,86],"the":[3,33,67,95],"coupling":[4,34,60],"direction":[5],"from":[6],"measured":[7],"time":[8,71,111],"series":[9,72,112],"taking":[10],"place":[11],"in":[12],"a":[13,29,43],"group":[14],"interacting":[16,64],"components":[17],"is":[18,106],"an":[19,84],"important":[20],"challenge":[21],"for":[22,109],"many":[23],"experimental":[24,110],"studies.":[25],"We":[26,79],"propose":[27],"here":[28],"method":[30,82,97],"to":[31,54,66,101],"uncover":[32],"configuration":[35],"using":[36],"recurrence":[37],"properties.":[38],"approach":[40],"hinges":[41],"on":[42],"generalization":[44],"conditional":[46],"probability":[47],"recurrence,":[49],"which":[50,105],"was":[51],"originally":[52],"introduced":[53],"detect":[55],"and":[56],"quantify":[57],"even":[58],"weak":[59],"directions":[61],"between":[62],"two":[63],"systems,":[65],"case":[68],"multivariate":[70],"where":[73],"indirect":[74,103],"interactions":[75],"might":[76],"be":[77],"present.":[78],"test":[80],"our":[81],"by":[83],"example":[85],"three":[87],"coupled":[88],"Lorenz":[89],"systems.":[90],"Our":[91],"results":[92],"confirm":[93],"that":[94],"proposed":[96],"has":[98],"much":[99],"potential":[100],"identify":[102],"coupling,":[104],"very":[107],"relevant":[108],"analysis.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}