{"id":"https://openalex.org/W2030687147","doi":"https://doi.org/10.1142/s0218127412502884","title":"CHAOS IN COUPLED CLOCKS","display_name":"CHAOS IN COUPLED CLOCKS","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2030687147","doi":"https://doi.org/10.1142/s0218127412502884","mag":"2030687147"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502884","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502884","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/A5066882151","display_name":"P. Perlikowski","orcid":"https://orcid.org/0000-0003-0117-4451"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"P. PERLIKOWSKI","raw_affiliation_strings":["Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]},{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011002903","display_name":"Marcin Kapitaniak","orcid":"https://orcid.org/0000-0001-9321-6334"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"M. KAPITANIAK","raw_affiliation_strings":["Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]},{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070564712","display_name":"Krzysztof Czo\u0142czy\u0144ski","orcid":"https://orcid.org/0000-0002-4058-4114"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"K. CZOLCZYNSKI","raw_affiliation_strings":["Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]},{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066258354","display_name":"Andrzej Stefa\u0144ski","orcid":"https://orcid.org/0000-0002-3210-5080"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"A. STEFANSKI","raw_affiliation_strings":["Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]},{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022615156","display_name":"Tomasz Kapitaniak","orcid":"https://orcid.org/0000-0001-9651-752X"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"T. KAPITANIAK","raw_affiliation_strings":["Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]},{"raw_affiliation_string":"Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland","institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5953,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92834382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"12","first_page":"1250288","last_page":"1250288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9950000047683716,"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/T10244","display_name":"Chaos control and synchronization","score":0.9781000018119812,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.6526302099227905},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6286040544509888},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6152899265289307},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5602843761444092},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.5561010837554932},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5558602213859558},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.54786217212677},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4826720058917999},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.4317514896392822},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.4143151044845581},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4051735997200012},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3515443205833435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2787080705165863},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.20487627387046814},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09427234530448914},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05902853608131409}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6526302099227905},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6286040544509888},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6152899265289307},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5602843761444092},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.5561010837554932},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5558602213859558},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.54786217212677},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4826720058917999},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.4317514896392822},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.4143151044845581},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4051735997200012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3515443205833435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2787080705165863},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.20487627387046814},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09427234530448914},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05902853608131409},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412502884","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502884","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W565010299","https://openalex.org/W628746759","https://openalex.org/W649457022","https://openalex.org/W950991549","https://openalex.org/W1620414136","https://openalex.org/W1972472677","https://openalex.org/W1983526251","https://openalex.org/W1999801611","https://openalex.org/W2013624353","https://openalex.org/W2047237923","https://openalex.org/W2086802748","https://openalex.org/W2087950050","https://openalex.org/W2088341029","https://openalex.org/W2100260203","https://openalex.org/W2110810782","https://openalex.org/W2111643331","https://openalex.org/W2129374297","https://openalex.org/W2136611133","https://openalex.org/W2146668908","https://openalex.org/W2149399995","https://openalex.org/W2166349669","https://openalex.org/W2500278320"],"related_works":["https://openalex.org/W2054582988","https://openalex.org/W1581278046","https://openalex.org/W2052017700","https://openalex.org/W2384000718","https://openalex.org/W2365276084","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2059069173","https://openalex.org/W2010385540","https://openalex.org/W2068371111"],"abstract_inverted_index":{"We":[0,22,43],"consider":[1],"the":[2,11,19,27,32,46],"dynamics":[3],"of":[4,10],"two":[5],"pendulum":[6],"clocks":[7],"(with":[8],"pendulums":[9],"same":[12,20],"length":[13],"but":[14],"different":[15],"masses)":[16],"suspended":[17],"on":[18],"beam.":[21],"give":[23],"evidence":[24],"that":[25,45],"besides":[26],"complete":[28],"and":[29,40],"phase":[30],"synchronizations,":[31],"considered":[33],"system":[34],"can":[35],"exhibit":[36],"long":[37],"period":[38],"synchronization":[39],"chaotic":[41],"behavior.":[42],"argue":[44],"observed":[47],"phenomena":[48],"are":[49],"robust.":[50]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
