{"id":"https://openalex.org/W1971643641","doi":"https://doi.org/10.1142/s0218127412300443","title":"CONVENTIONAL AND EXTENDED TIME-DELAYED FEEDBACK CONTROLLED ZERO-CROSSING DIGITAL PHASE LOCKED LOOP","display_name":"CONVENTIONAL AND EXTENDED TIME-DELAYED FEEDBACK CONTROLLED ZERO-CROSSING DIGITAL PHASE LOCKED LOOP","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1971643641","doi":"https://doi.org/10.1142/s0218127412300443","mag":"1971643641"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412300443","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300443","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/A5056798292","display_name":"Tanmoy Banerjee","orcid":"https://orcid.org/0000-0002-6633-3233"},"institutions":[{"id":"https://openalex.org/I132359460","display_name":"University of Burdwan","ror":"https://ror.org/05cyd8v32","country_code":"IN","type":"education","lineage":["https://openalex.org/I132359460"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"TANMOY BANERJEE","raw_affiliation_strings":["Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India","Department of Physics, University of Burdwan - Burdwan 713 104, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India","institution_ids":["https://openalex.org/I132359460"]},{"raw_affiliation_string":"Department of Physics, University of Burdwan - Burdwan 713 104, West Bengal, India","institution_ids":["https://openalex.org/I132359460"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035159312","display_name":"B. C. Sarkar","orcid":"https://orcid.org/0000-0002-8334-7928"},"institutions":[{"id":"https://openalex.org/I132359460","display_name":"University of Burdwan","ror":"https://ror.org/05cyd8v32","country_code":"IN","type":"education","lineage":["https://openalex.org/I132359460"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. C. SARKAR","raw_affiliation_strings":["Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India","Department of Physics, University of Burdwan - Burdwan 713 104, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India","institution_ids":["https://openalex.org/I132359460"]},{"raw_affiliation_string":"Department of Physics, University of Burdwan - Burdwan 713 104, West Bengal, India","institution_ids":["https://openalex.org/I132359460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056798292"],"corresponding_institution_ids":["https://openalex.org/I132359460"],"apc_list":null,"apc_paid":null,"fwci":1.2127,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77468714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"12","first_page":"1230044","last_page":"1230044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9975000023841858,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9973999857902527,"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/dpll-algorithm","display_name":"DPLL algorithm","score":0.8829126954078674},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7982879877090454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5227363705635071},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5108498930931091},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.4992842674255371},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48877307772636414},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.4700053334236145},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44595789909362793},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.42653968930244446},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.31704577803611755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26584434509277344},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.213474839925766},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14461269974708557}],"concepts":[{"id":"https://openalex.org/C143936061","wikidata":"https://www.wikidata.org/wiki/Q2030088","display_name":"DPLL algorithm","level":4,"score":0.8829126954078674},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7982879877090454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5227363705635071},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5108498930931091},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.4992842674255371},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48877307772636414},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.4700053334236145},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44595789909362793},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.42653968930244446},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.31704577803611755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26584434509277344},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.213474839925766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14461269974708557},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412300443","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300443","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W4193965","https://openalex.org/W1561991101","https://openalex.org/W1975088854","https://openalex.org/W1994022035","https://openalex.org/W1995323087","https://openalex.org/W1999894800","https://openalex.org/W2027916287","https://openalex.org/W2028574825","https://openalex.org/W2039453171","https://openalex.org/W2057113473","https://openalex.org/W2067497837","https://openalex.org/W2068551947","https://openalex.org/W2088146564","https://openalex.org/W2098749586","https://openalex.org/W2115233751","https://openalex.org/W2138882480","https://openalex.org/W2145296422","https://openalex.org/W2145931622","https://openalex.org/W2154332266","https://openalex.org/W2169756498","https://openalex.org/W4205561218","https://openalex.org/W4213100547","https://openalex.org/W4231954438","https://openalex.org/W4232925152","https://openalex.org/W4239160261","https://openalex.org/W4250943026","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2380467267","https://openalex.org/W1980525453","https://openalex.org/W2325206724","https://openalex.org/W2059960378","https://openalex.org/W2043945969","https://openalex.org/W4390099038","https://openalex.org/W2103754166","https://openalex.org/W1994059163","https://openalex.org/W2110868325","https://openalex.org/W2058003010"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,6,41,51,61,67,71,84,100,103,110,114,118,123,127],"effect":[4],"of":[5,14,44,70,102,113,126],"conventional":[7],"and":[8,34,154],"extended":[9,85],"time-delayed":[10,52,86],"feedback":[11,53,87,105],"control":[12,16,54,73,88,106,138],"techniques":[13],"chaos":[15],"on":[17,57,91,109],"a":[18,45,58,79,92,145,152],"first-order":[19],"positive":[20],"zero-crossing":[21],"digital":[22],"phase":[23,128],"locked":[24],"loop":[25,119],"(ZC1-DPLL)":[26],"using":[27],"local":[28],"stability":[29,147],"analysis,":[30],"two-parameter":[31,35],"bifurcation":[32],"studies":[33],"Lyapunov":[36],"exponent":[37],"spectrum.":[38],"Starting":[39],"from":[40],"nonlinear":[42,124],"dynamics":[43],"ZC1-DPLL,":[46],"we":[47],"at":[48],"first":[49],"explore":[50],"(TDFC)":[55],"algorithm":[56],"ZC1-DPLL":[59,93,143,153],"in":[60,122,149],"parameter":[62,74],"space.":[63],"A":[64],"condition":[65],"for":[66,78,134],"optimum":[68],"value":[69],"system":[72],"is":[75,94,97],"derived":[76],"analytically":[77],"TDFC":[80,156],"based":[81,142],"ZC1-DPLL.":[82],"Next,":[83],"(ETDFC)":[89],"technique":[90,108],"described.":[95],"It":[96],"observed":[98],"that":[99],"application":[101],"delayed":[104],"(DFC)":[107],"sampled":[111],"values":[112],"incoming":[115],"signal":[116],"inside":[117],"finally":[120],"results":[121],"DFC":[125],"error":[129],"dynamics.":[130],"We":[131],"prove":[132],"that,":[133],"some":[135],"suitably":[136],"chosen":[137],"parameters,":[139],"an":[140],"ETDFC":[141],"has":[144],"broader":[146],"zone":[148],"comparison":[150],"with":[151],"its":[155],"version.":[157]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
