{"id":"https://openalex.org/W2120971155","doi":"https://doi.org/10.1142/s0218127413300206","title":"THEORY AND EXPERIMENT OF A FIRST-ORDER CHAOTIC DELAY DYNAMICAL SYSTEM","display_name":"THEORY AND EXPERIMENT OF A FIRST-ORDER CHAOTIC DELAY DYNAMICAL SYSTEM","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2120971155","doi":"https://doi.org/10.1142/s0218127413300206","mag":"2120971155"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413300206","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300206","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/A5024835047","display_name":"Debabrata Biswas","orcid":"https://orcid.org/0000-0001-9110-7003"},"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":"DEBABRATA BISWAS","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":1.746,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.85370361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"06","first_page":"1330020","last_page":"1330020"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9900000095367432,"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":0.9891999959945679,"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/control-theory","display_name":"Control theory (sociology)","score":0.6609051823616028},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6158137321472168},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.6136153340339661},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6110386252403259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5955625772476196},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5641446709632874},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.5073689818382263},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4958063066005707},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.46741390228271484},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.44616052508354187},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43510815501213074},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.34390145540237427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2710513472557068},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22670221328735352},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1936413049697876}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6609051823616028},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6158137321472168},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.6136153340339661},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6110386252403259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5955625772476196},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5641446709632874},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.5073689818382263},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4958063066005707},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.46741390228271484},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.44616052508354187},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43510815501213074},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.34390145540237427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2710513472557068},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22670221328735352},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1936413049697876},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413300206","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300206","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W634242099","https://openalex.org/W1490587873","https://openalex.org/W1586658033","https://openalex.org/W1625863036","https://openalex.org/W1965295415","https://openalex.org/W1970650503","https://openalex.org/W1972914572","https://openalex.org/W1975427058","https://openalex.org/W1976802526","https://openalex.org/W1978407782","https://openalex.org/W1981723084","https://openalex.org/W1986928742","https://openalex.org/W1987198344","https://openalex.org/W1990602521","https://openalex.org/W1990853262","https://openalex.org/W1997844989","https://openalex.org/W2019158072","https://openalex.org/W2021815902","https://openalex.org/W2032347897","https://openalex.org/W2033383646","https://openalex.org/W2037239355","https://openalex.org/W2037359502","https://openalex.org/W2043964945","https://openalex.org/W2048361615","https://openalex.org/W2048461848","https://openalex.org/W2056642468","https://openalex.org/W2057286671","https://openalex.org/W2061331786","https://openalex.org/W2062008996","https://openalex.org/W2067497837","https://openalex.org/W2073674083","https://openalex.org/W2093360411","https://openalex.org/W2094050294","https://openalex.org/W2094631910","https://openalex.org/W2102498108","https://openalex.org/W2112984537","https://openalex.org/W2121644342","https://openalex.org/W2133000644","https://openalex.org/W2137337872","https://openalex.org/W2158787087","https://openalex.org/W2166460790","https://openalex.org/W2167350925","https://openalex.org/W2167533178","https://openalex.org/W2169673198","https://openalex.org/W2950744038","https://openalex.org/W3104352286","https://openalex.org/W3104786498","https://openalex.org/W3203011645"],"related_works":["https://openalex.org/W2491094435","https://openalex.org/W2555766691","https://openalex.org/W3144747533","https://openalex.org/W1273699649","https://openalex.org/W2018197389","https://openalex.org/W2262919813","https://openalex.org/W1159917764","https://openalex.org/W2090312435","https://openalex.org/W2001296105","https://openalex.org/W2013479946"],"abstract_inverted_index":{"We":[0],"report":[1],"the":[2,37,43,59,80,100,113,130,133],"theory":[3],"and":[4,19,31,40,63,66,73,87,145],"experiment":[5],"of":[6,71,79,132],"a":[7,14,20,24,46,51,69,106],"new":[8],"time-delayed":[9],"chaotic":[10,136],"(hyperchaotic)":[11],"system":[12,41,44,60,75,81,98,101,114],"with":[13,36,142],"single":[15],"scalar":[16],"time":[17,110,134],"delay":[18,39,72,135],"nonlinearity":[21],"described":[22],"by":[23,84],"closed":[25],"form":[26],"mathematical":[27],"function.":[28],"Detailed":[29],"stability":[30],"bifurcation":[32],"analyses":[33],"establish":[34],"that":[35,58,129],"suitable":[38],"parameters,":[42,99],"shows":[45,102],"stable":[47],"limit":[48],"cycle":[49],"through":[50],"supercritical":[52],"Hopf":[53],"bifurcation.":[54],"Numerical":[55],"simulations":[56],"exemplify":[57],"depicts":[61],"mono-scroll":[62],"double-scroll":[64],"chaos":[65],"hyperchaos":[67,103],"for":[68,94,105],"range":[70],"other":[74],"parameters.":[76],"Nonlinear":[77],"behavior":[78,131],"is":[82,91,115,127],"characterized":[83],"Lyapunov":[85],"exponents":[86],"Kaplan\u2013Yorke":[88],"dimension.":[89],"It":[90,126],"established":[92],"that,":[93],"some":[95],"suitably":[96],"chosen":[97],"even":[104],"small":[107],"or":[108],"moderate":[109],"delay.":[111],"Finally,":[112],"implemented":[116],"in":[117],"an":[118],"analogue":[119],"electronic":[120,137],"circuit":[121,124,138],"using":[122],"off-the-shelf":[123],"elements.":[125],"shown":[128],"qualitatively":[139],"agrees":[140],"well":[141],"our":[143],"analytical":[144],"numerical":[146],"results.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
