Route to logical strange nonchaotic attractors with single periodic force and noise

Route to logical strange nonchaotic attractors with single periodic force and noise

Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains an open problem....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2020-09, Vol.30 (9), p.093137-093137
Hauptverfasser: Sathish Aravindh, M., Venkatesan, A., Lakshmanan, M.
Format: Artikel
Sprache:eng
Schlagworte:
Attractors (mathematics)
Chaos theory
Dynamical systems
Logical elements
Nonlinear systems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 093137
container_issue 9
container_start_page 093137
container_title Chaos (Woodbury, N.Y.)
container_volume 30
creator Sathish Aravindh, M.
Venkatesan, A.
Lakshmanan, M.
description Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains an open problem. Here, we show that robust SNAs can be created by a small amount of noise in periodically driven nonlinear dynamical systems by a single force. The robustness of these attractors is tested by perturbing the system with logical signals, leading to the emulation of different logical elements in the SNA regions.
doi_str_mv 10.1063/5.0017725
format Article
fullrecord <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_proquest_miscellaneous_2448405155</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2444438808</sourcerecordid><originalsourceid>FETCH-LOGICAL-c360t-4fc69dd0e4104d8b6486121dd4423fc7fe71b54eb489cb7bede2ddf24d26e4103</originalsourceid><addsrcrecordid>eNp90EtLAzEQAOBFFKzVg_8g4EWFrUk22U2PUnxBQfBxDtk82pRtUpOs4r83S4uCgqcZZr4ZhimKUwQnCNbVFZ1AiJoG071ihCCblk3N8P6QU1IiCuFhcRTjCmaFKzoqnp98nzRIHnR-YaXoQExBuIUGzju5FD5ZCUTKNZl8iODDpiWI1i06DTY6WK9y3_ggNRBO5SEb9XFxYEQX9ckujovX25uX2X05f7x7mF3PS1nVMJXEyHqqFNQEQaJYWxNWI4yUIgRXRjZGN6ilRLeETWXbtFpprJTBROF6mKnGxfl27yb4t17HxNc2St11wmnfR44JYQRSRGmmZ7_oyvfB5esGRUjFGGRZXWyVDD7GoA3fBLsW4ZMjyIf3csp37832cmujtEkk6903fvfhB_KNMv_hv5u_ADfgiJ0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2444438808</pqid></control><display><type>article</type><title>Route to logical strange nonchaotic attractors with single periodic force and noise</title><source>American Institute of Physics (AIP) Journals</source><source>Alma/SFX Local Collection</source><creator>Sathish Aravindh, M. ; Venkatesan, A. ; Lakshmanan, M.</creator><creatorcontrib>Sathish Aravindh, M. ; Venkatesan, A. ; Lakshmanan, M.</creatorcontrib><description>Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains an open problem. Here, we show that robust SNAs can be created by a small amount of noise in periodically driven nonlinear dynamical systems by a single force. The robustness of these attractors is tested by perturbing the system with logical signals, leading to the emulation of different logical elements in the SNA regions.</description><identifier>ISSN: 1054-1500</identifier><identifier>EISSN: 1089-7682</identifier><identifier>DOI: 10.1063/5.0017725</identifier><identifier>CODEN: CHAOEH</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Attractors (mathematics) ; Chaos theory ; Dynamical systems ; Logical elements ; Nonlinear systems</subject><ispartof>Chaos (Woodbury, N.Y.), 2020-09, Vol.30 (9), p.093137-093137</ispartof><rights>Author(s)</rights><rights>2020 Author(s). Published under license by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-4fc69dd0e4104d8b6486121dd4423fc7fe71b54eb489cb7bede2ddf24d26e4103</citedby><cites>FETCH-LOGICAL-c360t-4fc69dd0e4104d8b6486121dd4423fc7fe71b54eb489cb7bede2ddf24d26e4103</cites><orcidid>0000-0002-9415-3635 ; 0000-0002-6683-7167 ; 0000-0001-6687-4251</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,790,4497,27903,27904</link.rule.ids></links><search><creatorcontrib>Sathish Aravindh, M.</creatorcontrib><creatorcontrib>Venkatesan, A.</creatorcontrib><creatorcontrib>Lakshmanan, M.</creatorcontrib><title>Route to logical strange nonchaotic attractors with single periodic force and noise</title><title>Chaos (Woodbury, N.Y.)</title><description>Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains an open problem. Here, we show that robust SNAs can be created by a small amount of noise in periodically driven nonlinear dynamical systems by a single force. The robustness of these attractors is tested by perturbing the system with logical signals, leading to the emulation of different logical elements in the SNA regions.</description><subject>Attractors (mathematics)</subject><subject>Chaos theory</subject><subject>Dynamical systems</subject><subject>Logical elements</subject><subject>Nonlinear systems</subject><issn>1054-1500</issn><issn>1089-7682</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp90EtLAzEQAOBFFKzVg_8g4EWFrUk22U2PUnxBQfBxDtk82pRtUpOs4r83S4uCgqcZZr4ZhimKUwQnCNbVFZ1AiJoG071ihCCblk3N8P6QU1IiCuFhcRTjCmaFKzoqnp98nzRIHnR-YaXoQExBuIUGzju5FD5ZCUTKNZl8iODDpiWI1i06DTY6WK9y3_ggNRBO5SEb9XFxYEQX9ckujovX25uX2X05f7x7mF3PS1nVMJXEyHqqFNQEQaJYWxNWI4yUIgRXRjZGN6ilRLeETWXbtFpprJTBROF6mKnGxfl27yb4t17HxNc2St11wmnfR44JYQRSRGmmZ7_oyvfB5esGRUjFGGRZXWyVDD7GoA3fBLsW4ZMjyIf3csp37832cmujtEkk6903fvfhB_KNMv_hv5u_ADfgiJ0</recordid><startdate>202009</startdate><enddate>202009</enddate><creator>Sathish Aravindh, M.</creator><creator>Venkatesan, A.</creator><creator>Lakshmanan, M.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-9415-3635</orcidid><orcidid>https://orcid.org/0000-0002-6683-7167</orcidid><orcidid>https://orcid.org/0000-0001-6687-4251</orcidid></search><sort><creationdate>202009</creationdate><title>Route to logical strange nonchaotic attractors with single periodic force and noise</title><author>Sathish Aravindh, M. ; Venkatesan, A. ; Lakshmanan, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-4fc69dd0e4104d8b6486121dd4423fc7fe71b54eb489cb7bede2ddf24d26e4103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Attractors (mathematics)</topic><topic>Chaos theory</topic><topic>Dynamical systems</topic><topic>Logical elements</topic><topic>Nonlinear systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sathish Aravindh, M.</creatorcontrib><creatorcontrib>Venkatesan, A.</creatorcontrib><creatorcontrib>Lakshmanan, M.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Chaos (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sathish Aravindh, M.</au><au>Venkatesan, A.</au><au>Lakshmanan, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Route to logical strange nonchaotic attractors with single periodic force and noise</atitle><jtitle>Chaos (Woodbury, N.Y.)</jtitle><date>2020-09</date><risdate>2020</risdate><volume>30</volume><issue>9</issue><spage>093137</spage><epage>093137</epage><pages>093137-093137</pages><issn>1054-1500</issn><eissn>1089-7682</eissn><coden>CHAOEH</coden><abstract>Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains an open problem. Here, we show that robust SNAs can be created by a small amount of noise in periodically driven nonlinear dynamical systems by a single force. The robustness of these attractors is tested by perturbing the system with logical signals, leading to the emulation of different logical elements in the SNA regions.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0017725</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-9415-3635</orcidid><orcidid>https://orcid.org/0000-0002-6683-7167</orcidid><orcidid>https://orcid.org/0000-0001-6687-4251</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1054-1500
ispartof Chaos (Woodbury, N.Y.), 2020-09, Vol.30 (9), p.093137-093137
issn 1054-1500
1089-7682
language eng
recordid cdi_proquest_miscellaneous_2448405155
source American Institute of Physics (AIP) Journals; Alma/SFX Local Collection
subjects Attractors (mathematics)
Chaos theory
Dynamical systems
Logical elements
Nonlinear systems
title Route to logical strange nonchaotic attractors with single periodic force and noise
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T22%3A18%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_scita&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Route%20to%20logical%20strange%20nonchaotic%20attractors%20with%20single%20periodic%20force%20and%20noise&rft.jtitle=Chaos%20(Woodbury,%20N.Y.)&rft.au=Sathish%20Aravindh,%20M.&rft.date=2020-09&rft.volume=30&rft.issue=9&rft.spage=093137&rft.epage=093137&rft.pages=093137-093137&rft.issn=1054-1500&rft.eissn=1089-7682&rft.coden=CHAOEH&rft_id=info:doi/10.1063/5.0017725&rft_dat=%3Cproquest_scita%3E2444438808%3C/proquest_scita%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2444438808&rft_id=info:pmid/&rfr_iscdi=true