Design of coupling for synchronization in chaotic maps

We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2015-03, Vol.79 (4), p.2279-2286
Main Authors: Pal, Pinaki, Debroy, Sanghamitra, Mandal, Mrinal Kanti, Banerjee, Ranjib
Format: Article
Language:English
Subjects:
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Coupling
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Stability criteria
Synchronism
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3
cites cdi_FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3
container_end_page 2286
container_issue 4
container_start_page 2279
container_title Nonlinear dynamics
container_volume 79
creator Pal, Pinaki
Debroy, Sanghamitra
Mandal, Mrinal Kanti
Banerjee, Ranjib
description We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.
doi_str_mv 10.1007/s11071-014-1810-6
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2259461150</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2259461150</sourcerecordid><originalsourceid>FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3</originalsourceid><addsrcrecordid>eNp1kDtPwzAUhS0EEuXxA9gsMRvutWMnGVF5SpVYQOpmOY7TumrtYKdD-fWkChIT012-c87VR8gNwh0ClPcZEUpkgAXDCoGpEzJDWQrGVb08JTOoecGghuU5uch5AwCCQzUj6tFlvwo0dtTGfb_1YUW7mGg-BLtOMfhvM_gYqA_Urk0cvKU70-crctaZbXbXv_eSfD4_fcxf2eL95W3-sGBWVGpgpcWWOxSyFdaCaYpONLyqZWtANV1dua4wsrWNKmtleTH-Cq6V1jkl20qJRlyS26m3T_Fr7_KgN3GfwjipOZd1oRAljBROlE0x5-Q63Se_M-mgEfRRj5706FGPPurRaszwKZNHNqxc-mv-P_QDsrxnqw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2259461150</pqid></control><display><type>article</type><title>Design of coupling for synchronization in chaotic maps</title><source>Springer Nature</source><creator>Pal, Pinaki ; Debroy, Sanghamitra ; Mandal, Mrinal Kanti ; Banerjee, Ranjib</creator><creatorcontrib>Pal, Pinaki ; Debroy, Sanghamitra ; Mandal, Mrinal Kanti ; Banerjee, Ranjib</creatorcontrib><description>We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-014-1810-6</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Chaos theory ; Classical Mechanics ; Control ; Coupling ; Dynamical Systems ; Engineering ; Mechanical Engineering ; Original Paper ; Stability criteria ; Synchronism ; Vibration</subject><ispartof>Nonlinear dynamics, 2015-03, Vol.79 (4), p.2279-2286</ispartof><rights>Springer Science+Business Media Dordrecht 2014</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2014). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3</citedby><cites>FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Pal, Pinaki</creatorcontrib><creatorcontrib>Debroy, Sanghamitra</creatorcontrib><creatorcontrib>Mandal, Mrinal Kanti</creatorcontrib><creatorcontrib>Banerjee, Ranjib</creatorcontrib><title>Design of coupling for synchronization in chaotic maps</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.</description><subject>Automotive Engineering</subject><subject>Chaos theory</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Coupling</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><subject>Stability criteria</subject><subject>Synchronism</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp1kDtPwzAUhS0EEuXxA9gsMRvutWMnGVF5SpVYQOpmOY7TumrtYKdD-fWkChIT012-c87VR8gNwh0ClPcZEUpkgAXDCoGpEzJDWQrGVb08JTOoecGghuU5uch5AwCCQzUj6tFlvwo0dtTGfb_1YUW7mGg-BLtOMfhvM_gYqA_Urk0cvKU70-crctaZbXbXv_eSfD4_fcxf2eL95W3-sGBWVGpgpcWWOxSyFdaCaYpONLyqZWtANV1dua4wsrWNKmtleTH-Cq6V1jkl20qJRlyS26m3T_Fr7_KgN3GfwjipOZd1oRAljBROlE0x5-Q63Se_M-mgEfRRj5706FGPPurRaszwKZNHNqxc-mv-P_QDsrxnqw</recordid><startdate>20150301</startdate><enddate>20150301</enddate><creator>Pal, Pinaki</creator><creator>Debroy, Sanghamitra</creator><creator>Mandal, Mrinal Kanti</creator><creator>Banerjee, Ranjib</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20150301</creationdate><title>Design of coupling for synchronization in chaotic maps</title><author>Pal, Pinaki ; Debroy, Sanghamitra ; Mandal, Mrinal Kanti ; Banerjee, Ranjib</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Automotive Engineering</topic><topic>Chaos theory</topic><topic>Classical Mechanics</topic><topic>Control</topic><topic>Coupling</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Mechanical Engineering</topic><topic>Original Paper</topic><topic>Stability criteria</topic><topic>Synchronism</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pal, Pinaki</creatorcontrib><creatorcontrib>Debroy, Sanghamitra</creatorcontrib><creatorcontrib>Mandal, Mrinal Kanti</creatorcontrib><creatorcontrib>Banerjee, Ranjib</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pal, Pinaki</au><au>Debroy, Sanghamitra</au><au>Mandal, Mrinal Kanti</au><au>Banerjee, Ranjib</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of coupling for synchronization in chaotic maps</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2015-03-01</date><risdate>2015</risdate><volume>79</volume><issue>4</issue><spage>2279</spage><epage>2286</epage><pages>2279-2286</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-014-1810-6</doi><tpages>8</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0924-090X
ispartof Nonlinear dynamics, 2015-03, Vol.79 (4), p.2279-2286
issn 0924-090X
1573-269X
language eng
recordid cdi_proquest_journals_2259461150
source Springer Nature
subjects Automotive Engineering
Chaos theory
Classical Mechanics
Control
Coupling
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Stability criteria
Synchronism
Vibration
title Design of coupling for synchronization in chaotic maps
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T00%3A28%3A31IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Design%20of%20coupling%20for%20synchronization%20in%20chaotic%20maps&rft.jtitle=Nonlinear%20dynamics&rft.au=Pal,%20Pinaki&rft.date=2015-03-01&rft.volume=79&rft.issue=4&rft.spage=2279&rft.epage=2286&rft.pages=2279-2286&rft.issn=0924-090X&rft.eissn=1573-269X&rft_id=info:doi/10.1007/s11071-014-1810-6&rft_dat=%3Cproquest_cross%3E2259461150%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c386t-7c1d2e135d3cc0ab4f3b2895da06bf98ef4a5dcb6796c242690ed5cee65d863b3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2259461150&rft_id=info:pmid/&rfr_iscdi=true