Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns
We present a detailed study of the reaction–diffusion patterns observed in the thiourea–iodate–sulfite (TuIS) reaction, operated in open one-side-fed reactors. Besides spatial bistability and spatio-temporal oscillatory dynamics, this proton autoactivated reaction shows stationary patterns, as a res...
Gespeichert in:
Veröffentlicht in: | Physica. D 2010-06, Vol.239 (11), p.776-784 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 784 |
---|---|
container_issue | 11 |
container_start_page | 776 |
container_title | Physica. D |
container_volume | 239 |
creator | Horváth, Judit Szalai, István De Kepper, Patrick |
description | We present a detailed study of the reaction–diffusion patterns observed in the thiourea–iodate–sulfite (TuIS) reaction, operated in open one-side-fed reactors. Besides spatial bistability and spatio-temporal oscillatory dynamics, this proton autoactivated reaction shows stationary patterns, as a result of two back-to-back Turing bifurcations, in the presence of a low-mobility proton binding agent (sodium polyacrylate). This is the third aqueous solution system to produce stationary patterns and the second to do this through a Turing bifurcation. The stationary pattern forming capacities of the reaction are explored through a systematic design method, which is applicable to other bistable and oscillatory reactions. The spatio-temporal dynamics of this reaction is compared with that of the previous ferrocyanide–iodate–sulfite mixed Landolt system. |
doi_str_mv | 10.1016/j.physd.2009.07.005 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_753745296</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S016727890900219X</els_id><sourcerecordid>753745296</sourcerecordid><originalsourceid>FETCH-LOGICAL-c401t-1d9438aea39ede43174c9a5199478b62ef79922a3972379a0ac48ac374ca1b2a3</originalsourceid><addsrcrecordid>eNp9kE1OwzAQhS0EEqVwAjbesWmC7SR1jMQCVfxJlUAC1tbEmaiu0iTYblF33IEbchJcypqFZWv8vTczj5BzzlLO-PRymQ6Lra9TwZhKmUwZKw7IiJdSJCUT4pCMIiUTIUt1TE68XzLGuMzkiAzPEAK6jja9W0GwfUdtR8MC47H92iF8f37ZvoaA8eHXbWMDUr_1AVdX9GWIEmhpZX2AyrY2bCf0AzboJxS6msbqzhLclg77Pv6UHDXQejz7u8fk7e72dfaQzJ_uH2c388TkjIeE1yrPSkDIFNaYZ1zmRkHBlcplWU0FNlIpIeK3FJlUwMDkJZgsYsCrWB-Ti73v4Pr3NfqgV9YbbFvosF97LYvIFkJNI5ntSeN67x02enB2FWfWnOldvHqpf-PVu3g1kzrGG1XXexXGJTYWnfbGYmewtg5N0HVv_9X_AMTtiPU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>753745296</pqid></control><display><type>article</type><title>Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns</title><source>Elsevier ScienceDirect Journals</source><creator>Horváth, Judit ; Szalai, István ; De Kepper, Patrick</creator><creatorcontrib>Horváth, Judit ; Szalai, István ; De Kepper, Patrick</creatorcontrib><description>We present a detailed study of the reaction–diffusion patterns observed in the thiourea–iodate–sulfite (TuIS) reaction, operated in open one-side-fed reactors. Besides spatial bistability and spatio-temporal oscillatory dynamics, this proton autoactivated reaction shows stationary patterns, as a result of two back-to-back Turing bifurcations, in the presence of a low-mobility proton binding agent (sodium polyacrylate). This is the third aqueous solution system to produce stationary patterns and the second to do this through a Turing bifurcation. The stationary pattern forming capacities of the reaction are explored through a systematic design method, which is applicable to other bistable and oscillatory reactions. The spatio-temporal dynamics of this reaction is compared with that of the previous ferrocyanide–iodate–sulfite mixed Landolt system.</description><identifier>ISSN: 0167-2789</identifier><identifier>EISSN: 1872-8022</identifier><identifier>DOI: 10.1016/j.physd.2009.07.005</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Bifurcations ; Bistability ; Design engineering ; Dynamical systems ; Dynamics ; Landolt reaction ; Nonlinear dynamics ; Pattern formation ; Reactors ; Sodium ; Symmetry breaking ; Turing pattern</subject><ispartof>Physica. D, 2010-06, Vol.239 (11), p.776-784</ispartof><rights>2009 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c401t-1d9438aea39ede43174c9a5199478b62ef79922a3972379a0ac48ac374ca1b2a3</citedby><cites>FETCH-LOGICAL-c401t-1d9438aea39ede43174c9a5199478b62ef79922a3972379a0ac48ac374ca1b2a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S016727890900219X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65534</link.rule.ids></links><search><creatorcontrib>Horváth, Judit</creatorcontrib><creatorcontrib>Szalai, István</creatorcontrib><creatorcontrib>De Kepper, Patrick</creatorcontrib><title>Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns</title><title>Physica. D</title><description>We present a detailed study of the reaction–diffusion patterns observed in the thiourea–iodate–sulfite (TuIS) reaction, operated in open one-side-fed reactors. Besides spatial bistability and spatio-temporal oscillatory dynamics, this proton autoactivated reaction shows stationary patterns, as a result of two back-to-back Turing bifurcations, in the presence of a low-mobility proton binding agent (sodium polyacrylate). This is the third aqueous solution system to produce stationary patterns and the second to do this through a Turing bifurcation. The stationary pattern forming capacities of the reaction are explored through a systematic design method, which is applicable to other bistable and oscillatory reactions. The spatio-temporal dynamics of this reaction is compared with that of the previous ferrocyanide–iodate–sulfite mixed Landolt system.</description><subject>Bifurcations</subject><subject>Bistability</subject><subject>Design engineering</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Landolt reaction</subject><subject>Nonlinear dynamics</subject><subject>Pattern formation</subject><subject>Reactors</subject><subject>Sodium</subject><subject>Symmetry breaking</subject><subject>Turing pattern</subject><issn>0167-2789</issn><issn>1872-8022</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kE1OwzAQhS0EEqVwAjbesWmC7SR1jMQCVfxJlUAC1tbEmaiu0iTYblF33IEbchJcypqFZWv8vTczj5BzzlLO-PRymQ6Lra9TwZhKmUwZKw7IiJdSJCUT4pCMIiUTIUt1TE68XzLGuMzkiAzPEAK6jja9W0GwfUdtR8MC47H92iF8f37ZvoaA8eHXbWMDUr_1AVdX9GWIEmhpZX2AyrY2bCf0AzboJxS6msbqzhLclg77Pv6UHDXQejz7u8fk7e72dfaQzJ_uH2c388TkjIeE1yrPSkDIFNaYZ1zmRkHBlcplWU0FNlIpIeK3FJlUwMDkJZgsYsCrWB-Ti73v4Pr3NfqgV9YbbFvosF97LYvIFkJNI5ntSeN67x02enB2FWfWnOldvHqpf-PVu3g1kzrGG1XXexXGJTYWnfbGYmewtg5N0HVv_9X_AMTtiPU</recordid><startdate>20100601</startdate><enddate>20100601</enddate><creator>Horváth, Judit</creator><creator>Szalai, István</creator><creator>De Kepper, Patrick</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20100601</creationdate><title>Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns</title><author>Horváth, Judit ; Szalai, István ; De Kepper, Patrick</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c401t-1d9438aea39ede43174c9a5199478b62ef79922a3972379a0ac48ac374ca1b2a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Bifurcations</topic><topic>Bistability</topic><topic>Design engineering</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Landolt reaction</topic><topic>Nonlinear dynamics</topic><topic>Pattern formation</topic><topic>Reactors</topic><topic>Sodium</topic><topic>Symmetry breaking</topic><topic>Turing pattern</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Horváth, Judit</creatorcontrib><creatorcontrib>Szalai, István</creatorcontrib><creatorcontrib>De Kepper, Patrick</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physica. D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Horváth, Judit</au><au>Szalai, István</au><au>De Kepper, Patrick</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns</atitle><jtitle>Physica. D</jtitle><date>2010-06-01</date><risdate>2010</risdate><volume>239</volume><issue>11</issue><spage>776</spage><epage>784</epage><pages>776-784</pages><issn>0167-2789</issn><eissn>1872-8022</eissn><abstract>We present a detailed study of the reaction–diffusion patterns observed in the thiourea–iodate–sulfite (TuIS) reaction, operated in open one-side-fed reactors. Besides spatial bistability and spatio-temporal oscillatory dynamics, this proton autoactivated reaction shows stationary patterns, as a result of two back-to-back Turing bifurcations, in the presence of a low-mobility proton binding agent (sodium polyacrylate). This is the third aqueous solution system to produce stationary patterns and the second to do this through a Turing bifurcation. The stationary pattern forming capacities of the reaction are explored through a systematic design method, which is applicable to other bistable and oscillatory reactions. The spatio-temporal dynamics of this reaction is compared with that of the previous ferrocyanide–iodate–sulfite mixed Landolt system.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.physd.2009.07.005</doi><tpages>9</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0167-2789 |
ispartof | Physica. D, 2010-06, Vol.239 (11), p.776-784 |
issn | 0167-2789 1872-8022 |
language | eng |
recordid | cdi_proquest_miscellaneous_753745296 |
source | Elsevier ScienceDirect Journals |
subjects | Bifurcations Bistability Design engineering Dynamical systems Dynamics Landolt reaction Nonlinear dynamics Pattern formation Reactors Sodium Symmetry breaking Turing pattern |
title | Pattern formation in the thiourea–iodate–sulfite system: Spatial bistability, waves, and stationary patterns |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-19T08%3A22%3A49IST&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=Pattern%20formation%20in%20the%20thiourea%E2%80%93iodate%E2%80%93sulfite%20system:%20Spatial%20bistability,%20waves,%20and%20stationary%20patterns&rft.jtitle=Physica.%20D&rft.au=Horv%C3%A1th,%20Judit&rft.date=2010-06-01&rft.volume=239&rft.issue=11&rft.spage=776&rft.epage=784&rft.pages=776-784&rft.issn=0167-2789&rft.eissn=1872-8022&rft_id=info:doi/10.1016/j.physd.2009.07.005&rft_dat=%3Cproquest_cross%3E753745296%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=753745296&rft_id=info:pmid/&rft_els_id=S016727890900219X&rfr_iscdi=true |