Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form ψ ∇ 2 ψ and ∣ ∇ ψ ∣ 2 . We briefly re...
Gespeichert in:
| Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 2007-09, Vol.17 (3), p.037103-037103-7 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 037103-7 |
|---|---|
| container_issue | 3 |
| container_start_page | 037103 |
| container_title | Chaos (Woodbury, N.Y.) |
| container_volume | 17 |
| creator | Kozyreff, G. Tlidi, M. |
| description | We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form
ψ
∇
2
ψ
and
∣
∇
ψ
∣
2
. We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems. |
| doi_str_mv | 10.1063/1.2759436 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_scitation_primary_10_1063_1_2759436</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>68333042</sourcerecordid><originalsourceid>FETCH-LOGICAL-c442t-32b4ecc5b0b7f350fe624bf956737bf98047df2617c1accc9dc660408a87d6713</originalsourceid><addsrcrecordid>eNqNkLtOwzAUhi0EoqUw8AIoExKIlOPYsZOBAVVAkRAMwMJiOY7dBiVxaydFfXvSi1QxgFjORec7__AhdIphiIGRazyMeJxSwvZQH0OShpwl0f5qjmmIY4AeOvL-EwBwROJD1MM8BQIY-ujj2dYL6QrZFLaWZeB0V16_CtOEYzvVdabdJNDzdn0PjHVBVtjSTgoly6tATXW1mWSdB3bWrJbAL32jK3-MDowsvT7Z9gF6v797G43Dp5eHx9HtU6gojZqQRBnVSsUZZNyQGIxmEc1MGjNOeNcToDw3EcNcYamUSnPFGFBIZMJzxjEZoPNN7szZeat9I6rCK12Wsta29YIlhBCgUQdebEDlrPdOGzFzRSXdUmAQK5ECi63Ijj3bhrZZpfMduTXXATcbwKuiWdv5Pe2nY7Fy3P1f_vv_L3hh3Q4Us9yQb3bdn0w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>68333042</pqid></control><display><type>article</type><title>Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems</title><source>MEDLINE</source><source>AIP Journals Complete</source><source>AIP Digital Archive</source><creator>Kozyreff, G. ; Tlidi, M.</creator><creatorcontrib>Kozyreff, G. ; Tlidi, M.</creatorcontrib><description>We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form
ψ
∇
2
ψ
and
∣
∇
ψ
∣
2
. We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems.</description><identifier>ISSN: 1054-1500</identifier><identifier>EISSN: 1089-7682</identifier><identifier>DOI: 10.1063/1.2759436</identifier><identifier>PMID: 17903010</identifier><identifier>CODEN: CHAOEH</identifier><language>eng</language><publisher>United States: American Institute of Physics</publisher><subject>Algorithms ; Biochemistry - methods ; Biological Clocks - physiology ; Computer Simulation ; Feedback - physiology ; Models, Biological ; Nonlinear Dynamics ; Optics and Photonics</subject><ispartof>Chaos (Woodbury, N.Y.), 2007-09, Vol.17 (3), p.037103-037103-7</ispartof><rights>American Institute of Physics</rights><rights>2007 American Institute of Physics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c442t-32b4ecc5b0b7f350fe624bf956737bf98047df2617c1accc9dc660408a87d6713</citedby><cites>FETCH-LOGICAL-c442t-32b4ecc5b0b7f350fe624bf956737bf98047df2617c1accc9dc660408a87d6713</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,790,1553,4498,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17903010$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Kozyreff, G.</creatorcontrib><creatorcontrib>Tlidi, M.</creatorcontrib><title>Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems</title><title>Chaos (Woodbury, N.Y.)</title><addtitle>Chaos</addtitle><description>We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form
ψ
∇
2
ψ
and
∣
∇
ψ
∣
2
. We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems.</description><subject>Algorithms</subject><subject>Biochemistry - methods</subject><subject>Biological Clocks - physiology</subject><subject>Computer Simulation</subject><subject>Feedback - physiology</subject><subject>Models, Biological</subject><subject>Nonlinear Dynamics</subject><subject>Optics and Photonics</subject><issn>1054-1500</issn><issn>1089-7682</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqNkLtOwzAUhi0EoqUw8AIoExKIlOPYsZOBAVVAkRAMwMJiOY7dBiVxaydFfXvSi1QxgFjORec7__AhdIphiIGRazyMeJxSwvZQH0OShpwl0f5qjmmIY4AeOvL-EwBwROJD1MM8BQIY-ujj2dYL6QrZFLaWZeB0V16_CtOEYzvVdabdJNDzdn0PjHVBVtjSTgoly6tATXW1mWSdB3bWrJbAL32jK3-MDowsvT7Z9gF6v797G43Dp5eHx9HtU6gojZqQRBnVSsUZZNyQGIxmEc1MGjNOeNcToDw3EcNcYamUSnPFGFBIZMJzxjEZoPNN7szZeat9I6rCK12Wsta29YIlhBCgUQdebEDlrPdOGzFzRSXdUmAQK5ECi63Ijj3bhrZZpfMduTXXATcbwKuiWdv5Pe2nY7Fy3P1f_vv_L3hh3Q4Us9yQb3bdn0w</recordid><startdate>20070901</startdate><enddate>20070901</enddate><creator>Kozyreff, G.</creator><creator>Tlidi, M.</creator><general>American Institute of Physics</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20070901</creationdate><title>Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems</title><author>Kozyreff, G. ; Tlidi, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c442t-32b4ecc5b0b7f350fe624bf956737bf98047df2617c1accc9dc660408a87d6713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Algorithms</topic><topic>Biochemistry - methods</topic><topic>Biological Clocks - physiology</topic><topic>Computer Simulation</topic><topic>Feedback - physiology</topic><topic>Models, Biological</topic><topic>Nonlinear Dynamics</topic><topic>Optics and Photonics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kozyreff, G.</creatorcontrib><creatorcontrib>Tlidi, M.</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Chaos (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kozyreff, G.</au><au>Tlidi, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems</atitle><jtitle>Chaos (Woodbury, N.Y.)</jtitle><addtitle>Chaos</addtitle><date>2007-09-01</date><risdate>2007</risdate><volume>17</volume><issue>3</issue><spage>037103</spage><epage>037103-7</epage><pages>037103-037103-7</pages><issn>1054-1500</issn><eissn>1089-7682</eissn><coden>CHAOEH</coden><abstract>We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form
ψ
∇
2
ψ
and
∣
∇
ψ
∣
2
. We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems.</abstract><cop>United States</cop><pub>American Institute of Physics</pub><pmid>17903010</pmid><doi>10.1063/1.2759436</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1054-1500 |
| ispartof | Chaos (Woodbury, N.Y.), 2007-09, Vol.17 (3), p.037103-037103-7 |
| issn | 1054-1500 1089-7682 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_2759436 |
| source | MEDLINE; AIP Journals Complete; AIP Digital Archive |
| subjects | Algorithms Biochemistry - methods Biological Clocks - physiology Computer Simulation Feedback - physiology Models, Biological Nonlinear Dynamics Optics and Photonics |
| title | Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T17%3A46%3A37IST&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=Nonvariational%20real%20Swift-Hohenberg%20equation%20for%20biological,%20chemical,%20and%20optical%20systems&rft.jtitle=Chaos%20(Woodbury,%20N.Y.)&rft.au=Kozyreff,%20G.&rft.date=2007-09-01&rft.volume=17&rft.issue=3&rft.spage=037103&rft.epage=037103-7&rft.pages=037103-037103-7&rft.issn=1054-1500&rft.eissn=1089-7682&rft.coden=CHAOEH&rft_id=info:doi/10.1063/1.2759436&rft_dat=%3Cproquest_scita%3E68333042%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=68333042&rft_id=info:pmid/17903010&rfr_iscdi=true |