PMID: 11308536Apr 20, 2001Paper

Resonant suppression of Turing patterns by periodic illumination

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Milos DolnikIrving R Epstein

Abstract

We study the resonant behavior of Turing pattern suppression in a model of the chlorine dioxide-iodine-malonic acid reaction with periodic illumination. The results of simulations based on integration of partial differential equations display resonance at the frequency of autonomous oscillations in the corresponding well stirred system. The resonance in Turing pattern suppression is sharper at lower complexing agent concentration and is affected by the waveform of the periodic driving force. Square wave (on-off) periodic forcing is more effective in suppressing Turing patterns than sinusoidal forcing. We compare the dynamics of periodically forced Turing patterns with the dynamics of periodically forced nonhomogeneous states in a system of two identical coupled cells. Bifurcation analysis based on numerical continuation of the latter system gives good predictions for the boundaries of the major resonance regions of the periodically forced patterns.

References

Jun 11, 1990·Physical Review Letters·V Castets De Kepper P
Sep 16, 2000·Physical Review Letters·A L LinG F Carey

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Citations

Jul 11, 2006·The Journal of Chemical Physics·Jichang Wang, Yu Chen
Sep 22, 2011·The Journal of Chemical Physics·Pushpita Ghosh, Deb Shankar Ray
Oct 4, 2006·Chaos·Lingfa YangIrving R Epstein
Sep 17, 2005·The Journal of Chemical Physics·Lin Ji, Qian Shu Li
Jul 23, 2004·The Journal of Chemical Physics·Qian Shu Li, Lin Ji
Jun 5, 2003·Chaos·M. AbelA. Vulpiani
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lingfa Yang, Irving R Epstein
Dec 12, 2001·Physical Review Letters·M DolnikI R Epstein
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Sanz-AnchelerguesA P Muñuzuri
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anna L LinHarry L Swinney
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David G MíguezAlberto P Muñuzuri
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chad M Topaz, Anne J Catllá
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Neubecker, O Jakoby
Mar 29, 2020·Physical Chemistry Chemical Physics : PCCP·Leonardo Silva-Dias, Alejandro Lopez-Castillo
Jun 15, 2011·Physical Chemistry Chemical Physics : PCCP·Milos DolnikIrving R Epstein
Apr 15, 2016·Physical Review. E·Shyamolina Ghosh, Deb Shankar Ray
Jun 25, 2020·Physical Review. E·Krishnendu PalDeb Shankar Ray
Apr 12, 2003·Physical Review Letters·S RüdigerJ Casademunt
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladimir K Vanag, Irving R Epstein
Jan 22, 2021·Journal of Mathematical Biology·Robert A Van GorderAndrew L Krause
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Teemu LeppänenKimmo Kaski
Jun 1, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qian Shu Li, Lin Ji
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pushpita GhoshDeb Shankar Ray
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shrabani SenDeb Shankar Ray
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pushpita Ghosh
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debojyoti Das, Deb Shankar Ray
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N C GiebinkC C Allen
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Changsong Zhou, Jürgen Kurths
Apr 12, 2006·Physical Review Letters·J P SharpeKarl Saunders
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei-Shen LiYuan-Zhi Shao
Jan 17, 2019·The Journal of Physical Chemistry. a·Raphael NagaoMilos Dolnik
Nov 9, 2021·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·C KonowI R Epstein

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