Literature DB >> 16089859

Turing instability controlled by spatiotemporal imposed dynamics.

David G Míguez1, Vicente Pérez-Villar, Alberto P Muñuzuri.   

Abstract

The study of the spatiotemporal response of pattern forming systems to spatially resonant external forcing has unveiled striking new phenomena which challenge the understanding of self-organization in nonlinear, nonequilibrium systems. Here we show that a simple spatiotemporal two-dimensional forcing of a system supporting an intrinsic wavelength but no intrinsic frequency, under conditions of spatial resonance, may induce complex and entirely new spatiotemporal behaviors which do not reflect in any simple way the structure of the imposed forcing. We demonstrate this phenomenon in the Turing regime of the (photosensitive) CDIMA reaction by projecting a traveling stripe light pattern onto the reactor. By controlling the velocity of the forcing we induce distinct dynamical regimes that express the externally imposed frequency in new and intriguing ways. A detailed analysis of the experimental relevant parameters is presented.

Year:  2005        PMID: 16089859     DOI: 10.1103/PhysRevE.71.066217

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  3 in total

1.  Chemical morphogenesis: recent experimental advances in reaction-diffusion system design and control.

Authors:  István Szalai; Daniel Cuiñas; Nándor Takács; Judit Horváth; Patrick De Kepper
Journal:  Interface Focus       Date:  2012-03-28       Impact factor: 3.906

2.  From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ.

Authors:  Andrew L Krause; Václav Klika; Thomas E Woolley; Eamonn A Gaffney
Journal:  J R Soc Interface       Date:  2020-01-15       Impact factor: 4.118

Review 3.  Modern perspectives on near-equilibrium analysis of Turing systems.

Authors:  Andrew L Krause; Eamonn A Gaffney; Philip K Maini; Václav Klika
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2021-11-08       Impact factor: 4.226

  3 in total

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