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Dynamics of Turing patterns under spatio-temporal forcing

S. Rudiger·D. G. Miguez·A. P. Munuzuri·F. Sagues·J. Casademunt
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Abstract

We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter. We show that from strictly spatial resonance, it is possible to induce new, generic dynamical behaviors, including temporally-modulated travelling waves and localized travelling soliton-like solutions. The latter make contact with the soliton solutions of P. Coullet Phys. Rev. Lett. {\bf 56}, 724 (1986) and provide a general framework which includes them. The stability diagram for the different propagating modes in the Lengyel-Epstein model is determined numerically. Direct observations of the predicted solutions in experiments carried out with light modulations in the photosensitive CDIMA reaction are also reported.

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S. Rudiger, D. G. Miguez, A. P. Munuzuri, F. Sagues, J. Casademunt. 2003-01-31. Dynamics of Turing patterns under spatio-temporal forcing. https://doi.org/10.1103/physrevlett.90.128301

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