Dynamics of Turing patterns under spatio-temporal forcing

Details Dynamics of Turing patterns under spatio-temporal forcing Dynamics of Turing patterns under spatio-temporal forcing

2003-01-31

arxiv.org/abs/physics/0301079v1

Physics

Chemical Physics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.90.128301

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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