Dynamics of Turing patterns under spatio-temporal forcing
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.
Cite
@article{arxiv.physics/0301079,
title = {Dynamics of Turing patterns under spatio-temporal forcing},
author = {S. Rudiger and D. G. Miguez and A. P. Munuzuri and F. Sagues and J. Casademunt},
journal= {arXiv preprint arXiv:physics/0301079},
year = {2009}
}
Comments
6 pages, 5 figures