Dynamics of Turing Patterns under Spatiotemporal Forcing

S. Rüdiger, D. G. Míguez, A. P. Muñuzuri, F. Sagués, and J. Casademunt
Phys. Rev. Lett. 90, 128301 – Published 26 March 2003

Abstract

We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatiotemporal forcing in the form of a traveling-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 traveling waves and localized traveling solitonlike solutions. The latter make contact with the soliton solutions of Coullet [Phys. Rev. Lett. 56, 724 (1986)] and generalize 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 chlorine dioxide-iodine-malonic acid reaction are also reported.

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  • Received 17 October 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.128301

©2003 American Physical Society

Authors & Affiliations

S. Rüdiger1,2, D. G. Míguez3, A. P. Muñuzuri3, F. Sagués4, and J. Casademunt1

  • 1Departament E.C.M., Facultat de Física, Universitat de Barcelona, Avinguda Diagonal 647, 08028 Barcelona, Spain
  • 2School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida 32306
  • 3Facultade de Física, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
  • 4Departament de Química Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain

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Issue

Vol. 90, Iss. 12 — 28 March 2003

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