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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12827

Dynamics of turing patterns under spatiotemporal forcing

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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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RÜDIGER, Sten, et al. Dynamics of turing patterns under spatiotemporal forcing. Physical Review Letters. 2003. Vol. 90, num. 12, pags. 128301-1-128301-4. ISSN 0031-9007. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/12827

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