Rüdiger S, Míguez D G, Muñuzuri A P, Sagués F, Casademunt J
Departament E.C.M., Facultat de Física, Universitat de Barcelona, Avinguda Diagonal 647, 08028 Barcelona, Spain.
Phys Rev Lett. 2003 Mar 28;90(12):128301. doi: 10.1103/PhysRevLett.90.128301. Epub 2003 Mar 26.
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.
我们从理论和实验两方面研究了图灵模式对以控制参数行波调制形式存在的时空强迫的动力学响应。我们表明，从严格的空间共振出发，有可能诱导出新的、一般的动力学行为，包括时间调制行波和局域行波类孤子解。后者与库莱（Coullet）的孤子解[《物理评论快报》56, 724 (1986)]相关并对其进行了推广。通过数值方法确定了Lengyel-Epstein模型中不同传播模式的稳定性图。还报道了在光敏二氧化氯 - 碘 - 丙二酸反应中通过光调制进行的实验对预测解的直接观测结果。
