Resonance and Pattern Formation in a Reaction Diffusion System
We can observe the phenomenon of resonance in any
non-linear forced oscillator such as a pendulum. By confining an oscillatory
chemical reaction to two dimensions, we create a field of non-linear
oscillators. The oscillators are coupled by the diffusion of chemicals.
The reaction is light sensitive and when forced with spatially homogenous
light displays resonance features similar to that of a single oscillator.
An investigation of the 2:1 resonant tongue shows distinct spatial pattern
formation. These patterns are visually distinct and we investigate them
mathematically by examining the distribution of the phases of the field of
 V. Petrov, Q. Ouyang, and H.L. Swinney, Nature 388, 655 (1997)
 A. L. Lin, M. Bertram, K. Martinez, H. L. Swinney, A. Ardelea, and G.
F. Carey, Phy. Rev. Lett. 84, 4240-4243
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