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[1]. An investigation of the 2:1 resonant tongue shows distinct spatial pattern formation[2]. These patterns are visually distinct and we investigate them mathematically by examining the distribution of the phases of the field of oscillators.