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We analyze the interaction between a pair of coupled chemical oscillators. Using singular perturbation techniques, we derive an equation that governs the time evolution of the phase shift, which is a measure of how much the oscillators are out of phase. This result is the key to understanding experimental observations on coupled reactor systems. In particular, our model accounts for synchronization, and its bifurcation into rhythm splitting.
John C. Neu (Mon,) studied this question.