Elimination of Breathing Spiral Waves in the Aliev–Panfilov Model

We study spiral waves in an annulus with the Aliev–Panfilov model. The spiral pattern exhibits a regular breathing motion in a certain parameter range. A time-periodic force is applied for the elimination of spiral waves. The defibrillation becomes most effective if the period of the sinusoidal force is suitably chosen near the resonance condition. Next, we investigate a delayed feedback method for the elimination of spiral waves. The feedback method is effective because the feedback force oscillates with the breathing period and the resonance effect works naturally.

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