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Controlling Spiral Waves by Modulations Resonant with the Intrinsic System Mode

We investigate the spiral wave control in the two-dimensional complex Ginzburg–Landau equation. External drivings which are not resonant with spiral waves but with intrinsic system modes are used to successfully annihilate spiral waves and direct the system to various target states. The novel control mechanism is intuitively explained and the richness and flexibility the control results are emphasized.