It is demonstrated numerically that nonlinear localized excitations in the form of dissipative discrete breathers can be induced spontaneously through the mechanism of modulational instability in nonlinear magnetic metamaterials comprised of binary arrays of split-ring resonators. Specifically, a variety of high amplitude dissipative breathers can be produced by frequency chirping of the driving field, which concentrate a large portion of the total energy of the metamaterial within only a few lattice sites.
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