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Abstract: The existence and stability of discrete breathers DBs in one-dimensionaland two-dimensional magnetic metamaterials MMs, which consist of periodicarrangem ents arrays of split-ring resonators SRRs, is investigatednumerically. We consider different configurations of the SRR arrays, which arerelated to the relative orientation of the SRRs in the MM, both in one and twospatial dimensions. In the latter case we also consider anisotropic MMs. Usingstandard numerical methods we construct several types of linearly stablebreather excitations both in Hamiltonian and dissipative MMs dissipativebreathers. The study of stability in both cases is performed using standardFloquet analysi s. In both cases we found that the increase of dimensionalityfrom one to two spatial dimensions does not destroy the DBs, which may alsoexist in the case of moderate anisotropy in two dimensions. In dissipativeMMs, the dynamics is governed by a power balance between the mainly Ohmicdissipation and driving by an alternating magnetic field. In that case it isdemonstrated that DB excitation locally alters the magnetic response of MMsfrom paramagnetic to diamagnetic. Moreover, when the frequency of the appliedfield approaches the SRR resonance frequency, the magnetic response of the MMin the region of the DB excitation may even become negative extremediamagnetic.

Autor: M. Eleftheriou, N. Lazarides, G. P. Tsironis


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