Bulk and surface magnetoinductive breathers in binary metamaterials
arXiv:0905.4474 · doi:10.1103/PhysRevE.80.046605
Abstract
We study theoretically the existence of bulk and surface discrete breathers in a one-dimensional magnetic metamaterial comprised of a periodic binary array of split-ring resonators. The two types of resonators differ in the size of their slits and this leads to different resonant frequencies. In the framework of the rotating-wave approximation (RWA) we construct several types of breather excitations for both the energy-conserved and the dissipative-driven systems by continuation of trivial breather solutions from the anticontinuous limit to finite couplings. Numerically-exact computations that integrate the full model equations confirm the quality of the RWA results. Moreover, it is demonstrated that discrete breathers can spontaneously appear in the dissipative-driven system as a results of a fundamental instability.
10 pages, 16 figures
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Cited by in corpus (9)
- Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
- Discrete dissipative localized modes in nonlinear magnetic metamaterials
- Multistability and localization in coupled nonlinear split-ring resonators
- Bounded dynamics of finite PT-symmetric magnetoinductive arrays
- Fractional dynamics in nonlinear magnetic metamaterials
- Magnetic metamaterials with correlated disorder
- The nonlinear magnetoinductive dimer
- Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials
- Compact modes in quasi one dimensional coupled magnetic oscillators