Discrete Breathers Close to the Anticontinuum Limit: Existence and Wave Scattering
نویسندگان
چکیده
The anticontinuum limit (i.e. the limit of weakly coupled oscillators) is used to obtain two surprising results. First we prove the continuation of discrete breathers of weakly interacting harmonic oscillators, provided a suitable coupling is chosen. Secondly we derive an analytical result for the wave transmission by a breather of the discrete nonlinear Schrödinger equation at weak coupling. We obtain a resonant full reflection due to a Fano resonance.
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