Generation of localized modes in an electrical lattice using subharmonic driving

Abstract

We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably produced (and experimentally observed) via subharmonic, spatially homogenous driving in the context of a nonlinear electrical lattice. The precise nonlinear spatial response of the system has been seen to depend on the relative location in frequency between the driver frequency, $\omega_d$, and the bottom of the linear dispersion curve, $\omega_0$. If $\omega_d / 2$ lies just below $\omega_0$, then a single ILM can be generated in a 32-node lattice, whereas when $\omega_d / 2$ lies within the dispersion band, a spatially extended waveform resembling a train of ILMs results. To our knowledge, and despite its apparently broad relevance, such an experimental observation of subharmonically driven ILMs has not been previously reported.