We investigate the existence of Intrinsic Localized Modes (ILMs) in nonlinear one-dimensional KleinGordon chains. We use the Lagrangian averaging approach parameterizing ILM by several slow-varying variables, and apply the averaging directly in the action principle. Our preliminary studies yield results for ILM dynamics in accordance with those obtained by other methods.

The separated electromagnetic responses RL(q, ω) and RT (q, ω) for inclusive electron scattering off nuclei are studied within a functional scheme.

The multiwindow approach is a meaningful framework for nonparametric spectral estimation. It also encompasses several conventional methods as WOSA and frequency-averaged periodogram. Recently, some authors claimed that the Slepian windows of the Thomson’s method and other related optimal sets of windows show a better performance in terms of resolution, variance and leakage. In this paper, that ...

Recent advances in stochastic optimization and regularized dual averaging approaches revealed a substantial interest for a simple and scalable stochastic method which is tailored to some more specific needs. Among the latest one can find sparse signal recovery and l0-based sparsity inducing approaches. These methods in particular can force many components of the solution shrink to zero thus cla...