Anderson localization and wave packet spreading have been studied in one-dimensional spatially inhomogeneous nonlinear oscillatory lattices. Probability lower bounds have been obtained for stability loss and break down of localized periodic and quasiperiodic trajectories in the phase space. They have been found to be different from zero for an arbitrarily small but finite nonlinearity (or, equivalently, energy). There is also a certain energy density threshold in the initial wave packet above which the localization is lost with probability 1. Analytical results are confirmed by extensive lattice dynamics simulation and studies on long time scales.
|
