  Do nonlinear waves destroy Anderson localization? Computational and
experimental studies yield subdiffusive nonequilibrium wave packet spreading.
Chaotic dynamics and phase decoherence assumptions are used for explaining the
data. We perform a quantitative analysis of the nonequilibrium chaos
assumption, and compute the time dependence of main chaos indicators - Lyapunov
exponents and deviation vector distributions. We find a slowing down of chaotic
dynamics, which does not cross over into regular dynamics up to the largest
observed time scales, still being fast enough to allow for a thermalization of
the spreading wave packet. Strongly localized chaotic spots meander through the
system as time evolves. Our findings confirm for the first time that
nonequilibrium chaos and phase decoherence persist, fueling the prediction of a
complete delocalization.
