2 research outputs found
Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
We numerically investigate the characteristics of chaos evolution during wave
packet spreading in two typical one-dimensional nonlinear disordered lattices:
the Klein-Gordon system and the discrete nonlinear Schr\"{o}dinger equation
model. Completing previous investigations \cite{SGF13} we verify that chaotic
dynamics is slowing down both for the so-called `weak' and `strong chaos'
dynamical regimes encountered in these systems, without showing any signs of a
crossover to regular dynamics. The value of the finite-time maximum Lyapunov
exponent decays in time as , with being different from the
value observed in cases of regular motion. In particular,
(weak chaos) and
(strong chaos) for both models, indicating the dynamical differences of the two
regimes and the generality of the underlying chaotic mechanisms. The
spatiotemporal evolution of the deviation vector associated with
reveals the meandering of chaotic seeds inside the wave packet, which is needed
for obtaining the chaotization of the lattice's excited part.Comment: 11 pages, 10 figure