We discuss recent advances in the understanding of the dynamics of nonlinear lattice waves
in heterogeneous media, which enforce complete wave localization in the linear wave …

The subject of this study is the long-time equilibration dynamics of a strongly disordered one-
dimensional chain of coupled weakly anharmonic classical oscillators. It is shown that chaos …

The microcanonical Gross-Pitaevskii (also known as the semiclassical Bose-Hubbard)
lattice model dynamics is characterized by a pair of energy and norm densities. The grand …

Do nonlinear waves destroy Anderson localization? Computational and experimental
studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics and …

The nonlinear Schrödinger equation (NLSE) with a random potential is motivated by
experiments in optics and in atom optics and is a paradigm for the competition between the …

We numerically investigate the characteristics of chaos evolution during wave-packet
spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon …

This book introduces and explores modern developments in the well established field of
Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the …

We investigate the computational performance of various numerical methods for the
integration of the equations of motion and the variational equations for some typical classical …

In linear disordered systems Anderson localization makes any wave packet stay localized
for all times. Its fate in nonlinear disordered systems (localization versus propagation) is …

Abstract Implementing the Generalized Alignment Index (GALI) method of chaos detection
we investigate the dynamical behavior of the nonlinear disordered Klein–Gordon lattice …