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 …

We study the transport dynamics of matter-waves in the presence of disorder and
nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice …

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 …

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

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 …

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

We study properties of chaos in generic one-dimensional nonlinear Hamiltonian lattices
comprised of weakly coupled nonlinear oscillators by numerical simulations of continuous …

We study the scaling properties of energy spreading in disordered strongly nonlinear
Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear …

We study the diffusive behavior of a Bose polaron immersed in a coherently coupled two-
component Bose-Einstein Condensate (BEC). We assume a uniform, one-dimensional BEC …