We present a partial review of results concerning the theory of Discrete Breathers in
nonlinear hamiltonian and discrete systems. These special time-periodic solutions gained …

In the present work, we attempt a brief summary of various areas where non-linear waves
have been emerging in the phenomenology of lattice dynamical systems. These areas …

In this work, we present a mechanical example of an experimental realization of a stability
reversal between on-site and intersite centered localized modes. A corresponding …

Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather
excitations in various media. We argue that these requirements are met in the forced …

In this article we perform a thorough analysis of breathers in a one-dimensional model for a
layered silicate for which there exists fossil and experimental evidence of moving excitations …

Small-amplitude weakly coupled oscillators of the Klein–Gordon lattices are approximated
by equations of the discrete nonlinear Schrödinger type. We show how to justify this …

Discrete breathers are ubiquitous structures in nonlinear anharmonic models ranging from
the prototypical example of the Fermi-Pasta-Ulam model to Klein-Gordon nonlinear lattices …

We prove a general criterion of spectral stability of multi-site breathers in the discrete Klein–
Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site …

Localized excitations have been at the heart of developments of nonlinear dynamics (and
especially of nonlinear complex systems) during the past few decades. Their names may …

In this paper, a theorem, which determines the linear stability of multibreathers excited over
adjacent coupled oscillators in Klein–Gordon chains, is proven. Specifically, it is shown that …