Construction of the discrete breathers and a simple physical interpretation of their existence

Abstract

We present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration. It can be used for obtaining exact breather solutions in nonlinear Hamiltonian lattices of different types. We illustrate the above method using chains of the coupled Duffng oscillators. With some additional approximation, the pair synchronization method leads to a very simple physical interpretation of the existence of the exact breathers as strictly time-periodic and spatially localized dynamical objects.