Existence of multibreathers in chains of coupled one-dimensional Hamiltonian oscillators

Abstract

We prove the existence of monoparametric families of multibreathers in chains of Hamiltonian oscillators of one degree of freedom, with the total energy of the chain as a parameter. At the same time we evaluate the neighborhood of the initial conditions for these solutions, as well as their stability. For the proof we use an idea originally proposed by Poincaré. We apply our results to calculate families of multibreathers in a chain consisting of coupled Morse oscillators.