Biomedical subjects
Publications and source records attributed to Vassilis Koukouloyannis.
We present a method of numerical calculation of multibreathers in Klein-Gordon chains. This method provides in advance the linear stability of the calculated multibreather solutions. We illustrate the method by calculating initial conditions for multibreathers in a chain of coupled Morse oscillators.
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.