Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks

Abstract

We study discrete breathers in prototypical nonlinear oscillator networks subjected to nonharmonic zero-mean periodic excitations. We show how the generation of stationary and moving discrete breathers are optimally controlled by solely varying the impulse transmitted by the periodic excitations, while keeping constant the excitation’s amplitude and period. Our theoretical and numerical results showthat the enhancer effect of increasing values of the excitation’s impulse, in the sense of facilitating the generation of stationary and moving breathers, is due to a correlative increase of the breather’s action and energy.