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

TL;DR

This paper demonstrates how varying the impulse of non-harmonic periodic excitations can optimally generate stationary and moving discrete breathers in nonlinear oscillator networks, with implications for controlling energy localization.

Contribution

It introduces a method to control discrete breather generation by adjusting the impulse of periodic excitations, independent of amplitude and period, supported by theoretical and numerical evidence.

Findings

Increasing impulse facilitates breather generation

Impulse control affects breather action and energy

Method applies to nonlinear oscillator networks

Abstract

We study discrete breathers in prototypical nonlinear oscillator networks subjected to non-harmonic 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 show that 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.