Stability of non-time-reversible phonobreathers

TL;DR

This paper investigates the stability of non-time-reversible phonobreathers in coupled oscillator chains, combining analytical methods and numerical analysis to understand their existence and stability across various parameters.

Contribution

It provides the first analytical stability analysis of non-time-reversible phonobreathers using the multibreather stability theorem, supported by comprehensive numerical validation.

Findings

Analytical stability conditions for low-coupling phonobreathers.

Numerical confirmation of stability predictions.

Detailed characterization of existence and stability across frequencies and couplings.

Abstract

Non-time reversible phonobreathers are non-linear waves that can transport energy in coupled oscillator chains by means of a phase-torsion mechanism. In this paper, the stability properties of these structures have been considered. It has been performed an analytical study for low-coupling solutions based upon the so called {\em multibreather stability theorem} previously developed by some of the authors [Physica D {\bf 180} 235]. A numerical analysis confirms the analytical predictions and gives a detailed picture of the existence and stability properties for arbitrary frequency and coupling.