Robustness of non-reciprocal breathing solitons to disorder and noise

Characterize the stability of traveling non-reciprocal breathing solitons against structural disorder and stochastic noise in non-reciprocal active metamaterials, quantifying how imperfections and fluctuations affect their persistence, amplitude, and velocity.

Background

The demonstrated breathers rely on a fine balance between non-reciprocal gain and dissipation and precise initial conditions, governed by an unstable fixed point whose bifurcation controls long-lived behavior. Realistic systems inevitably include heterogeneity and noise, making robustness a key unresolved issue.

Understanding tolerance to disorder and noise is essential for scaling and deploying such nonlinear excitations in practical devices and complex media.