Faster network disruption from layered oscillatory dynamics

TL;DR

This paper investigates how correlated noise influences the stability and escape times of nonlinear oscillators in layered complex networks, revealing that both fluctuation amplification and noise correlations can threaten network functionality.

Contribution

It demonstrates the impact of system-specific correlated noise on escape times in layered networks, highlighting the role of eigenmodes in network stability.

Findings

Correlated noise significantly reduces escape times.

Layered dynamics amplify fluctuations more than uncorrelated noise.

Spatial and temporal noise correlations affect network stability.

Abstract

Nonlinear complex network-coupled systems typically have multiple stable equilibrium states. Following perturbations or due to ambient noise, the system is pushed away from its initial equilibrium and, depending on the direction and the amplitude of the excursion, might undergo a transition to another equilibrium. It was recently demonstrated [M. Tyloo, J. Phys. Complex. 3 03LT01 (2022)], that layered complex networks may exhibit amplified fluctuations. Here I investigate how noise with system-specific correlations impacts the first escape time of nonlinearly coupled oscillators. Interestingly, I show that, not only the strong amplification of the fluctuations is a threat to the good functioning of the network, but also the spatial and temporal correlations of the noise along the lowest-lying eigenmodes of the Laplacian matrix. I analyze first escape times on synthetic networks and compare noise originating from layered dynamics, to uncorrelated noise.