Faster network disruption from layered oscillatory dynamics

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.

arXiv comment7 pages, 6 figures. Corrected x-axis for Figs. 3-6 and rescaling of the noise

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• Layered Complex Networks
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• The Size of the Sync Basin Revisited
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Cited by in corpus (2)

• Assessing the impact of Byzantine attacks on coupled phase oscillators
• Resilience of the slow component in timescale separated synchronized oscillators