Comment on "Synchronization dynamics in non-normal networks: the trade-off for optimality"

TL;DR

This paper reviews recent research on how non-normal network structures influence synchronization, showing that non-normality often reduces the basin of attraction for synchronized states, which impacts network stability.

Contribution

It provides numerical evidence that non-normal Laplacian matrices tend to decrease the basin of attraction for synchronization compared to normal matrices.

Findings

Non-normal networks have smaller basins of attraction for synchronization.

Numerical evidence supports the impact of non-normality on synchronization stability.

Review of recent literature on non-normal network effects.

Abstract

We review some of the recent literature, including Refs. [1-3], on the effects of non-normality on the synchronization of networks of oscillators, and provide numerical evidence that the basin of attraction about the synchronous solution is typically smaller for networks with non-normal Laplacian matrix, compared to networks with a normal Laplacian matrix.