The primary goal in the analysis of hierarchical distributed monitoring and control architectures is to study spatiotemporal patterns interactions between areas or subsystems. In this paper, a novel conceptual framework for power system oscillations using multi-block principal component (MB-PCA) higher-order singular value decomposition (HOSVD) proposed understand, characterize, visualize globa...

We first report the first- and higher-order vector Peregrine solitons (alias rational rogue waves) for any multi-component NLS equations based on loop group theory, an explicit (n + 1)-multiple eigenvalue of a characteristic polynomial degree 1) related to condition Benjamin-Feir instability, inverse functions. Particularly, these waves are parity-time symmetric some parameter constraints. A sy...

A two-component superconductor may hypothetically support a vestigial order phase above its superconducting transition temperature, with rotational or time-reversal symmetry spontaneously broken while remaining nonsuperconducting. This has been suggested as an explanation for the observed normal state nematicity of nematic ${M}_{x}{\mathrm{Bi}}_{2}{\mathrm{Se}}_{3}$. We examine condition this t...