Gauge theories of the Yang–Mills type are the single most important building block of the
standard model of particle physics and beyond. They are an integral part of the strong and …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

The celebrated Kuramoto model captures various synchronization phenomena in biological
and man-made dynamical systems of coupled oscillators. It is well known that there exists a …

Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of
equations, which is an important yet challenging problem. We translate this into an algebraic …

Finding vacua for the four‐dimensional effective theories for supergravity which descend
from flux compactifications and analyzing them according to their stability is one of the …

The stationary points (SPs) of a potential-energy landscape play a crucial role in
understanding many of the physical or chemical properties of a given system. However …

Synchronization in networks of interconnected oscillators is a fascinating phenomenon that
appears naturally in many independent fields of science and engineering. A substantial …

A bstract There is a rich interplay between algebraic geometry and string and gauge
theories which has been recently aided immensely by advances in computational algebra …

Training an artificial neural network involves an optimization process over the landscape
defined by the cost (loss) as a function of the network parameters. We explore these …

The stationary points of the potential energy function of the φ 4 model on a two-dimensional
square lattice with nearest-neighbor interactions are studied by means of two numerical …