With synchronization being one of nature's most ubiquitous collective behaviors, the field of
network synchronization has experienced tremendous growth, leading to significant …

Orthogonal group synchronization is the problem of estimating elements from the orthogonal
group given some relative measurements. The least-squares formulation is nonconvex. To …

A key challenge of nonlinear dynamics and network science is to understand how higher-
order interactions influence collective dynamics. Although many studies have approached …

Even after about 50 years of intensive research, the dynamics of oscillator populations
remain one of the most popular topics in nonlinear science. This Focus Issue brings together …

The Kuramoto model is a classical mathematical model in the field of nonlinear dynamical
systems that describes the evolution of coupled oscillators in a network that may reach a …

The present work is motivated by the need for robust, large-scale coherent states that can
play possible roles as quantum resources. A challenge is that large, complex systems tend …

We propose a Kuramoto model of coupled oscillators on a time-varying graph, whose
dynamics are dictated by a Markov process in the space of graphs. The simplest …

Finding the global minimum in complex networks while avoiding local minima is challenging
in many types of networks. We study the dynamics of complex human networks and …

Networks of coupled nonlinear oscillators have been used to model circadian rhythms,
flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other …

The orthogonal group synchronization problem, which focuses on recovering orthogonal
group elements from their corrupted pairwise measurements, encompasses examples such …