In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

Edges, binding together nodes within networks, have the potential to induce dramatic
transitions when specific collective failure behaviors emerge. These changes, initially …

In a system of heterogeneous (Abelian) Kuramoto oscillators with random or'frustrated'
interactions, transitions from states of incoherence to partial synchronization were observed …

The synchronization modes of a nonlinear oscillator system consisting of three identical
flickering buoyant diffusion flames in isosceles triangles were studied experimentally and …

We present an exact dimensionality reduction for dynamics of an arbitrary array of globally
coupled complex-valued Riccati equations. It generalizes the Watanabe-Strogatz theory …

In recent years, ensuring stability in power networks has posed a significant challenge for
network control engineers, primarily due to the substantial growth in power demand and the …

In this paper, we propose an $ N $ oscillators Kuramoto model with quaternions $\mathbb
{H} $. In case the coupling strength is strong, a sufficient condition of synchronization is …

The Kuramoto model and its generalizations have been broadly employed to characterize
and mechanistically understand various collective dynamical phenomena, especially the …

The interplay between order and disorder is crucial across various fields, especially in
understanding oscillatory phenomena. Periodic oscillations are frequently observed in …

Time-resolved functional connectivity (trFC) assesses the time-resolved coupling between
brain regions using functional magnetic resonance imaging (fMRI) data. This study aims to …