This paper investigates the stability issue of cluster synchronization manifold in networks of
diffusively-coupled nonlinear system with directed topology. It is assumed that each cluster …

This paper studies the problem of leaderless CC (cluster consensus) for second-order MAS
(multi-agent systems) with inherent nonlinearity under directed topology. Interactions among …

Amplitude death has the potential to suppress unwanted oscillations in various engineering
applications. However, in some engineering applications, such as dc microgrids, airfoil …

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 …

This article is concerned with the frequency synchronization of heterogeneous second-order
forced Kuramoto oscillator networks. Under this model, each second-order oscillator is …

This study explores the sufficient conditions for achieving synchronization in the third-order
one-axis generator models in modern power systems, characterized by the second-order …

In this article, we analyze the phase synchronization and frequency synchronization for the
bidirectionally coupled Kuramoto model under the effect of inertia. Unlike the classical …

This paper is to investigate synchronization theories of a two-group Kuramoto model and a
three-group Kuramoto model. In the settings of these models, every oscillator directly …

When various distributed generation (DG) technologies are integrated into an islanded AC
microgrid (MG), the system's heterogeneous characteristics make synchronizing all units …

The NCTS Topical Program Scientific computing is an interdisciplinary field that involves
mathematical theories, computational algorithms, and domain knowledge. While pursuing …