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 …

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 …

In this article, we are concerned with the synchronization problem of Kuramoto oscillators
under the sampled-data updating law. This article is motivated by the needs of …

To explore basin geometry in high-dimensional dynamical systems, we consider a ring of
identical Kuramoto oscillators. Many attractors coexist in this system; each is a twisted …

In dynamical systems, the full stability of fixed point solutions is determined by their basins of
attraction. Characterizing the structure of these basins is, in general, a complicated task …

In this paper, time and energy costs for achieving synchronization of the Kuramoto-oscillator
network with or without noise perturbation are investigated. In order to achieve …

We consider the effects of several forms of delays on the existence and stability of travelling
waves in non-locally coupled networks of Kuramoto-type phase oscillators and theta …

Many real-world systems of coupled agents exhibit directed interactions, meaning that the
influence of an agent on another is not reciprocal. Furthermore, interactions usually do not …

A ring of unidirectionally coupled phase oscillators is simple and easy to implement but not
suitable for application to central pattern generators (CPGs) owing to the presence of …

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex
systems via the architecture of their attractors and basins, we investigate the patterns of …