The fixed-time synchronization and energy consumption of Kuramoto-oscillator networks
with multilayer distributed control are studied in this brief. In order to achieve fixed-time …

Motivated by current sharing in power networks, we consider a class of output consensus
(also called agreement) problems for nonlinear systems, where the consensus value is …

Cluster synchronization is of great importance for the normal functioning of numerous
technological and natural systems. Deviations from normal cluster synchronization patterns …

Kuramoto models (KMs) in scalar or high-dimensional form can describe the
synchronization phenomenon for large populations of coupled oscillators in networks of …

In this paper, an improved fixed-time dynamic event-triggered control scheme is developed
for solving the synchronization problem of Kuramoto-oscillator network models with and …

Cluster synchronization underlies various functions in the brain. Abnormal patterns of cluster
synchronization are often associated with neurological disorders. Deep brain stimulation …

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

Performing a cognitive task requires going through a sequence of functionally diverse
stages. Although it is typically assumed that these stages are characterized by distinct states …

Cross-frequency phase-amplitude coupling (PAC) describes the phenomenon where the
power of a high-frequency oscillation evolves with the phase of a low-frequency one. It has …

This article presents some new criteria for the partial exponential stability of a slow–fast
nonlinear system with a fast scalar variable using periodic averaging methods. Unlike …