This paper studies a phase synchronization problem of the Kuramoto oscillator network model with timevarying coupling topology and stochastic interference, and proposes a fixed-time control method under event-triggered mechanism. A multi-layer event-triggered distributed control strategy is propose...
The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of non-equilibrium transitions between an incoherent and a synchronized state.A frequency-weighted network of Kuramoto oscillators is proposed,where the oscillators are asymmetrically coupled with the weights depending ...
This paper discusses the network synchronization with the Kuramoto phase oscillator being used as an individual node.The order parameter is taken as an index for scaling the network synchronizability.Firstly,the effect of the coupling strength is studied on the synchronizability of a BA scale-free ne...
Here, we consider a network of Kuramoto oscillators upon which the BTW model is unfolding, enabling us to study how the feedback between the oscillatory and cascading dynamics can lead to new emergent behaviors. We assume that the more out-of-sync a node is with its neighbors, the more ...
(with the natural frequency\omega _1) to the faster oscillator (with the natural frequency\omega _0) becomes disconnected, while the synapse associated with the directional link from a faster oscillator to the slower oscillator, reaches the maximum value\alpha. The instantaneous frequencies of the...
The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces ...
We also study analytically and numerically the Kuramoto model on star graphs and find that if the natural frequency of the central oscillator is sufficiently large in comparison to the average frequency of its neighbors, then synchronization emerges as a result of a first-order phase transition. ...
In this paper, we focus on the issue of fixed-time synchronization for Kuramoto-oscillator networks. To reduce control costs, two effective aperiodically intermittent control protocols for both identical and nonidentical oscillators are proposed, which closely align with practical applications. By employing...
The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces ...
Article Open access 25 October 2024 Limits on Anti-Phase Synchronization in Oscillator Networks Article Open access 23 June 2020 The efficiency of synchronization dynamics and the role of network syncreactivity Article Open access 18 October 2024 Introduction...