Synchronization in the quaternionic Kuramoto model
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 …
{H} $. In case the coupling strength is strong, a sufficient condition of synchronization is …
On mathematical analysis of synchronization of bidirectionally coupled Kuramoto oscillators under inertia effect
SH Chen, CH Hsia - Nonlinear Analysis: Real World Applications, 2025 - Elsevier
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 …
bidirectionally coupled Kuramoto model under the effect of inertia. Unlike the classical …
Complete and Partial Synchronization of Two-Group and Three-Group Kuramoto Oscillators
SH Chen, CH Hsia, TY Hsiao - SIAM Journal on Applied Dynamical Systems, 2024 - SIAM
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 …
three-group Kuramoto model. In the settings of these models, every oscillator directly …
Stabilization for Stochastic Coupled Kuramoto Oscillators via Nonlinear Distributed Feedback Control
R Kang, S Gao - Mathematics, 2022 - mdpi.com
This paper investigates the stabilization for stochastic coupled Kuramoto oscillators (SCKOs)
via nonlinear distributed feedback control. An original nonlinear distributed feedback control …
via nonlinear distributed feedback control. An original nonlinear distributed feedback control …
Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems
G Dai, R Gao, C Zhang, Y Liu - Applicable Analysis, 2024 - Taylor & Francis
The synchronization of stochastic hybrid-impulses complex-valued multi-links coupled
systems (SHCMCS) based on discrete-time state observations control is studied. Therein …
systems (SHCMCS) based on discrete-time state observations control is studied. Therein …
Synchronization and Anti-Synchronization of Unidirectional and Bidirectional Coupled Chaotic Systems by Terminal Sliding Mode Control
In this chapter, the synchronization and anti-synchronization of coupled unidirectional and bi-
directional chaotic systems by terminal sliding mode control strategy are shown. The …
directional chaotic systems by terminal sliding mode control strategy are shown. The …