# Partial Phase Cohesiveness in Networks of Kuramoto Oscillator Networks

@article{Qin2019PartialPC, title={Partial Phase Cohesiveness in Networks of Kuramoto Oscillator Networks}, author={Yuzhen Qin and Yutaka Kawano and Oscar Portoles and Ming Cao}, journal={ArXiv}, year={2019}, volume={abs/1906.01065} }

Partial, instead of complete, synchronization has been widely observed in various networks including, in particular, brain networks. Motivated by data from human brain functional networks, in this technical note, we analytically show that partial synchronization can be induced by strong regional connections in coupled subnetworks of Kuramoto oscillators. To quantify the required strength of regional connections, we first obtain a critical value for the algebraic connectivity of the…

## 6 Citations

### Mediated Remote Synchronization: the Number of Mediators Matters

- Mathematics
- 2020

It is rigorously proved that mediated remote synchronization, i.e., synchronization between those n oscillators that are not directly connected, becomes more robust as the number of mediators increases.

### Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: The Number of Mediators Matters

- Computer ScienceIEEE Control Systems Letters
- 2021

This work rigorously proves thatmediated remote synchronization, i.e., synchronization between those <inline-formula> <tex-math notation="LaTeX">$n$ </tex- maths> oscillators that are not directly connected, becomes more robust as the number of mediators increases.

### Stability of cluster formations in adaptive Kuramoto networks

- Mathematics, Computer ScienceArXiv
- 2020

### Modulations of local synchrony over time lead to resting-state functional connectivity in a parsimonious large-scale brain model

- BiologybioRxiv
- 2021

A parsimonious large scale brain model that can capture progressive changes of local synchrony and local dynamics can be tuned with one parameter, which could be used not only to model resting-state, but also behavioural tasks.

### Partial Exponential Stability Analysis of Slow–Fast Systems via Periodic Averaging

- MathematicsIEEE Transactions on Automatic Control
- 2022

It is analytically show that detuning the natural frequency of the central mediating oscillator can increase the robustness of the remote synchronization against phase shifts and obtain a new converse Lyapunov theorem and some perturbation theorems for partially exponentially stable systems.

### Phase-amplitude coupling in neuronal oscillator networks

- Physics
- 2020

An interconnection structure for brain regions is proposed and it is demonstrated that low-frequency phase synchrony can integrate high-frequency activities regulated by local PAC and control the direction of information flow across distant regions.

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