## One Citation

### Diffusion-driven instability of topological signals coupled by the Dirac operator.

- PhysicsPhysical review. E
- 2022

The study of reaction-diffusion systems on networks is of paramount relevance for the understanding of nonlinear processes in systems where the topology is intrinsically discrete, such as the brain.…

## References

SHOWING 1-10 OF 31 REFERENCES

### Desynchronization induced by time-varying network

- Physics
- 2018

This result is formally obtained by proving an extended version of the averaging theorem, which allows for partial averages to be carried out and reports oscillation death to follow the onset of the network-driven instability.

### Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies

- MathematicsSIAM J. Appl. Dyn. Syst.
- 2006

It is shown that a time-varying network could propagate sufficient in a discrete-time model to model the response of the immune system to disease.

### Turing patterns on networks

- Computer Science
- 2008

Numerical simulations demonstrate that theal, asymptotically reached Turing patterns can be largely separated from the critical modes at the onset of instability, and multistability and hysteresis are typically observed.

### Spontaneous synchrony in power-grid networks

- EngineeringNature Physics
- 2013

An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been…

### The complex Ginzburg–Landau equation: an introduction

- Physics
- 2012

The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear equation in physics, describes generically the dynamics of oscillating, spatially extended systems close to the…

### Time-varying Bose–Einstein condensates

- PhysicsProceedings of the Royal Society A
- 2021

Bose–Einstein condensates (BECs), a state of matter formed when a low-density gas of bosons is cooled to near absolute zero, continue to motivate novel work in theoretical and experimental physics.…

### Chemical oscillations

- Physics
- 2006

A chemical reaction is usually thought of as coming together of reactant molecules to form products. The concentrations of initial components (reactants) decrease, and concentrations of products…

### Proceedings of the Royal Society A 477

- 20200753
- 2021