Diffusion-driven instability of topological signals coupled by the Dirac operator.
- PhysicsPhysical review. E
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.…
SHOWING 1-10 OF 31 REFERENCES
Desynchronization induced by time-varying network
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.
The synchronized dynamics of time-varying networks
- MathematicsPhysics Reports
Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies
- MathematicsSIAM J. Appl. Dyn. Syst.
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
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
Power-grid networks must be synchronized in order to function. A condition for the stability of the synchronous state enables identification of network parameters that enhance spontaneous…
The complex Ginzburg–Landau equation: an introduction
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
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.…
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