WOLFRAM|DEMONSTRATIONS PROJECT

Pattern Formation in the Kuramoto Model

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radius
2.
phase shift α
0.65
color function
Rainbow
Alpine
Sunset
Rust
Avocado
This Demonstration shows some decorative patterns that can arise in a two-dimensional Kuramoto model of coupled oscillators with a variable phase shift. The oscillators are coupled to their nearest neighbors within an adjustable radius on a grid with periodic boundary conditions. The image shown is determined by the phase shift of the oscillators after evolution of the system, starting with random phases.