KS

Kuramoto-Sivashinsky (KS) system: the simplest (?) PDE admitting chaos.

Defined by:

u_t = -u*u_x - u_xx - u_xxxx

• See compare_schemes.py for a comparison of time-step integration schemes.
• See demo.py for further description.

Modules:

Name	Description
bocquet2019	Settings as in bocquet2019a.
compare_schemes	Compare integration time-stepping schemes for KS equation.
demo	Demonstrate the Kuramoto-Sivashinsky (KS) system.

Model(dt=0.25, DL=32, Nx=128)

Define step, x0, etc. Alternative schemes (step_XXX) also implemented.