Van der Pol oscillator

A nonlinear oscillator with a self-sustaining limit cycle — the amplitude-dependent damping term is where symbolic search earns its keep.

Discover

Recover the world from observations with a single deterministic command:

$ lawsynth discover vanderpol.csv --time t --state x,v --output van-der-pol.lsworld

Recovered law system

A clean run recovers the following continuous laws:

dx/dt = v
dv/dt = μ (1 − x²) v − x

Fitted parameters: μ ≈ 1.0.

Next

Inspect and use the bundle:

$ lawsynth explain van-der-pol.lsworld
$ lawsynth forecast van-der-pol.lsworld --horizon 40 --step 0.05 --output van-der-pol-forecast.csv
$ lawsynth report van-der-pol.lsworld --output van-der-pol.html