function lorenz_system

deeptime.data.lorenz_system(h: float = 2e-05, n_steps: int = 100)

The Lorenz system. [1]

It lives in three dimensions and is generated by the dynamical system

x˙=σ(y−x)y˙=x(ρ−z)−yz˙=xy−βz\begin{aligned} \dot{x} &= \sigma (y - x)\\ \dot{y} &= x(\rho - z) - y \\ \dot{z} &= xy - \beta z \end{aligned}

with σ=10\sigma = 10, β=8/3\beta = 8/3, and ρ=28\rho = 28.

(Source code, png, hires.png, pdf)

../../_images/plot_lorenz_system.png
Parameters:

  • h (float) – Step size for the integrator.

  • n_steps (int) – Number of integration steps per evaluation / recording of the state.

Returns:

system – The system.

Return type:

TimeIndependentSystem

References