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
\[\begin{aligned} \dot{x} &= \sigma (y - x)\\ \dot{y} &= x(\rho - z) - y \\ \dot{z} &= xy - \beta z \end{aligned}\]with \(\sigma = 10\), \(\beta = 8/3\), and \(\rho = 28\).
(Source code, png, hires.png, pdf)
- 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:
References
