Lorenz¶

Systems · Continuous · Chaotic attractors

Lorenz (1963) strange attractor.

Dimension: 3 · Reference: Lorenz (1963), J. Atmos. Sci. 20, 130-141

Equations¶

\[ \begin{aligned} \dot{x} &= \sigma \left(- x + y\right) \\ \dot{y} &= \rho x - x z - y \\ \dot{z} &= - \beta z + x y \end{aligned} \]

Variables: x, y, z

import tsdynamics as ts

sys = ts.Lorenz()
traj = sys.integrate(final_time=100.0, dt=0.01)