Continuous flow · dim 3
Rössler
Otto Rössler's 1976 minimal chaotic ODE: only one nonlinearity (the xz product). Single-scroll attractor; the simplest known continuous-time chaotic system.
Equations
dx/dt = −y − z
dy/dt = x + a y
dz/dt = b + z (x − c)At a glance
| Parameters | a = 0.2, b = 0.2, c = 5.7 (classical) |
|---|---|
| Chaotic for | many parameter values; classical c = 5.7 |
| Lyapunov exponent | λ₁ ≈ 0.0714 (classical) |
| History | Rössler, 'An equation for continuous chaos', Phys. Lett. A (1976). |
Try it
Open the interactive playground at /tools/rossler.