Continuous flow · dim 4

Hyperchaotic Rössler

Rössler's 4D extension with two positive Lyapunov exponents (hyperchaos). Geometrically the trajectory expands along two unstable directions at once.

Hyperchaotic Rössler (4-D), projected to 3-D for display.

Equations

dx/dt = −y − z
dy/dt = x + a y + w
dz/dt = b + x z
dw/dt = −c z + d w

Parameters	a = 0.25, b = 3, c = 0.5, d = 0.05 (classical)
Chaotic for	around classical parameters
History	Rössler (1979).

Open the interactive playground at /tools/rossler.