Rössler Attractor

A chaotic system with beautiful spiral structure — colored by time

Rössler system: dx/dt = -y-z, dy/dt = x+ay, dz/dt = b+z(x-c). For a≈0.2, b≈0.2, c≈5.7: chaotic attractor with Lyapunov exponent λ₁≈0.07. The spiral structure emerges from stretching (outward spiral) and folding (z-injection). Colors cycle from violet (early) through blue, cyan, green, yellow to red (recent).