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Home/Math Visualization/Rössler Attractor

Rössler Attractor

This interactive simulator explores Rössler Attractor in Math Visualization. RK4 integration of ẋ=−y−z, ẏ=x+ay, ż=b+z(x−c); period-doubling cascade as c grows. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: For learners comfortable with heavier math or second-level detail. Typical context: Math Visualization.

Key terms

  • ssler
  • attractor
  • rossler attractor
  • math
  • visualization

Parameters

0.2
0.2
5.7
1

Projection

Presets

Measured values

x1.00
y1.00
z1.00
Lyapunov hint λ₁≈ +0.07 (chaotic)
attractor typestrange attractor

How it works

The Rössler system (1976) is a minimal 3-D ODE with a single quadratic nonlinearity *xz* — far simpler than Lorenz, yet it produces a smooth ribbon-like strange attractor at the canonical (a, b, c) = (0.2, 0.2, 5.7). As c grows, you can scroll through a textbook period-doubling cascade (period-1 → 2 → 4 → chaos): pick the presets to feel it. Integration is RK4 with adjustable step.

Key equations

ẋ = −y − z
ẏ = x + a y
ż = b + z (x − c)