The Rössler Band
Plate 084 Physics Poster
Plate 84 speaks for itself: “Stretch, fold, repeat.”
The Physics
Rössler built the simplest smooth chaotic flow he could. Trajectories spiral outward, then the z term lifts and folds them back, making a single folded band.
ẋ = −y − z, ẏ = x + a y, ż = b + z(x − c)
- x, y, z: state variables, dimensionless
- a, b, c: parameters, dimensionless
a = b = 0.2, c = 5.7. A single folded band.
Sources
- O. E. Rössler, Phys. Lett. A 57, 397 (1976).
On the poster
Plate 084, “The Rössler Band”: the pixel-art plate with its slogan “Stretch, fold, repeat.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.
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Field notes
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