Halvorsen Attractor

The Halvorsen attractor is a 3-dimensional attractor produced by the following equation:

x_{n + 1} = x_{n} + (- a x_{n} - 4 y_{n} - 4 z_{n} - y_{n}^{2}) dt

y_{n + 1} = y_{n} + (- a y_{n} - 4 z_{n} - 4 x_{n} - z_{n}^{2}) dt

z_{n + 1} = z_{n} + (- a z_{n} - 4 x_{n} - 4 y_{n} - x_{n}^{2}) dt

Halvorsen attractor

Survey of the Halvorsen Attractor

Animated Halvorsen attractor

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