Strange AttractorsHalvorsen›
  • Lorenz
  • Rössler
  • Thomas
  • Aizawa
  • Dadras
  • Halvorsen
  • Chen
  • Burke-Shaw
  • Chen-Lee
  • TSUCS1
  • Shimizu-Morioka
  • Finance
  • Rikitake
  • Rucklidge
  • Bouali
  • Wang-Sun

The Halvorsen Attractor

Symmetric Wings

A cyclically symmetric chaotic system exhibiting three-fold rotational symmetry through coupled nonlinear differential equations with quadratic terms.

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dx/dt = -ax - 4y - 4z - y² dy/dt = -ay - 4z - 4x - z² dz/dt = -az - 4x - 4y - x² a = 1.600
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