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

The Shimizu-Morioka Attractor

Minimal Chaos

A simplified chaotic system with just two parameters, demonstrating the route to chaos through period-doubling bifurcations and butterfly-wing symmetry.

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dx/dt = y dy/dt = x - ay - xz dz/dt = x² - bz a = 0.850, b = 0.500
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