xdze2/strange_attractor

exploration of Thomas strange attractor

Thomas' cyclically symmetric attractor

--> 3D interactive clouds using Potree: https://xdze2.github.io/chaotic-clouds/

Links and references

• http://rreusser.github.io Splendide visualization of different attractors using WebGL

• wikipedia page of Thomas' attractor

• Labyrinth Chaos, J. C. Sprott et al., 2007

• L’attracteur de Lorenz, paradigme du chaos - E. Ghys

Thomas' attractor

A simple equation, with only one parameter b:

dx/dt = sin(y) - bx
dy/dt = sin(z) - by
dz/dt = sin(x) - bz

Notebooks

• Test numba and optimization
• ODE solver test
• What value for coefficient b:

Zoom:

• To 3D and beyond

• A simple working version in Julia!