Скачать или смотреть Lorenz Attractor Simulation

Animated 3D illustration of the Lorenz Attractor, modeled with five thousand spheres. The positions of the spheres represent the iterates of the Lorenz equations. The color changes from cool blue to warm orange by iteration count.

A frame from this video was contributed to illustrate the article "Chaos at fifty" by Adilson E. Motter and David K. Campbell in "Physics Today", May 2013.

The music - "Hungarian Dance No. 6 In D Major" by Johannes Brahms, Philharmonia Cassovia, audio swap from YouTube.

Equations:

dx/dt = Sigma (y - x); dy/dt = x (Rho - z) - y; dz/dt = xy - Beta z

Parameters:

Sigma=10, Rho=28, Beta=8/3.

Coded with Microsoft Visual C++, OpenGL rendering using Cinder (libcinder.org).