VMI Chaos Movie Theater

Animations of chaotic attactors in 3D from the Visual Math Institute, by Ralph H. Abraham.

Rossler's funnel attractor, rotation by 360 degrees From Rossler, 1977: x' = -y-z; y' = x+Ay, z' = Bx-Cz+xy A = 0.5, B = 0.4, C = 4.5 Rossler's funnel attractor, bifurcations with B From Rossler, 1976: x' = -y-z; y' = x+Ay, z' = B-Cz+xy A = 0.343, C = 9.75, and B declines from 0.5 to 0.1 in 40 steps Rossler's corkscrew attractor, rotation by 360 degrees From Rossler, 1977: x' = Ax -y -Bz; y' = x + 1.1, z' = z' = D(1-zz)(x+z)-z (D = 1/epsilon) A = 0.5, B = 5, D = 100/3: From Rossler, 1977: x' = -y-z; y' = x+Ay, z' = Bx-Cz+xy; A = 0.5, B = 0.4, C = 4.5
Rossler's funnel attractor, bifurcations with B From Rossler, 1976: x' = -y-z; y' = x+Ay, z' = B-Cz+xy A = 0.343, C = 9.75, and B declines from 0.5 to 0.1 in 40 steps Rossler's corkscrew attractor, rotation by 360 degrees From Rossler, 1977: x' = Ax -y -Bz; y' = x + 1.1, z' = z' = D(1-zz)(x+z)-z (D = 1/epsilon) A = 0.5, B = 5, D = 100/3: From Rossler, 1976: x' = -y-z; y' = x+Ay, z' = B-Cz+xy; A = 0.343, C = 9.75, and B declines from 0.5 to 0.1 in 40 steps
Rossler's corkscrew attractor, rotation by 360 degrees From Rossler, 1977: x' = Ax -y -Bz; y' = x + 1.1, z' = z' = D(1-zz)(x+z)-z (D = 1/epsilon) A = 0.5, B = 5, D = 100/3: From Rossler, 1977: x' = Ax -y -Bz; y' = x + 1.1, z' = z' = D(1-zz)(x+z)-z (D = 1/epsilon); A = 0.5, B = 5, D = 100/3

Revised 9 November 2014 by Ralph Abraham. <abraham@vismath.org>