Strange Attractors are WILD

Four chaotic attractors, numerically integrated and drawn as particle trails.

Lorenz — dx/dt = 10(y−x), dy/dt = x(28−z)−y, dz/dt = xy−8z/3
Rössler — dx/dt = −y−z, dy/dt = x+0.2y, dz/dt = 0.2+z(x−5.7)
Thomas — dx/dt = sin(y)−bx, symmetric in all three variables
Halvorsen — dx/dt = −ax−4y−4z−y²

Each trajectory is computed via RK4 integration and projected onto a 2D plane. Deterministic chaos — sensitive to initial conditions, confined to a strange attractor.

Made with Manim.

#math #chaos #lorenz #attractor #physics #differentialequations #animation #manim #derivia

Видео Strange Attractors are WILD канала Quantia