Order & Chaos: Double Pendulum Grid

In the animated double pendulum grid below, the boundaries between order and chaos become visible, depending on the initial displacement angles Φ1 and Φ2 of the double pendulums at the start of the motion.
The 2500 double pendulums each have a different initial displacement: Along the horizontal axis, the angles Φ1 increase uniformly from -90° to +90°. The same applies to the vertical axis and angle Φ2. At the center of the grid, the red-colored double pendulum has an initial displacement of 0 for both angles, remaining at rest.
Around the center, the displacements are smaller, while towards the edges of the grid, they become larger. This visualization allows you to see where ordered structures appear and where chaotic regions emerge.