Simulations of two Hookean springs connected to a frictionless body, which is treated as a point mass.
Spring constant, distance from center, spring equilibrium length and body mass are set to 1.

The separable Hamiltonian system has two degrees of freedom yielding chaotic motion for certain initial conditions.

0:00 multiple systems (2D display)
0:18 chaotic motion
0:35 regular motion
0:43 regular motion (almost singular)
0:50 regular motion
0:58 regular motion
1:16 Nonlinear resonance of previous orbit (2D display)

The simulation was simulated using high order explicit symplectic integrators and was rendered in real time.

🎵 "Sinister sky" remixed from "Died in your arms tonight" (Cutting Crew)

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