Listening for chaos
Struck dynamical systems heard as sound while they decay. Work in progress.
- Double pendulumStrike it, watch and hear the motion turn regular as the energy decays; Lyapunov exponent and Poincaré section.
- FPUT chainA struck chain of N masses with cubic springs; energy spreading up the modes, Lyapunov exponent and Poincaré sections for N = 2 and 3.
- BeamA struck beam of N masses with bending stiffness and stretching: clamped, pinned or cantilever; inharmonic, cymbal-like overtones.
- PlateA struck square plate of N × N masses with bending stiffness and von Kármán stretching, simply supported, clamped or free; modes (m, n) at m² + n², pitch glides when struck hard.