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Damped Oscillator

anypinn create my-project --template damped-oscillator

Harmonic oscillator with damping. Recovers damping ratio ζ from displacement observations.

Problem

Second-order ODE with learnable damping ratio ζ:

\[ \ddot{x} + 2\zeta\omega_0 \dot{x} + \omega_0^2 x = 0 \]

Features Demonstrated

  • Second-order ODE support via ODEProperties.order
  • Native higher-order initial condition enforcement (ODEProperties.dy0)
  • Scalar Parameter recovery

Results

Damped Oscillator results