Toda Lattice

N particles: 8 Coupling α: 1.0 Initial kick: 2.0 Speed: 1.0

Conserved quantities (Lax):

H = —

I₂ = —

I₃ = —

Eigenvalues of L stable ✓

Toda lattice: Hₙ = Σ pₙ²/2 + e^(qₙ-qₙ₊₁). Integrable via Lax pair L,M: dL/dt = [M,L]. Eigenvalues of L = conserved quantities. Soliton-like pulses scatter elastically.