Action-angle coordinates

Layer 0 — Mathematicsin the symplectic-geometry subtree

Canonical coordinates (I, θ) on an integrable system in which the Hamiltonian depends only on the actions I: dθ/dt = ∂H/∂I = ω(I), dI/dt = 0. The actions are period integrals; the angles linearise the flow on invariant tori.

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