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Kolmogorov–Arnold–Moser theorem
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===Integrable Hamiltonian systems=== The KAM theorem is usually stated in terms of trajectories in [[phase space]] of an integrable [[Hamiltonian system]]. The motion of an [[integrable system]] is confined to an [[invariant torus]] (a [[doughnut]]-shaped surface). Different [[initial condition]]s of the integrable Hamiltonian system will trace different invariant [[torus|tori]] in phase space. Plotting the coordinates of an integrable system would show that they are quasiperiodic.
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