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Equivariant KAM Theorem
In integrable Hamiltonian systems solution curves in phase space are confined to invariant tori. These integrable systems are often used as first approximations to other more complicated nonintegrable systems. KAM (Kolmogorov, Arnold, Moser) theory is a set of theorems that detail under what conditions these nonintegrable systems will preserve the invariant tori. If an integrable […]
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