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  "body": "\n## Summary\n\nA Hamiltonian system is a dynamical system given by Hamilton's equations $q' = \\partial H / \\partial p$, $p' = -\\partial H / \\partial q$ for a function $H$ of positions and momenta.\nSuch systems model mechanical systems without friction, such as planetary systems. See the [[definition|0C2AKPDCD9]].\n\n## Remarks\n\nThe name honours William Rowan Hamilton.\n",
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