Classical Mechanics (Kibble & Berkshire) · Problem 14.10

The general theory of small oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · liouville-no-asymptotically-stable-equilibrium

Problem

In the theory of dynamical systems, a point is said to be an asymptotically stable equilibrium point if it `attracts' points in a nearby volume of the phase space. Show that such points cannot occur in Hamiltonian dynamics.

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