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Critical points of a Hamiltonian system

  1. Aug 18, 2010 #1
    Hello. I'm studying for an ODE/PDE qualifier and I'm wondering how to do this problem. I feel like it should be pretty easy, but anyway..

    Show that a Hamiltonian system in [tex] \mathbb{R}^{2n} [/tex] has no asymptotically stable critical points.

    Any suggestions? Thanks..
  2. jcsd
  3. Aug 19, 2010 #2
    I think Liouville's theorem will put this through.
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