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Help needed in writing the Hamiltonian function

  1. Sep 18, 2009 #1
    Hi,

    I need some help in writing the Hamiltonian function for the following dynamical systems.

    1) u''+u=A (1+2*u+3*u^2)

    2) u''+u=A/((1-u)^2);

    In both cases A is a constant and u is a function of t.

    Any help would be greatly appreciated.

    Thank you.

    Manish
     
  2. jcsd
  3. Sep 18, 2009 #2

    Dale

    Staff: Mentor

    You can write out Lagrange's equations and integrate in order to solve for the Lagrangian. Then proceed in the usual manner to get the Hamiltonian.
     
  4. Sep 18, 2009 #3
    Hi Thanks Dalespam,

    Actually, I am facing trouble in solving certain dynamical system. You can refer to my new thread titled "Discrepancy in the solution of a nonlinear dynamical system".
     
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