How Do You Write a Hamiltonian Function for Specific Dynamical Systems?

[dekarman]

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

 

[Dale]

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.

 

[dekarman]

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".