Understanding homoclinic orbits

[thrillhouse86]

Hey all,

Can someone please tell me why is the trace of the Jacobian of an integrable hamiltonian system equall to zero on the homoclinic / seperatrix orbit ?

Cheers,
Thrillhouse

 

[thrillhouse86]

So for anyone who is interested this is infact a general property of Hamiltonian systems that the Trace of the Jacobian is zero.