Understanding homoclinic orbits

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thrillhouse86
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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
 
So for anyone who is interested this is infact a general property of Hamiltonian systems that the Trace of the Jacobian is zero.