# Understanding homoclinic orbits

1. Sep 27, 2009

### 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

2. Sep 28, 2009

### thrillhouse86

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