On the computation of heteroclinic orbits in dynamical systems

A heteroclinic orbit is generally a trajectory which connects one saddle point to another saddle point. Heteroclinic orbits in dynamical systems are of interest since the system at this point may be structurally unstable although there are cases where it is structurally stable. In this paper we review methods of computing these orbits with application to a power system example. Extensions of this concept in the context of computing the region of attraction in transient stability are indicated