The initialization of homoclinic orbits from a BT point has a long history. We refer in particular to [31], [32] and [1] where further references can be found.
Heteroclinic orbits can be treated in a similar way as homoclinic orbits. The routines for dealing with heteroclinic orbits are in the directory Heteroclinic.
The directories HomotopyHet, HomotopySaddle and HomotopySaddleNode are initialization directories in which homotopy methods are provided to initialize heteroclinic orbits, orbits homoclinic to saddle and orbits homoclinicto saddle-node, respectively. For details and examples we refer to [9].