Heteroclinic orbits (Het)

An orbit corresponding to a solution $u(t)$ is called heteroclinic if there exist equilibria $u_0, u_1, u_0 \neq u_1$ so that $u(t)
\rightarrow u_0$ as $t \rightarrow -\infty$ and $u(t)
\rightarrow u_1$ as $t \rightarrow \infty.$

Details on the continuation of heteroclinic orbits can be found in [19] and [8]. 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. Eamples of their use are relegated to the MATCONT GUI tutorials.