  In the scalar case, the nondegeneracy of heteroclinic orbits is a well-known
property, commonly used in problems involving nonlinear elliptic, parabolic or
hyperbolic P.D.E. On the other hand, Schatzman proved that in the vector case
this assumption is generic, in the sense that for any potential
$W:\mathbb{R}^m\to\mathbb{R}$, $m\geq 2$, there exists an arbitrary small
perturbation of $W$, such that for the new potential minimal heteroclinic
orbits are nondegenerate. However, to the best of our knowledge, nontrivial
explicit examples of such potentials are not available. In this paper, we prove
the nondegeneracy of heteroclinic orbits for potentials $W:\mathbb{R|^2\to
[0,\infty)$ that can be written as $W(z)=|f(z)|^2$, with $f:\mathbb{C} \to
\mathbb{C}$ a holomorphic function.
