We study the instability in Lyapunov's sense of an equilibrium point of a Hamiltonian system with n degrees of freedom for a broad class of potential energies. We will show that this kind of potential energies determine sucient conditions for the instability of this equilibrium point.

We study the instability in Lyapunov's sense of an equilibrium point of a Hamiltonian system with n degrees of freedom for a broad class of potential energies. We will show that this kind of potential energies determine sucient conditions for the instability of this equilibrium point.