ON THE RECIPROCAL OF THE DIRICHLET-LAGRANGE THEOREM
Keywords:Stability of Lyapunov, Hamiltonian Systems, Dirichlet-Lagrange theorem, Cetaev's theorem
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.
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