95-97 Ichtiaroglou S., Meletlidou E.
The periodic Melnikov vector, the continuation of periodic orbits and a theorem on the non-integrability of perturbed Hamiltonians of n degrees of freedom. (18K, Latex) Feb 21, 95
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Abstract. The periodic Poincar\'e - Melnikov vector is defined for a perturbed Hamiltonian system with $n$ degrees of freedom of the form $H_0 + \varepsilon H_1$ and its relation to the bifurcation of periodic orbits and the non- integrability of the perturbed system is investigated.

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