- 96-400 Rothos V.M., Bountis T.
- Mel'nikov's Vector and Singularity Analysis of N DOF Hamiltonian Systems
Sep 7, 96
(auto. generated ps),
of related papers
Abstract. We investigate periodically perturbed, integrable 2 degree of freedom (d.o.f.)
Hamiltonian systems as a paradigm of the dynamics of 3 d.o.f. Hamiltonian
We derive the Mel'nikov vector, determining transversal intersections of the
invariant manifolds of a saddle fixed point of the associated (time-periodic)
map and investigate its connection with the breakdown of the Painlev\'e
property of the unperturbed solutions in complex time.