2 papers
nlin.CD2002
Mel'nikov method revisited
G. Cicogna, M. Santoprete
We illustrate a completely analytic approach to Mel'nikov theory, which is based on a suitable extension of a classical method, and which is parallel and -- at least in part -- com…
nlin.CD2002
Geometrical Obstruction to the Integrability of Geodesic Flows: an Application to the Anisotropic Kepler Problem
Manuele Santoprete
Resorting to classical techniques of Riemannian geometry we develop a geometrical method suitable to investigate the nonintegrability of geodesic flows and of natural Hamiltonian s…