most citedConvex Four Body Central Configurations with Some Equal Masses

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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…