50 citations · 572 across the 42 of their papers we have counts for
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On the Global Dynamics of the Anisotropic Manev Problem
Florin Diacu, Manuele Santoprete
We study the global flow of the anisotropic Manev problem, which describes the planar motion of two bodies under the influence of an anisotropic Newtonian potential with a relativi…
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…
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…
Symmetric Periodic Solutions of the Anisotropic Manev Problem
Manuele Santoprete
We consider the Manev Potential in an anisotropic space, i.e., such that the force acts differently in each direction. Using a generalization of the Poincare' continuation method w…
Chaos in Black holes Surrounded by Electromagnetic Fields
Manuele Santoprete, Giampaolo Cicogna
In this paper we prove the occurence of chaos for charged particles moving around a Schwarzshild black hole, perturbed by uniform electric and magnetic fields. The appearance of ch…
Nonintegrability and Chaos in the Anisotropic Manev Problem
Florin Diacu, Manuele Santoprete
The anisotropic Manev problem, which lies at the intersection of classical, quantum, and relativity physics, describes the motion of two point masses in an anisotropic space under…