50 citations · 572 across the 42 of their papers we have counts for
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math.DS2013★ 3 cited
Motion in a symmetric potential on the hyperbolic plane
Manuele Santoprete, Jürgen Scheurle, Sebastian Walcher
We study the motion of a particle in the hyperbolic plane (embedded in Minkowski space), under the action of a potential that depends only on one variable. This problem is the anal…
math.DS2013★ 18 cited
Gravitational and harmonic oscillator potentials on surfaces of revolution
Manuele Santoprete
In this paper, we consider the motion of a particle on a surface of revolution under the influence of a central force field. We prove that there are at most two analytic central po…
math.DS2013★ 4 cited
On the Topology of the double spherical pendulum
Shengda Hu, Eduardo Leandro, Manuele Santoprete
This paper studies the topology of the constant energy surfaces of the double spherical pendulum.