The Dynamics of Pendulums on Surfaces of Constant Curvature
نویسندگان
چکیده
In [1], the first and third authors investigated the motion of barbells on surfaces of constant curvature. It is natural to extend this study to pendulums. We define the notion of a pendulum on a surface of constant curvature and study the motion of a mass at a fixed distance from a pivot. We consider some special cases for the pendulum. Case 1: a pivot that moves with constant speed along a fixed geodesic. Case 2: a pivot that undergoes acceleration along a fixed geodesic. AMS classification: 37J, 53A, 70E, 85.
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