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math.DS2023★ 1 cited
Chaotic phenomena for generalised N-centre problems
Stefano Baranzini, Gian Marco Canneori
We study a class of singular dynamical systems which generalise the classical N-centre problem of Celestial Mechanics to the case in which the configuration space is a Riemannian s…
math.DS2023
Morse index of circular solutions for attractive central force problems on surfaces
Stefano Baranzini, Alessandro Portaluri, Ran Yang
The classical theory of attractive central force problem on the standard (flat) Euclidean plane can be generalized to surfaces by reformulating the basic underlying physical princi…