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math.DS2021
Linear instability of periodic orbits of free period Lagrangian systems
Alessandro Portaluri, Li Wu, Ran Yang
In this paper we provide a sufficient condition for the linear instability of a periodic orbit for a free period Lagrangian system on a Riemannian manifold. The main result establi…
math.DS2021
Spectral stability, spectral flow and circular relative equilibria for the Newtonian -body problem
Luca Asselle, Alessandro Portaluri, Li Wu
For the Newtonian (gravitational) -body problem in the Euclidean -dimensional space, , the simplest possible periodic solutions are provided by circular relative equi…