3 papers
math.DS2026
Relative equilibria, linear stability and electromagnetic curvature
Luca Asselle, Giorgia Testolina
In this paper we study the linear stability of relative equilibria in the Newtonian -body problem from the viewpoint of electromagnetic systems. We first examine the effect of t…
math.DS2026
Non-minimality and instability of brake orbits for natural Lagrangians on Riemannian manifolds
Luca Asselle, Xijun Hu, Alessandro Portaluri +1
We investigate minimality and stability of periodic brake orbits in natural Lagrangian systems on smooth Riemannian manifolds. We prove that every non-constant periodic brake orbit…
math.AP2026
Morse homology for strongly indefinite functionals on Banach spaces
L. Asselle, S. Cingolani, M. Starostka
In this paper we lay the foundations for the Morse theoretical study of strongly indefinite functionals on Banach manifolds by developing the local theory for a specific model clas…