Preprint
Sep 2026
Morse Index, Stability and Spectral Bounds for Periodic Orbits in Reversible Lagrangian Systems
We prove quantitative stability and instability estimates for reversible periodic solutions of strictly Legendre-convex Lagrangian systems. If the configuration dimension is $n$, the fixed-period Morse index is $k$, and $k_D,\nu_D$ are the Dirichlet index and nullity on a half-period, set \[ \widetilde k=k-2k_D-\nu_D....
A. Portaluri, Li Wu
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