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math.DS2026
Morse Index, Stability and Spectral Bounds for Periodic Orbits in Reversible Lagrangian Systems
Alessandro Portaluri, Li Wu
We prove quantitative stability and instability estimates for reversible periodic solutions of strictly Legendre-convex Lagrangian systems. If the configuration dimension is , t…
nlin.SI2026
Canonical separating coordinates in the generalized cubic Hénon-Heiles systems
Alessandro Portaluri, Nicola Sottocornola
We study the three classical integrable generalized cubic Hénon--Heiles systems -- Kaup--Kupershmidt, KdV, and Sawada--Kotera -- from the viewpoint of bi-Hamiltonian geometry a…