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math.DS2026
On the density of Lyapunov unstable elliptic equilibria
Bassam Fayad, Jaime Paradela, Maria Saprykina +1
We prove that any real-analytic Hamiltonian in five or more degrees-of-freedom, with a locally integrable non-degenerate elliptic equilibrium with indefinite quadratic part, can be…
math.DS2026
Chaoticity of generic analytic convex billiards
Inmaculada Baldomá, Anna Florio, Martin Leguil +1
We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number , all intersecti…