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Dynamical Systems · Chapter VI

§1Periodic points near an elliptic equilibrium
§2Finite-time twist estimates
§3Reduction on a fixed energy surface
§4Twist, resonance and the limits of stability
§5The Poincaré–Birkhoff annulus theorem
§6Billiards as a discrete variational problem
§§7–8Dynamics of the billiard map
§9Periodic billiard orbits
§10Geodesic return maps
§11Closed geodesics and fixed-point index