The existence of an infinite number of elliptic and hyperbolic periodic trajectories for a convex billiard
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Publication:1214710
DOI10.1007/BF01078881zbMath0298.58006MaRDI QIDQ1214710
Publication date: 1973
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
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Separatrices splitting for Birkhoff’s billiard in symmetric convex domain, closed to an ellipse ⋮ Smoothness of the Billiard Ball Map for Strictly Convex Domains Near the Boundary ⋮ On the ergodic properties of nowhere dispersing billiards ⋮ Creating transverse homoclinic connections in planar billiards
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