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Classical dynamics of a family of billiards with analytic boundaries. (English) Zbl 0622.70011


MSC:

37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010)
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
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