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Название: Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities
Авторы: Katok A., Strelcyn J., Ledrappier F.
During the past twenty-five years the hyperbolic properties of
smooth dynamical systems (i.e. of diffeomorphisms and flows) were
studied in the ergodic theory of such systems in a more and more
general framework (see [AnO]l,2, [Sma], [Nit], [Bri], [Kat] I, [PeS]l, 3,
[Rue]2,3). The detailed historical survey of the hyperbolicity and
its role in the ergodic theory up to 1967 is given in [Ano]2, Chapter ].