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2018

Notes on hyperbolic dynamics

Dyatlov, Semyon

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These expository notes present a proof of the Stable/Unstable Manifold Theorem (also known as the Hadamard--Perron Theorem).

They also give examples of hyperbolic dynamics: geodesic flows on surfaces of negative curvature and dispersing billiards.

Notes on hyperbolic dynamics · Around

Built on

Dmitri Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90
1967
Earlier work this paper cites.

Similar

Anatole Katok and Boris Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge Univ. Press, 1997
Original
1997
Cited alongside, same era.

Then

Nikolai Chernov and Roberto Markarian, Chaotic billiards, Math. Surv. Mon. 127
2006
Later among the works it cites.

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