Aubry-Mather sets and Birkhoff's theorem for geodesic flows on the two-dimensional torus

Author:

Bialy M. L.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. [Ar] Arnold, V.I.: Mathematical methods of classical mechanics. Berlin, Heidelberg, New York: Springer c 1978

2. [A] Aubry, S., Le Daeron, P.Y.: The discrete Frencel-Kontorova model and its extension. Physica8D, 381–422 (1983)

3. [Ba] Bangert, V.: Mather sets for twist maps and geodesics on tori. Dynamics reported 1 (1987)

4. [Be] Beck, A.: Continuous flows in the plane. Berlin, Heidelberg, New York: Springer 1974

5. [B] Bialy, M.: On the number of caustics for invariant tori of hamiltonian systems with two degrees of freedom. To appear in Ergodic Theorem Dyna. Syst.

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