Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems

Author:

Cheng Chong-Qing

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. [A1] Arnol'd, V.I.: “Mathematical Methods of Classical Mechanics”. Berlin, Heidelberg, New York: Springer, 1978

2. [A2] Arnol'd, V.I.: Proof of A.N. Kolmogorov's theorem on the preservation of quasi periodic motions under small perturbations of Hamiltonian. Usp. Math. USSR18, 9–36 (1963)

3. [Au] Aubry, S.: Theory of the devil's staircase. Lect. Notes Math.925 (1978–79)

4. [BK] Berstein, D., Katok, A.: Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians. Invent. Math.88, 225–241 (1987)

5. Seminar on Dynamical Systems;L. Chierchia,1994

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