KAM in Generalized Hamiltonian Systems with Multi-Scales

Author:

Zhao Xuefeng,Li YongORCID

Funder

National Basic Research Program of China

NSFC

JilinDRC

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference47 articles.

1. Arnold, V.I.: Small denominators and problems of stability of motion in classical mechanics. Usp. Mat. Nauk 18, 91–192 (1963)

2. Arnold, V.I.: Dynamical Systems III. Springer-Verlag, Berlin (1988)

3. Arnold, V.I.: Proof of A.N.Kolmogorov’s theorem on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian. Russian Math. Surveys 18, 9–36 (1963)

4. Biasco, L., Chierchia, L., Treschev, D.: Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. J. Nonlinear Sci. 16, 79–107 (2006)

5. Biasco, L., Chierchia, L., Valdinoci, E.: N-dimensional elliptic invariant tori for the planar (N+1)-body problem SIAM. J. Math. Anal. 37, 2560–2588 (2006)

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