The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence

Author:

Fortunati Alessandro,Wiggins Stephen

Publisher

Springer International Publishing

Reference19 articles.

1. Kolmogorov, A.N.: On conservation of conditionally periodic motions under small perturbations of the Hamiltonian. Dokl. Akad. Nauk. USSR 98 (4), 527–530 (1954)

2. Arnold, V.I.: Proof of A. N. Kolmogorov’s theorem on the preservation of quasiperodic motions under small perturbations of the Hamiltonian. Russ. Math. Surv. 18 (5), 9–36 (1963)

3. Moser, J.: On invariant curves of an area preserving mappings of an annulus. Nachr. Akad. Wiss. Göttingen II. Math. Phys. Kl. 25, 1–20 (1962)

4. Nekhoroshev, N.N.: An exponential estimate on the time of stabilty of nearly-integrable Hamiltonian systems. Russ. Math. Surv, 32:1–65, 1977.

5. Scott Dumas, H.: The KAM Story. World Scientific, Singapore (2014)

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