Kolmogorov–Arnold–Moser (KAM) Theory

Author:

Chierchia Luigi

Publisher

Springer New York

Reference104 articles.

1. Ahlfors LV (1978) Complex analysis. An introduction to the theory of analytic functions of one complex variable, 3rd edn. International Series in Pure and Applied Mathematics. McGraw–Hill, New York, xi+331 pp

2. Arnold VI (1963) Proof of a Theorem by Kolmogorov AN on the invariance of quasi‐periodic motions under small perturbations of the Hamiltonian. Russ Math Surv 18:13–40

3. Arnold VI (1963) Small divisor problems in classical and Celestial Mechanics. Russ Math Surv 18:85–191

4. Arnold VI (1964) Instability of dynamical systems with many degrees of freedom (Russian). Dokl Akad Nauk SSSR 156:9–12

5. Arnold VI (1974) Mathematical methods of classical mechanics series: graduate texts in mathematics, vol 60. Originally published by Nauka, Moscow, 1974. 2nd edn. 1989. Corr. 4th printing, 1997, pp XVI,509

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Complex Arnol’d – Liouville Maps;Regular and Chaotic Dynamics;2023-07-31

2. V. I. Arnold’s “Pointwise” KAM Theorem;Regular and Chaotic Dynamics;2019-11

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