Renormalization-group analysis for the transition to chaos in Hamiltonian systems

Author:

Chandre C.,Jauslin H.R.

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference110 articles.

1. A.N. Kolmogorov, On the conservation of quasi-periodic motions for a small change in the Hamiltonian function, Dokl. Akad. Nauk SSSR 98 (1954) 527–530 (in Russian).

2. Preservation of conditionally periodic movements with small change in the Hamilton function;Kolmogorov,1979

3. Proof of a theorem of A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian;Arnold;Russ. Math. Surv.,1963

4. On invariant curves of area-preserving mappings of an annulus;Moser;Nachr. Akad. Wiss. Goett., Math.-Phys. Kl. IIa,1962

5. Converse KAM: Theory and practice;MacKay;Commun. Math. Phys.,1985

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