Arnold Diffusion and Nekhoroshev Theory
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Publisher
Springer International Publishing
Link
https://link.springer.com/content/pdf/10.1007/978-3-031-13115-8_5
Reference62 articles.
1. Arnold, V.I.: Proof of a theorem of A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian. Usp. Mat. Nauk. 18, 13; Russ. Math. Surv. 18, 9 (1963)
2. Arnold, V.I.: Instability of dynamical systems with several degrees of freedom. Sov. Math. Dokl. 6, 581 (1964)
3. Benettin, G., Galgani, L., Giorgilli, A.: A proof of Nekhoroshev’s theorem for the stability times in nearly integrable Hamiltonian systems. Celest. Mech. Dyn. Astron. 37, 1 (1985)
4. Benettin, G., Gallavotti, G.: Stability of motions near resonances in quasi-integrable Hamiltonian systems. J. Stat. Phys. 44, 293 (1986)
5. Bernard, P., Kaloshin, V., Zhang, Ke.: Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Math. 217, 1 (2016)
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