Normal form and Nekhoroshev stability for nearly integrable hamiltonian systems with unconditionally slow aperiodic time dependence

Author:

Fortunati Alessandro,Wiggins Stephen

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference21 articles.

1. Arnol’d, V. I., Proof of a Theorem of A. N. Kolmogorov on the Invariance of Quasi-periodic Motions under Small Perturbations of the Hamiltonian, Russian Math. Surveys, 1963, vol. 18, no. 5, pp. 9–36; see also: Uspekhi Mat. Nauk, 1963, vol. 18, no. 5, pp. 13–40.

2. Benettin, G., Galgani, L., and Giorgilli, A., A Proof of Nekhoroshev’s Theorem for the Stability Times in Nearly Integrable Hamiltonian Systems, Celestial Mech., 1985, vol. 37, no. 1, pp. 1–25.

3. Bounemoura, A., Effective Stability for Slow Time-Dependent Near-Integrable Hamiltonians and Application, C. R. Math. Acad. Sci. Paris, 2013, vol. 351, nos. 17–18, pp. 673–676.

4. Gallavotti, G., Quasi-Integrable Mechanical Systems, in Phénomènes critiques, systèmes aléatoires, théories de jauge (Les Houches, 1984): Part 1, 2, Amsterdam: North-Holland, 1986, pp. 539–624.

5. Giorgilli, A., Notes on Exponential Stability of Hamiltonian Systems, in Dynamical Systems: Part 1. Hamiltonian Systems and Celestial Mechanics, Pisa: Centro di Recerca Matematica Ennio De Giorgi, Scuola Normale Superiore, 2002.

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