Arnold diffusion for a complete family of perturbations

Author:

Delshams Amadeu,Schaefer Rodrigo G.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference30 articles.

1. Bernard, P., Arnold’s Diffusion: From the a priori Unstable to the a priori Stable Case, in Proc. of the 26th Internat. Congress of Mathematicians (ICM 2010, Hyderabad, India): Vol. 3, New Delhi: Hindustan Book Agency, 2010, pp. 1680–1700.

2. Bernard, P., Kaloshin, V., and Zhang, K., Arnold Diffusion in Arbitrary Degrees of Freedom and Crumpled 3-Dimensional Normally Hyperbolic Invariant Cylinders, Acta Math., 2017 (to appear).

3. Berti, M., Biasco, L., and Bolle, Ph., Drift in Phase Space: A New Variational Mechanism with Optimal Diffusion Time, J. Math. Pures Appl. (9), 2003, vol. 82, no. 6, pp. 613–664.

4. Bessi, U., Chierchia, L., and Valdinoci, E., Upper Bounds on Arnold Diffusion Times via Mather Theory, J. Math. Pures Appl. (9), 2001, vol. 80, no. 1, pp. 105–129.

5. Bounemoura, A. and Marco, J.-P., Improved Exponential Stability for Near-Integrable Quasi-Convex Hamiltonians, Nonlinearity, 2011, vol. 24, no. 1, pp. 97–112.

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