Semi-analytic Computations of the Speed of Arnold Diffusion Along Single Resonances in A Priori Stable Hamiltonian Systems-Reference-Cited by-同舟云学术

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Semi-analytic Computations of the Speed of Arnold Diffusion Along Single Resonances in A Priori Stable Hamiltonian Systems

Published:2019-11-11 Issue:3 Volume:30 Page:851-901
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Guzzo Massimiliano^ORCID,Efthymiopoulos Christos,Paez Rocío I.

Funder

European Research Council

Academy of Athens

Universita degli Studi di Padova

MIUR

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00332-019-09594-9.pdf

Reference67 articles.

1. Arnold, V.I.: Instability of dynamical systems with several degrees of freedom. Sov. Math. Dokl. 6, 581 (1964)

2. Benettin, G., Gallavotti, G.: Stability of motions near resonances in quasi-integrable Hamiltonian systems. J. Stat. Phys. 44, 293 (1985)

3. Benettin, G., Giorgilli, A.: On the Hamiltonian interpolation of near to the identity symplectic mappings, with application to symplectic integration algorithms. J. Stat. Phys. 73, 1117 (1994)

4. Benettin, G., Carati, A., Gallavotti, G.: On the conservation of adiabatic invariants for a system of coupled rotators. Physica D 104, 253 (1997)

5. Benettin, G., Fassoànd, F., Guzzo, M.: Long-term stability of proper rotations of the Euler perturbed rigid body. Commun. Math. Phys. 250, 133 (2004)

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