A realistic exponential estimate for a paradigm hamiltonian

P. Lochak; A. Porzio

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 51, Issue: 2, page 199-219
  • ISSN: 0246-0211

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Lochak, P., and Porzio, A.. "A realistic exponential estimate for a paradigm hamiltonian." Annales de l'I.H.P. Physique théorique 51.2 (1989): 199-219. <http://eudml.org/doc/76465>.

@article{Lochak1989,
author = {Lochak, P., Porzio, A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Nekhoroshev-type theorem; one-dimensional nonautonomous Hamiltonian system; classical perturbation scheme; stability times},
language = {eng},
number = {2},
pages = {199-219},
publisher = {Gauthier-Villars},
title = {A realistic exponential estimate for a paradigm hamiltonian},
url = {http://eudml.org/doc/76465},
volume = {51},
year = {1989},
}

TY - JOUR
AU - Lochak, P.
AU - Porzio, A.
TI - A realistic exponential estimate for a paradigm hamiltonian
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 51
IS - 2
SP - 199
EP - 219
LA - eng
KW - Nekhoroshev-type theorem; one-dimensional nonautonomous Hamiltonian system; classical perturbation scheme; stability times
UR - http://eudml.org/doc/76465
ER -

References

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  1. [A] V.I. Arnold, Instability of Dynamical Systems with Several Degrees of Freedom, Sov. Mat. Doklady, Vol. 5, 1964. Zbl0135.42602
  2. [B G G] G. Benettin, A. Giorgilli and L. Galgani, A Proof of Nekhoroshev Theorem for the Stability Times in Nearly Integrable Hamiltonian Systems, Celestial Mechanics, Vol. 37, 1985. Zbl0602.58022MR830795
  3. [B G] G. Benettin and G. Gallavotti, Stability of Motion Near Resonances in Quasi Integrable Halmiltonian Systems, J. Stat. Phys., Vol. 44, 1986. Zbl0636.70018MR857061
  4. [G D F G S] A. Giorgilli, A. Delshams Valdes, E. Fontich, E. Galgani and C. Simo, Effective Stability for an Hamiltonian System Near Elliptic Equilibrium Point with an Application to the Restricted Three Bodies Problem, J. Diff. Eq., Vol. 77, 1989. Zbl0675.70027
  5. [Cel Ch] A. Celletti and L. Chierchia, Construction of Analytic KAM Surfaces and Effective Stability Bounds, Comm. Math. Phys., Vol. 118, 1988. Zbl0657.58032MR954678
  6. [Es] D. Escande, Phys. Reports1985. 
  7. [E D] D. Escande and F. Doveil, J. Stat. Phys., Vol. 26, 1981. MR643709
  8. [G G] L. Galgani and A. Giorgilli, Rigorous Estimates for the Series Expansions of Hamiltonian Perturbation Theory, Celestial Mechanics, Vol. 37, 1985. MR838181
  9. [G] G. Gallavotti, Meccanica elementare Boringhieri, 1980. Zbl0519.70002
  10. [Gre] Greene, J. Math. Phys., Vol. 20, 1979. 
  11. [Khi] A. Khinchin, Continued fractions, Chicago, 1964. Zbl0117.28601MR161833
  12. [N] A. Neistadt, On the Separation of Motions in Systems with Rapidly Rotating Phase, J. Appl. Math. Mech., Vol. 48, 1984. Zbl0571.70022MR802878
  13. [Nekh] N. Nekhoroshev, An Exponential Estimate of the Time of Stability of Nearly Integrable Hamiltonian Systems, 1, Russ. Math. Surveys, Vol. 32, 1977; 2, Trudy Sem Petrov, Vol. 5, 1979. Zbl0389.70028MR501140

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