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Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum

Alessandra Celletti; Corrado Falcolini; Anna Porzio

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 47, Issue: 1, page 85-111
  • ISSN: 0246-0211

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Celletti, Alessandra, Falcolini, Corrado, and Porzio, Anna. "Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum." Annales de l'I.H.P. Physique théorique 47.1 (1987): 85-111. <http://eudml.org/doc/76373>.

@article{Celletti1987,
author = {Celletti, Alessandra, Falcolini, Corrado, Porzio, Anna},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {KAM estimates; forced pendulum; stability of a KAM torus; golden section},
language = {eng},
number = {1},
pages = {85-111},
publisher = {Gauthier-Villars},
title = {Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum},
url = {http://eudml.org/doc/76373},
volume = {47},
year = {1987},
}

TY - JOUR
AU - Celletti, Alessandra
AU - Falcolini, Corrado
AU - Porzio, Anna
TI - Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 47
IS - 1
SP - 85
EP - 111
LA - eng
KW - KAM estimates; forced pendulum; stability of a KAM torus; golden section
UR - http://eudml.org/doc/76373
ER -

References

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  2. [2] G. Gallavotti, Perturbation theory for classical hamiltonian systems, « Scaling and Self Similarity », Progress in Physics, t. 7, 1984. MR733479
  3. [3] G. Gallavotti, Quasi integrable mechanical systems, Les Houches Summer School 1984, procendings, ed. K. Osterwalder, R. Stora, North Holland, 1986 (in print). Zbl0662.70022MR880535
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  5. [5] A. Porzio, Stability bounds for the existence of KAM tori in a forced pendulum, in print: Boll. Unione Matematica Italiana, 1986. Zbl0605.70015MR841619
  6. [6] A. Celletti, C. Falcolini, A. Porzio, Rigorous KAM stability statements for non autonomous one-dimensional hamiltonian systems, 1986. Zbl0682.70019
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  16. [16] A. Celletti, L. Chierchia, Rigorous Estimates for a Computer-Assisted KAM theory, to appear in J. of Math. Phys. Zbl0651.58011MR904422
  17. [17] Vax-11 Fortran IV, Plus, Language reference manual, Digital Equipment Corporation, Maynard, Massachusetts, 1978. 
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