Small denominators and exponential stability: From Poincaré to the present time View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1998-12

AUTHORS

Antonio Giorgilli

ABSTRACT

The classical problem of small denominators is revisited in its historical development, ending with recent results on exponential stability.

PAGES

19

References to SciGraph publications

  • 1994-07. Twistless KAM tori in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1995-03. Superexponential stability of KAM tori in JOURNAL OF STATISTICAL PHYSICS
  • 1967-03. Convergent series expansions for quasi-periodic motions in MATHEMATISCHE ANNALEN
  • 1986-08. Stability of motions near resonances in quasi-integrable Hamiltonian systems in JOURNAL OF STATISTICAL PHYSICS
  • 1992-09. Exponential stability for time dependent potentials in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1985-09. A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1890-12. Erratum zu: Etude des surfaces asymptotiques in ACTA MATHEMATICA
  • 1978-04. Formal integrals for an autonomous Hamiltonian system near an equilibrium point in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1990-03. On the stability of the lagrangian points in the spatial restricted problem of three bodies in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1996-01. Compensations in small divisor problems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1997-01. Invariant KAM tori and global stability for Hamiltonian systems in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1997-03. Kolmogorov theorem and classical perturbation theory in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
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    http://scigraph.springernature.com/pub.10.1007/bf02925829

    DOI

    http://dx.doi.org/10.1007/bf02925829

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